diff --git a/environment.yml b/environment.yml
index 037baba2c4f74211d40959788296dfe2b9ac0ea5..43cfc56e4130053318db97084ba13145eb202dd7 100644
--- a/environment.yml
+++ b/environment.yml
@@ -10,7 +10,7 @@ dependencies:
- k3d # ==2.12.0
- ipywidgets # ==7.6.5
- ipympl # ==0.8.8
-- ipyregulartable # ==0.2.0
+# - ipyregulartable # ==0.2.0
- ipytree # ==0.2.1
#- pyface==7.3.0
#- traitsui==7.1.0
diff --git a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
index e26dd16f041e4741d8b108101b3113ab89c147c1..009feb8335d3c11da9bb1f57f890d95a5c5480bc 100644
--- a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
+++ b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
@@ -119,7 +119,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 2,
"metadata": {},
"outputs": [
{
@@ -132,7 +132,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "4df4ef331ba34cab936082a0a5ef7d36",
+ "model_id": "ca8a891f35f449b48af22b8ffb3edc84",
"version_major": 2,
"version_minor": 0
},
@@ -159,7 +159,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
@@ -177,7 +177,7 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 6,
"metadata": {},
"outputs": [
{
@@ -190,7 +190,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "d51262d492e84c1b9b82488c9c854522",
+ "model_id": "a3386a83b8144fb3a2f3c5f64e40204f",
"version_major": 2,
"version_minor": 0
},
@@ -226,33 +226,29 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": 8,
"metadata": {},
"outputs": [
{
- "ename": "TypeError",
- "evalue": "get_corr_pred() got an unexpected keyword argument 'kappa_n'",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m<ipython-input-10-8fbd37e44f78>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 20\u001b[0m loading_range='non-symmetric')\n\u001b[1;32m 21\u001b[0m \u001b[0mpm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 22\u001b[0;31m \u001b[0mpm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minteract\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_utils/model.py\u001b[0m in \u001b[0;36minteract\u001b[0;34m(self, **kw)\u001b[0m\n\u001b[1;32m 43\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 44\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0minteract\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 45\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mAppWindow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minteract\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 46\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mapp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_utils/app_window.py\u001b[0m in \u001b[0;36minteract\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 133\u001b[0m layout=ipw.Layout(align_items=\"stretch\",\n\u001b[1;32m 134\u001b[0m width=\"100%\"))\n\u001b[0;32m--> 135\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel_tree\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mselected\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 136\u001b[0m \u001b[0mdisplay\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mapp_print\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 137\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/traitlets/traitlets.py\u001b[0m in \u001b[0;36m__set__\u001b[0;34m(self, obj, value)\u001b[0m\n\u001b[1;32m 602\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTraitError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'The \"%s\" trait is read-only.'\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 603\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 604\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 605\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 606\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_validate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/traitlets/traitlets.py\u001b[0m in \u001b[0;36mset\u001b[0;34m(self, obj, value)\u001b[0m\n\u001b[1;32m 591\u001b[0m \u001b[0;31m# we explicitly compare silent to True just in case the equality\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 592\u001b[0m \u001b[0;31m# comparison above returns something other than True/False\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 593\u001b[0;31m \u001b[0mobj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_notify_trait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mold_value\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnew_value\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 594\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 595\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__set__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/traitlets/traitlets.py\u001b[0m in \u001b[0;36m_notify_trait\u001b[0;34m(self, name, old_value, new_value)\u001b[0m\n\u001b[1;32m 1215\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1216\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_notify_trait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mold_value\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnew_value\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1217\u001b[0;31m self.notify_change(Bunch(\n\u001b[0m\u001b[1;32m 1218\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1219\u001b[0m \u001b[0mold\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mold_value\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/ipywidgets/widgets/widget.py\u001b[0m in \u001b[0;36mnotify_change\u001b[0;34m(self, change)\u001b[0m\n\u001b[1;32m 604\u001b[0m \u001b[0;31m# Send new state to front-end\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 605\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msend_state\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 606\u001b[0;31m \u001b[0msuper\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mWidget\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnotify_change\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchange\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 607\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 608\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__repr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/traitlets/traitlets.py\u001b[0m in \u001b[0;36mnotify_change\u001b[0;34m(self, change)\u001b[0m\n\u001b[1;32m 1225\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mnotify_change\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mchange\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1226\u001b[0m \u001b[0;34m\"\"\"Notify observers of a change event\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1227\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_notify_observers\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchange\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1228\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1229\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_notify_observers\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mevent\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/traitlets/traitlets.py\u001b[0m in \u001b[0;36m_notify_observers\u001b[0;34m(self, event)\u001b[0m\n\u001b[1;32m 1262\u001b[0m \u001b[0mc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1263\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1264\u001b[0;31m \u001b[0mc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mevent\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1265\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1266\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_add_notifiers\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhandler\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtype\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_utils/app_window.py\u001b[0m in \u001b[0;36mselect_node\u001b[0;34m(self, event)\u001b[0m\n\u001b[1;32m 227\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_plot_backend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbackend\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 228\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msetup_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcontroller\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 229\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcontroller\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 230\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 231\u001b[0m \u001b[0mcurrent_plot_backend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mStr\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_utils/app_window.py\u001b[0m in \u001b[0;36mupdate_plot\u001b[0;34m(self, model)\u001b[0m\n\u001b[1;32m 250\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mupdate_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 251\u001b[0m \u001b[0mpb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_backend_table\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcurrent_plot_backend\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 252\u001b[0;31m \u001b[0mpb\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 253\u001b[0m \u001b[0mpb\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow_fig\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 254\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_utils/app_window.py\u001b[0m in \u001b[0;36mupdate_plot\u001b[0;34m(self, model)\u001b[0m\n\u001b[1;32m 44\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_fig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 45\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_fig\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 46\u001b[0;31m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxes\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 47\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 48\u001b[0m \u001b[0;32mclass\u001b[0m \u001b[0mK3DBackend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mPlotBackend\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_cross_section/pullout/pullout_sim.py\u001b[0m in \u001b[0;36mupdate_plot\u001b[0;34m(self, axes)\u001b[0m\n\u001b[1;32m 934\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhistory\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_geo\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max_geo\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 935\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhistory\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_Pw\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max_Pw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 936\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhistory\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_G_t\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max_energy\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 937\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhistory\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_dG_t\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max_dG_t\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_cross_section/pullout/pullout_sim.py\u001b[0m in \u001b[0;36mplot_G_t\u001b[0;34m(self, ax, label_U, label_W, color_U, color_W)\u001b[0m\n\u001b[1;32m 259\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mW_t\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcolor_W\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlabel_W\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 260\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mU_bar_t\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcolor_U\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlabel_U\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 261\u001b[0;31m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mU_bar_t\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mG_omega_t\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'black'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlinestyle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'dashed'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'G_t'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 262\u001b[0m ax.fill_between(t, W_t, U_bar_t, facecolor='gray', alpha=0.3,\n\u001b[1;32m 263\u001b[0m label='G(t)')\n",
- "\u001b[0;32m/opt/conda/lib/python3.8/site-packages/bmcs_cross_section/pullout/pullout_sim.py\u001b[0m in \u001b[0;36m_get_G_omega_t\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 178\u001b[0m \u001b[0mA\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mxmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mA\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 179\u001b[0m \u001b[0meps_tEms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_eps_tEms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mslice\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 180\u001b[0;31m _, D0_rs = mats.get_corr_pred(np.array([[0,0,0]]), 0,\n\u001b[0m\u001b[1;32m 181\u001b[0m kappa_n=np.array([0]), omega_n=np.array([0]))\n\u001b[1;32m 182\u001b[0m \u001b[0mw_ip\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfets\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mip_weights\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;31mTypeError\u001b[0m: get_corr_pred() got an unexpected keyword argument 'kappa_n'"
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "c8a40e7c91e742b5b46a3bb30e7a6ca1",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
}
],
"source": [
@@ -270,12 +266,10 @@
"pm.geometry.L_x = 300 # length of the specimen [mm]\n",
"pm.w_max = 1.8 # maximum control displacement [mm]\n",
"pm.n_e_x = 100 # number of finite elements\n",
- "pm.loading_scenario = 'cyclic'\n",
- "pm.loading_scenario_.trait_set(number_of_cycles=2,\n",
+ "pm.loading_scenario.profile = 'cyclic-nonsym-const'\n",
+ "pm.loading_scenario.profile_.trait_set(number_of_cycles=2,\n",
" unloading_ratio=0.0,\n",
- " numbe_of_increments=200,\n",
- " amplitude_type='constant',\n",
- " loading_range='non-symmetric')\n",
+ " numbe_of_increments=200)\n",
"pm.run()\n",
"pm.interact()"
]
diff --git a/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb b/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
index 409829b13be85eaae8ef089a81fcd9e7314e93c9..de7a4ea11e5c1240eeb74b798040806ae774676a 100644
--- a/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
+++ b/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
@@ -67,13 +67,20 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 1,
"metadata": {},
"outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "0b02442c72fb4a6f98046ba52f7f69e0",
+ "model_id": "98f42979accc40d7848695d7004fcc0a",
"version_major": 2,
"version_minor": 0
},
@@ -104,13 +111,20 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": 2,
"metadata": {},
"outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "2236eef753d545c1a37952c3883db077",
+ "model_id": "0c7c593a610549f58bccfa3bcbbd9256",
"version_major": 2,
"version_minor": 0
},
@@ -240,7 +254,7 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "skip"
@@ -316,7 +330,7 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -325,7 +339,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
],
@@ -335,7 +349,7 @@
"-τ_Y + ╲╱ \\tau "
]
},
- "execution_count": 13,
+ "execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
@@ -373,7 +387,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -382,7 +396,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle E_{b} \\left(s - s_{pl}\\right)$"
],
@@ -390,7 +404,7 @@
"E_bâ‹…(s - sâ‚šâ‚—)"
]
},
- "execution_count": 14,
+ "execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
@@ -475,7 +489,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -484,7 +498,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}$"
],
@@ -496,7 +510,7 @@
" \\tau "
]
},
- "execution_count": 15,
+ "execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
@@ -606,7 +620,7 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -615,7 +629,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)$"
],
@@ -623,7 +637,7 @@
"E_bâ‹…(\\dot{s} - \\dot{s}__\\mathrm{pl})"
]
},
- "execution_count": 16,
+ "execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
@@ -649,7 +663,7 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 8,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -658,7 +672,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{E_{b} \\left(\\dot{s} \\sqrt{\\tau^{2}} - \\lambda \\tau\\right)}{\\tau}$"
],
@@ -670,7 +684,7 @@
" \\tau "
]
},
- "execution_count": 17,
+ "execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
@@ -693,7 +707,7 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 9,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -702,7 +716,7 @@
"outputs": [
{
"data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB8AAAAqCAYAAABLGYAnAAACZklEQVR4nOXXS4hOYRzH8c870UyKhctiCiMLooxLs5EshMKGRHakocSCjctykpKUkr3EQkmZsRBC0pDkuplSrilmJpMs5DaMxXOmeTvzzpznnN7MNPOrp97T8/8/3/Nc3v/zO6WWlhYRmo0OrMSzmIQYTYiM+4gl+FAtcB54L15VEww11R5wTMFLOISX+IFuXE76WtE3RNueNXDMnh/ETuwV9r0ei5O+ZuxBLd5gG9qTvp5qwNfhGm4nz+/xMAVYKqziPWFlohSz7FdwALewD9MrxDSiMw84Fn4G84TZ78ZrLKgAf5EHHAuXAE+hSTiAjan+ucKBzKWsPT+MLjwSCs0O/MLdVFwNGjBTqIZ/Y+BZM6/FETzBA+GUr05eqFynhUP3FhNjwGTP/GjSsnRHmHkujfoKNzbh/XveN5Lw0kjAR8WyZ6kO36sNj535GgOltWotFr4MTyNjoxXrZPrdyX+HN+FxznFnCZdPh3DVbi4KXyXU7jzqxX4sxFrh4plUBF6HnznhnwyYi258UcEBZcEb8C4nOK0m4Zod9LVTDp+CXan+DYJ9KqppOC+43EEHthy+BccEA9GvGficymkV59VrBfN5XDAig1QOP4ubglOByfhaIadZ8O5zBLu0NXmux8UkpoRzwkG9UAmchkMbNia/1+NGhZwewSZPNeDVO5P2O4lZIXxAbMLzpC1KD5Su7ddxMnnz+bg01Fsb3qu3i/gnpQO+CYVhufBfHU6FvPpwcMLSn8D9jNxCXj0LflVY8ix4uVcv5AsqJXUJn0V/MnILefVyDWUm2iJyC3n1co1f6zx+4f8AjFJ/AGn1DasAAAAASUVORK5CYII=\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{\\dot{s} \\tau}{\\sqrt{\\tau^{2}}}$"
],
@@ -714,7 +728,7 @@
" ╲╱ \\tau "
]
},
- "execution_count": 18,
+ "execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
@@ -778,7 +792,7 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 10,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -787,7 +801,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\dot{s}\\right\\}$"
],
@@ -795,7 +809,7 @@
"{\\dot{s}__\\mathrm{pl}: \\dot{s}}"
]
},
- "execution_count": 19,
+ "execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
@@ -840,7 +854,7 @@
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -849,7 +863,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{\\tau} : 0\\right\\}$"
],
@@ -857,7 +871,7 @@
"{\\dot{\\tau}: 0}"
]
},
- "execution_count": 21,
+ "execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
@@ -909,7 +923,7 @@
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": 12,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -918,7 +932,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle - Z - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
],
@@ -928,7 +942,7 @@
"-Z - τ_Y + ╲╱ \\tau "
]
},
- "execution_count": 22,
+ "execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
@@ -961,7 +975,7 @@
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -970,7 +984,7 @@
"outputs": [
{
"data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAANUAAAAcCAYAAAD2p/r/AAAIcElEQVR4nO2ceYwURRTGf4tKwCWAgKJgyOAqqyiHK54RlYB4G41BEm9QMSgexCsoieuBtyIqalTMRlQkigIeeJ8QFcVbUZR4hlVAzHqgKO76x1ft9vR2VXfP9MzOrvMlncrW+bqm3qvvvareitraWlJClUlXptVhGWW0RXSIKN8cOAk4MkZfL5qnjDLaO2qBPW2FLqUaALwArAGeTFemMspo05gJjAHuAiqChS6lmgNcDiwCGmMMlDFPqaKKZoranscsFkrp3fKRpY7km8Ya4AKgOzA+WLippdEwYAjti85575Jp52MWC6X0bq0lyyvABGCWP9O2Uw0xZf8UVqYyymjTaAKGBjNtStUNccXOBRSo2MhQfEvWGmPmi/uB1UBlRL0MpfNuGcJleQX5PTOAn81zI7CJo6/dkLKcGmPcSqAjCuj9B5tSefmbWcovNQPHeX5zjJMEz5v+RoSU9QZeMuWLgB4pjFfK8ObC9UzNod9hwAnAtcDvqUja+jgerb+9gTOA04HJjvrLgPnAVUCXiL47mjRrfdt8Kg9NlvxPURDDhi2ASWawBcQLdEShxsizLJA/HJiLFOty4IqUxitl1AAbgWmOOo/l0O/VwC/AnbkIVaKoB85Ba+czFNWejHYsG64B3jLtrnbUC11nNqXaFPgVTXAYHjdPGHoiS9oBafw4h1BxUYV2nxUBmc5HVrUBOBR4NoWxSh3eXLyHzkvSwgBgFHAv8EeK/bY23iR7c3gDuBLoin19L0UKeAZwHfbYwiqTZumRjZbVYFcaF7YEXgZ2BR5Fsfy/cugniGEmfdukXZElvhF4F8kbVKgluOnRqynI5aEXslpRlGwD0CnPsYJzkRbGIz96rqPOcDTvK4E/ke+1FLc1LxQKLcvDQD9kaGx4DtHkIf7MsJ3qAKAaGJ1QiK1RaHMgOuM6kejoYR1wMtrN6hz1vIX0DjAYKewOyAk9l3DFfRztmEGMQ5P1coRsSdAF0U4PGfRey8g+A1mDFkAY6kg2F2kr1Sj0e71pKb8E0c1vkQFbiyj3MOBgU14sJJFlT2QsvN1qL7TD2HYpD0tMeiB2BrQa+WhXAIcA66GlUt2GNG8fkjmqfVGgYACKHo0jXb/GW0gDkSVqQkr7gKNNGGe+ASlUHdlKkC++JpuKnYYU5GGLHPnAm4t9gG0tdW4g2e9XiULDyy3teqP5WgyMpKUR65VgrHyRVJY+wC3AHcAg4EIUhIiCZ7T2i6g3B/jIpLcCLwaVaipy9ichLhkH/ZBCVaFDsAnEV6gpyCeqd9SpQHQSZBV+R9bm45hjeH3MBCaa9GzsQZg0MNSk7ydok3QubL7qOpL7Wn1RmNk29o6mfAXhrGBtwvHyQVJZHjT130K/+SxgeoxxGhCr6BdRbytk6O9BetDCp2pAkZHj0AKMQn/km1QhKnY6yXaoeuQQNjjqDEDnZiuQ/1QJHJVgjE3QzjQRuB4ZjEIqFDRz7A8StEkyF4uRgoU9PUPaTSOcCnvw2vxsKf/EyDUeWAiMRRHeOPia+McvTbjZRy6ybES/eXdT73yy3ZJTgMMtbdfh3oUrgGcQPXzCyB8aqGgywl7o6Axge6RQGUQbJ1KYxerRnTfQy3+PojfHx2i7GaJgJyHrfXEB5AuiAvl9q5APlSa8uUiirKCd09XGi/bZgihrgX2RLzsSzekadCZYEzH2SuDzBM+q8G5SkSUpOuOOhI5CzGG+P9MWUm9AytKJcMe6Gm11fYCb0OXCQsEfpKhHirUYuA/4DnjN0q4TmvjDjHw3FVBGP/qj6OSSqIo5IB+lmuMoX23SsF3Ow8comtsR+RkTzN+7I/q4wdJuZBJBYyJXWZKgA9rdvnLUGWjSLHbhuulQQbjl2hntUH2QD1BIhYJspQItqLGI1s1HHDuISuApdHZ1JsVTKHzyJPH54iIXpdoS/VaNKDq73rTfy1enHln76hj9/YU+CToWGbeeKHjQGoiS5QBE/XJBNdKB9x11Qq/x2ZTKo3F/B/IHo1B0b0TBpsQWMRzboEXYzVLeAVnZjWQvpKeB8xBHfho5ix66ofOD/RFfjnM7oA698ynxxHaiq0mjQrZBxJ2LRhRtigsvsHEBiprVIIo1l2am0oR2/F6I1gfbh31WsT2wCwprf59AnnxQTFk8o+M6evHiB1luj43+bTAN/OHVvmaAHmhLbMQdZVoJzHaUg66DuM5mdkJnQB/Sktvejs6qzkE+4AhT5yEUbl4KbGeR8RqyKYJnXDZGyBsHK0x6Hpqrt3FTL79McebiF9y+4d1k+yVDkUU/GvjG5F2MjFQG+NLkzQOOAQ7y5YHm92Q0n58gqtif5q/Bx1O8a2HFlGU0CmgscNRZb9IsF8mmVF/RcoHtS/NF1f7AZRFC3Ua0UkVhN5O+YymfbGQ5AkWNxtB8rrCHeYJYTUtFG4SuZT2Vh6we3kVHE5OQYk0nnlJFwZuLrtjnvpGWVNe73fKNL88zln6mMg/4EQV1ZvryF6B1sgea305IaR9Cxy5fJHmJPFEsWbqhCPOTyG+34Q9TnnXJocLyj1+6IGGrcZ+btAd0B35Ci/Gi1hWlIFiOzmb8h9Bj0LlKL7KN5xR05lKD7hb+X3E2OsjdD3jdUW8aWj9n+TNtPtVvKJ4/g/zvqpU6hiPf8ebWFqQA2BxRZP8nPBXoatdsWrKR6cgvSfO2SVtDZ2Rc5uFWqEFoN7syWOD69OMeRAdmmQFy+ZSgLeAJ2q/hGEzzla6X0I5ci643hf2HrD9N3REogtpevqlKggzyS+scdaYjQzUa+CFYGPU91ULzlNE2MRQFjKYCjyC6twhFttZZ2ryG/ezv/4DlRF/zcn3kGKlUZbRt3GUeaL9Mo+SQxmfuZZRRhg9lpSqjjJTxL5m+IQVqKuYZAAAAAElFTkSuQmCC\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{Z} : K \\dot{z}, \\ \\dot{\\tau} : E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)\\right\\}$"
],
@@ -978,7 +992,7 @@
"{\\dot{Z}: Kâ‹…\\dot{z}, \\dot{\\tau}: E_bâ‹…(\\dot{s} - \\dot{s}__\\mathrm{pl})}"
]
},
- "execution_count": 23,
+ "execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
@@ -1036,7 +1050,7 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": 14,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1045,7 +1059,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}, \\ \\dot{z} : \\lambda\\right\\}$"
],
@@ -1057,7 +1071,7 @@
"⎩ \\tau âŽ"
]
},
- "execution_count": 25,
+ "execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
@@ -1091,7 +1105,7 @@
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": 15,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1100,7 +1114,7 @@
"outputs": [
{
"data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAARYAAAAhCAYAAAAcRYTuAAAL2klEQVR4nO2dfZgVVR3HP8tbvCiorJCitojAYmXrCkgWBL7RI668KFCPLyGpSCJhkj2QPS0qWoFRPkFmZTypJBUKaFJRaoXyjliShfG4kLqGvGcoBGx/fGe6c2fPmTszd+69Czuf57nP3b0zc865Z875nd/bnFtWW1tLSkpKSpK0yHF8DPAocGIR2mKjooR1p6Q0dT4ItCpynacAvwQG204IEiyTgKuAccDuJFsVgSnA8SWqOyU/TgAGAA0leDUnDgLfBMqKWGc9cAPwZaR8NMImWE4GpgE3A4cK0rTcjAH2A38pUf0p+TEcOB0N+GK/mhO7gFVokheTPcA1wDcwLP42wXIlsBY1OogezitpugATgR8WoOyU4jAU+HWpG9FM+AXQD/hYkevdDWwBavwHbIKlP/CvEAX/3nklzUxgHs1PrT1WaOO8/l3qhjQjZgNzS1DvbiQvsrAJlm5A64I2x0434NPA4hLVn5I/FwLPl7oRzYzVQAfgkiLX2xY4zf+hTbC0dy7IRQXJR21uApYA/0243JTiUQMsLXUjmiE/AKYWuc42SF5kYRMsZZROY/kssKxEdYelUL6lOOTTlvnA08k15f+cDmxLqKxpyN+3D3gHeAr4SEJll5JCjKFlwMUoBF0sWmGQI0Hh5lJ413sDPYEXS1B3FArlW4pDU2oLwLnAxgTLG4z8bRcgE+sQ8DvgpATrKAWFuG9bkfAdnnC5kQlKrPlP0VqRYSBa6UqVN5OSP1cgrSIphvr+vxbYC3wi4XqOFdYAg5BZVAz2I3MoC5vGchzwRohCOwIPAHUoUacB+Eq89gFa7bbkcX0S/BTYjhxhNipoOhnBFZjb8jzwIPBdJKh3o8hByxzlnYfu4+djtuc8YF3Ma8NwPBq3uVIhmjoVFGYMbUT3oFi8gWGumARLa2SShPFzPAbcCmwCvgXMID+nXQ/grRDnLSd39uWdMervSybppxQaW9Jcje7xx4EJwI3AbTmuWY8icvegBSYK3dD9K2SawHfQ5FlVwDrC4o7DIYZjXYFnnePLKJ7pthPojl1p6AocRgpBEjwDVOJznZhMoWuBFc4riErgcuA3wLAEGggamJtDnFeNbO2ZAec8EaP+e5GT8Psxrm2K1AOT0eD+G9ALCZbZOa67D4UvJ6M+8dMCOGL4vIbCmiezkJo/EE2OUlON+na97/OBwEI0iWcAd2Hur0KwB5km5Ujz9jMc3b8nE6pvGfAaMMJbplewtABGISHxmRAFXui8L0qmfYBWyPdznNMDSf+XgNoE6+6FPOo/At5LsNxSsops7WElcDcyYfcFXLcGCaIJ6DkU7ySuQYKpD40ny0VoYSoE9yNtcgjwjwLVEQV3HG4muy9vRxrvXuAytPAWE9c/aTPlRyKt5o8J1XcYyY15aDwsBRq86lJ7YCwSFDsDCroSDVY3y+8hMuZHZZ6NbEPulaiv8742z7r8jEfq3MKAcwYiTWgLEoDb0SQ0reqFptBteRw4Awlbl74oStMTRWm8dED3LmhhKEeDL5cZe4DsPKoHyAiVv8b5MgXAPw47ovsxG9iAtBm/UHmB4O/9B+L3kYtrwn/AcKwTUgieIjPP8q0P4G1kEo3C8eF5NZZ3gdFoxe4KzLEUUo/Uuy+g7RRcc6QBqUR+5gOfA653/g7iPfTlgyiUYLkYdbbNdp+Ovus2NGB2oH7qizKFpyfcniDCtuV8JCxdrWUA8oEEaSsuLzjvl5CZIOuc1wAU/fGay0OB3+Yo8zhkFrhUoLGxnux8mnfICKh5SKiMQA5bN0fjXedVKtxxuA44B20j0BM5zL+Ighl+nkR+GT/XIyH+HPH6yIsrUPYbjg1Di7fXTZBvfSB50M65DjD7WO5EA/bnwJuG4y8i+/sO4FWSNUf2ocftg3Bv6AUYUokdZhHN+doBqELfx3RdV9T5K5C67x805RHqypcobTkVOTvnAR9FT8DeE7IeV3APMhxbjB6bv8Pz2TCUzBZEHdnj5QY0GB/H7veZ6Lz7cz5mkOzYi4o7Ds9GWmIDMgMfDbjG9B1nIaEyn4wvptZzPEwfeWnnvJsWj5FofHuFW12e9VWicZWVlGcSLG8jgTIW+LalsLPRF9gQouJpyOasD3HuVoIFSxkKSYOkvIldRB9w3ZAKZ2tjpXN8M+aVaEfE+vIhSlsec85djQb+j7Fron72ohXqDMOxJSgKWIl8MS2AzpidhUFUOe8bA85pitsgeMfhjWiyDgBeiVjGXCQ456LoqimaVuW8bwxZbld07/b4Pm+LtNllBJurUeu7GlkqWYLMFpJ6EzkzbVQ772EESz0afHtDnLsZ7U5loxcylVZg34ujs++amZjVTy/uNbbEvE2o/eORc2os4XfVqyPaJkVBK17UthxCG3ad4JxzO9k+rHEosmdjF2ZtbDPwd2QOgcLZq3O024T7mP/LMa6NQh3J3gN3HG5Gc6ADMtXC0hJpKBORgJ6EPUQftY9OxeySuBSZPbmiQVHr64VhQQ7KvPVPUC+uYHkpZOVhWQl8CWlDpsiMq35GGYhVIc5367I5p3YAnwS+jjz9NWiCLge+SrCAdZ2rYcmVx5NPW6Jiuw8grWU4mhhXoMTCKJQh38RbyH4vJEnfA3ccrkQa+RoUbXsdaYlBtAYWoN0Za5FJZyNOH30Ys59wJNJwf5VwfSdhCLgECZYgFdSN328MWXlY/uTUW03GeeglrmD5WY5zXBU+SJi+gpzbbZDf4Sbn/37IlDpgue6isA2NQNy2RKEF0nRetxxfgp6k7YJM400Ry++OIimm+5w0Sd8Dr+O2Hml9K4CHgX9iD+W2RU7eYajv7s9RT5w+qqKxcGuJFqBnCbYc4tRnlBNBDyHawr5lSF16jeQ38tmJHjAbYDkeVbCcjFTDI8j5t9+51l9+PZLQvUOUedBp4xg0mDoju7YUBLVlMFKx49Ib3euNluOrkPY0hXh5JW5qQhS/RFPBK1hAY2osmsCLMadddEDawmUooppLqED0PjoTCXp/1vwgNDZymUFx7okbqs7CJlgOYlcde6HnNcKaQaegBucKI7s8jHmD3hZIGh8h/D64roNtKvK4VyM1byHZ2loDWmXKgbMMZZgebz8LPb6/jXDPVSVBMdviCt/nLMePoHyIqcTLtu3ovIcJfTcl3HF4iOwF7hkkZE90/u7iOdYJheI/hfxaYTO7o/bR5Uh4+CObo9D9WpJwfSBZ0UhDtplCO00nO0Rx3ILSw8PmsYAS9GaiSeQVXn2Q82kfwQ86PkTGRq5CX3wkijjhXPsyitd7V9pFKPlvqO/zyU771yB1fztSGV3H5XiKl65dzLZcirTWoMG4FPVZnCxO99GNKchOX0tuk7Up4I7DP9PY//Q9lMsyGfXNEOecBSg9Yg3SKmoN5d5H4zkXtY+uQ1EqPyNQmkiu7Wbj3JMDNI5AWQXLJuBDlmNRBUtUDiOH2AT0KwEu7hObHZHj0sQRslXMc5FNu9XzmSvN/draItTx15G9d+gS1E/9kR+jLRJcC1C6u8kDXyiK1ZZOaDA+jXwGNpYj522cX3LYgHKmJqGBPIejQ7C449D2BPdtSNjXoOjSaDK5QP0x7A+LFohaw+dR+mgA0lb9lkQ/lO8VJs0gzj1pjcF0KrP8EmI12iG/mI9f+1kEfI38UrhfRbkb3kSf0ei7ldN4QkxDyU7VJB/xOpq4FaXRD0IO9ZSmzxMoolrn+/xeNK7PxO6Ij0trp8wh+BY1m49lg3PBNQk3JAoTUAgv1/4hNtojtdS7xWYZSrd+BPMqOwf5Ke4yHGsutEMDcRGpUDlaGIt+AqTOcGwkMv2TFiogrWY5Bk05KCo0DvkbfoJhs9wisAOph1fFvP4cMmnW5yMH5yNILbSZUu87568jeKOnY5kK5Kcq9qbMKfHojkxXm8nSh0w2bVJ0RC6HKuAW0wk2U8jLaSgUm0RuRBxaEc+GvxlJ1OnoeZlyFIa7BT22kJJyLBB3fuRDe5TKsdV2Qpgfky5WKNVG3E570HlBvE2fUlKOBkrxE8j7CRAqEGwKpaSkpMQiFSwpKSmJ8z+AAhKjlqb21QAAAABJRU5ErkJggg==\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{f} : \\frac{E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right) \\sqrt{\\tau^{2}} - K \\dot{z} \\tau}{\\tau}\\right\\}$"
],
@@ -1112,7 +1126,7 @@
"⎩ \\tau âŽ"
]
},
- "execution_count": 26,
+ "execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
@@ -1137,7 +1151,7 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "slide"
@@ -1146,7 +1160,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{f} : \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau} - E_{b} \\lambda - K \\lambda\\right\\}$"
],
@@ -1158,7 +1172,7 @@
"⎩ \\tau âŽ"
]
},
- "execution_count": 27,
+ "execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
@@ -1181,7 +1195,7 @@
},
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1190,7 +1204,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau \\left(E_{b} + K\\right)}$"
],
@@ -1202,7 +1216,7 @@
" \\tauâ‹…(E_b + K) "
]
},
- "execution_count": 28,
+ "execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
@@ -1233,7 +1247,7 @@
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1242,7 +1256,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\frac{E_{b} \\dot{s}}{E_{b} + K}, \\ \\dot{z} : \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau \\left(E_{b} + K\\right)}\\right\\}$"
],
@@ -1254,7 +1268,7 @@
"⎩ E_b + K \\tauâ‹…(E_b + K) âŽ"
]
},
- "execution_count": 29,
+ "execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
@@ -1278,12 +1292,12 @@
},
{
"cell_type": "code",
- "execution_count": 30,
+ "execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\dot{\\tau} : \\frac{E_{b} K \\dot{s}}{E_{b} + K}\\right\\}$"
],
@@ -1293,7 +1307,7 @@
"⎩ E_b + K âŽ"
]
},
- "execution_count": 30,
+ "execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
@@ -1627,7 +1641,7 @@
},
{
"cell_type": "code",
- "execution_count": 33,
+ "execution_count": 20,
"metadata": {},
"outputs": [
{
@@ -1637,7 +1651,7 @@
" 1.76641039, 2.05694336, 2.31490712, 2.53621714, 2.71736924])"
]
},
- "execution_count": 33,
+ "execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
@@ -1653,30 +1667,16 @@
},
{
"cell_type": "code",
- "execution_count": 34,
+ "execution_count": 21,
"metadata": {},
"outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "4ce9295f06e742c890468b129c0e9ffb",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- },
{
"data": {
"text/plain": [
- "[<matplotlib.lines.Line2D at 0x7f4c3d69fee0>]"
+ "[<matplotlib.lines.Line2D at 0x7fee20a7bdf0>]"
]
},
- "execution_count": 34,
+ "execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
@@ -1710,7 +1710,7 @@
},
{
"cell_type": "code",
- "execution_count": 35,
+ "execution_count": 22,
"metadata": {
"scrolled": true,
"slideshow": {
@@ -1746,18 +1746,29 @@
},
{
"cell_type": "code",
- "execution_count": 36,
+ "execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "2ebcbcb77ee245a39b472cc87eb08e13",
+ "model_id": "2aa4074c7f1942a39944b8645b38ef0a",
"version_major": 2,
"version_minor": 0
},
+ "image/png": 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",
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+ " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+ " Figure\n",
+ " </div>\n",
+ " <img 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' width=1000.0/>\n",
+ " </div>\n",
+ " "
+ ],
"text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
]
},
"metadata": {},
@@ -1765,6 +1776,7 @@
}
],
"source": [
+ "%matplotlib widget\n",
"fig, (ax_t, ax_tau) = plt.subplots(1,2,figsize=(10,5))\n",
"fig.canvas.header_visible = False\n",
"ax_t.plot(t_arr, s_n1_arr,color='black'); ax_t.set_ylabel(r'$s = s_\\max \\theta(t)$'), ax_t.set_xlabel('$t$')\n",
@@ -1871,7 +1883,7 @@
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -1885,7 +1897,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.10"
+ "version": "3.9.0"
},
"toc": {
"base_numbering": 1,
diff --git a/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb b/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
index 95c36817ff538551b65d72ca4a5c151ead91341c..f19d856abc2c05b171d6133716456ef3b7438dff 100644
--- a/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
+++ b/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
@@ -134,7 +134,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "b685da8c49be4f8fbc15b9d36f9edabb",
+ "model_id": "0d185daa73fa4e6f8c227f7406fddfda",
"version_major": 2,
"version_minor": 0
},
@@ -166,13 +166,20 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 4,
"metadata": {},
"outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "xxxxx\n"
+ ]
+ },
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "c0500e76cc7748b1b1953833102698e9",
+ "model_id": "34857243edc54fe680b6fc142ea3effc",
"version_major": 2,
"version_minor": 0
},
@@ -185,13 +192,12 @@
}
],
"source": [
- "po_trc.loading_scenario = 'cyclic'\n",
- "po_trc.loading_scenario_.trait_set(number_of_cycles=2,\n",
+ "po_trc.loading_scenario.profile = 'cyclic-nonsym-const'\n",
+ "po_trc.loading_scenario.profile_.trait_set(number_of_cycles=2,\n",
" unloading_ratio=0.8,\n",
" number_of_increments=200,\n",
- " amplitude_type='constant',\n",
- " loading_range='non-symmetric');\n",
- "po_trc.loading_scenario_.interact()"
+ " );\n",
+ "po_trc.loading_scenario.interact()"
]
},
{
@@ -205,13 +211,20 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 5,
"metadata": {},
"outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "10fe2e84cd274cc5baa7b3d69b757625",
+ "model_id": "c5a1d36bcd8c45c78566e2c4e0c5abda",
"version_major": 2,
"version_minor": 0
},
@@ -255,7 +268,7 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
@@ -295,13 +308,13 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "c99b02c3148a4abb94cc07a68078ad18",
+ "model_id": "bac2295e25b244d4adf0ac01cea34083",
"version_major": 2,
"version_minor": 0
},
@@ -361,13 +374,20 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 16,
"metadata": {},
"outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "e4fbee9827424bf7bbe9dc2d6da695a6",
+ "model_id": "717e68a2e6774d2f96acdec9dbc5d997",
"version_major": 2,
"version_minor": 0
},
@@ -380,12 +400,19 @@
}
],
"source": [
- "pm.loading_scenario = 'cyclic'\n",
- "pm.loading_scenario_.trait_set(number_of_cycles=4,\n",
+ "pm.loading_scenario.profile = 'cyclic-sym-incr'\n",
+ "pm.loading_scenario.profile_.trait_set(number_of_cycles=2,\n",
" unloading_ratio=0.5,\n",
- " number_of_increments=200,\n",
- " amplitude_type='increasing',\n",
- " loading_range='symmetric')\n",
+ " number_of_increments=200,\n",
+ " );\n",
+ "\n",
+ "# pm.loading_scenario = 'cyclic'\n",
+ "# pm.loading_scenario_.trait_set(number_of_cycles=4,\n",
+ "# unloading_ratio=0.5,\n",
+ "# number_of_increments=200,\n",
+ "# amplitude_type='increasing',\n",
+ "# loading_range='symmetric')\n",
+ "pm.reset()\n",
"pm.run()\n",
"pm.interact()"
]
@@ -396,7 +423,7 @@
"source": [
"## Discussion of the study\n",
"\n",
- " - By checking the `history` showing the field variables along the bond zone, we can observe the the alternating tension and compression profiles in the reinforcement and in the matrix.\n",
+ " - By checking the `history` showing the field variables along the bond zone, we can observe the alternating tension and compression profiles in the reinforcement and in the matrix.\n",
" - The shear transfer is again taking place only on a short length due to the softening nature of the bond behavior.\n",
" - The yielding of the bond within the process zone occurs both under pullout and under push-in load as apparent from the existence of the hysteretic loop.\n",
" - In contrast to the [study of TRC test](#trc_results), the unloading stiffness does not correspond to the initial stiffness. This question is discussed in a more detail below. "
@@ -461,7 +488,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -475,7 +502,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.10"
+ "version": "3.9.0"
},
"toc": {
"base_numbering": 1,
diff --git a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
index a6757d43ca9a07df0a4d71b26a19b609552efef4..218108b416ef3b46c5a40e0bcd9979677a888cd8 100644
--- a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
+++ b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
@@ -257,7 +257,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -341,7 +341,7 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 2,
"metadata": {},
"outputs": [
{
@@ -350,10 +350,10 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa - \\kappa_{0}}{- \\kappa_{0} + \\kappa_{u}} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\1 & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.LinearDamageFn at 0x7f7a32753b30>"
+ "<ibvpy.tmodel.mats_damage_fn.LinearDamageFn at 0x7fd5c9d13c70>"
]
},
- "execution_count": 3,
+ "execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
@@ -373,13 +373,13 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "0cb5fdb9c48a4585a4a16aecc5baabdb",
+ "model_id": "50a1b73f5e4c4edb94a7f43acbec8adc",
"version_major": 2,
"version_minor": 0
},
@@ -406,13 +406,13 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "2808693547334520ae3f6afc0ef77d9f",
+ "model_id": "09cfc9fabcc4473aa9bbe0f1ec310e0e",
"version_major": 2,
"version_minor": 0
},
@@ -517,7 +517,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 5,
"metadata": {},
"outputs": [
{
@@ -526,10 +526,10 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa < 0 \\\\1 - e^{- \\left(\\frac{\\kappa}{\\lambda}\\right)^{m}} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.WeibullDamageFn at 0x7f7a20ad1040>"
+ "<ibvpy.tmodel.mats_damage_fn.WeibullDamageFn at 0x7fd5c1ae0770>"
]
},
- "execution_count": 6,
+ "execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
@@ -550,13 +550,13 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "3b8f365709c0405aa192a29b97593e08",
+ "model_id": "b8d561e842b34188af1226931dd84b6a",
"version_major": 2,
"version_minor": 0
},
@@ -581,13 +581,13 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "9b0bcd5dcc6647f6845d21f1718fb1df",
+ "model_id": "7faea831f58740749012c04c84b5958b",
"version_major": 2,
"version_minor": 0
},
@@ -668,12 +668,12 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": "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",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle 1 - e^{- \\kappa}$"
],
@@ -682,7 +682,7 @@
"1 - ℯ "
]
},
- "execution_count": 9,
+ "execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
@@ -703,7 +703,7 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": 9,
"metadata": {
"hide_input": true,
"slideshow": {
@@ -753,7 +753,7 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": 10,
"metadata": {},
"outputs": [
{
@@ -762,10 +762,10 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\frac{\\kappa_{0} e^{\\frac{- \\kappa + \\kappa_{0}}{- \\kappa_{0} + \\kappa_\\mathrm{f}}}}{\\kappa} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7f7a326a8130>"
+ "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7fd5c1ae0310>"
]
},
- "execution_count": 11,
+ "execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
@@ -778,13 +778,13 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "60a98a2ec5bd421f9ce20dfa1253ee38",
+ "model_id": "9571331bb1d6472a934fb98ee1bbc718",
"version_major": 2,
"version_minor": 0
},
@@ -845,19 +845,19 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
- "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa_{0} \\left(1 - \\frac{1 - e^{- \\frac{\\alpha \\left(\\kappa - \\kappa_{0}\\right)}{- \\kappa_{0} + \\kappa_{u}}}}{1 - e^{- \\alpha}}\\right)}{\\kappa} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\0 & \\text{otherwise} \\end{cases} & \\text{otherwise} \\end{cases}$"
+ "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa_{0} \\cdot \\left(1 - \\frac{1 - e^{- \\frac{\\alpha \\left(\\kappa - \\kappa_{0}\\right)}{- \\kappa_{0} + \\kappa_{u}}}}{1 - e^{- \\alpha}}\\right)}{\\kappa} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\0 & \\text{otherwise} \\end{cases} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7f7a206ec360>"
+ "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7fd5c1ae0040>"
]
},
- "execution_count": 13,
+ "execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
@@ -870,13 +870,13 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "3615c46c950e4e5491b99d17afc60a42",
+ "model_id": "846c793c8791432d822fde2aa1653aea",
"version_major": 2,
"version_minor": 0
},
@@ -920,19 +920,19 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
- "$\\displaystyle 1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\e^{\\frac{\\left(\\kappa - \\kappa_{0}\\right) \\left(\\sqrt{E_{b}} \\sqrt{- E_{b} \\kappa_{0}^{2} + 4 G_{f}} + E_{b} \\kappa_{0}\\right)}{E_{b} \\kappa_{0}^{2} - 2 G_{f}}} & \\text{otherwise} \\end{cases}$"
+ "$\\displaystyle 1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\e^{- \\frac{\\left(\\kappa - \\kappa_{0}\\right) \\left(\\sqrt{E_{b}} \\sqrt{- E_{b} \\kappa_{0}^{2} + 4 G_{f}} - E_{b} \\kappa_{0}\\right)}{E_{b} \\kappa_{0}^{2} - 2 G_{f}}} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7f7a2084a090>"
+ "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7fd5c1579040>"
]
},
- "execution_count": 15,
+ "execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
@@ -952,13 +952,13 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "af5c5ba340aa4cdd85a1c9aa0d356e5f",
+ "model_id": "96bd42326f1242d3aaf0cf6523e8fa70",
"version_major": 2,
"version_minor": 0
},
@@ -1075,7 +1075,7 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1084,7 +1084,7 @@
"outputs": [
{
"data": {
- "image/png": "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",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\sqrt{s_{x}^{2} + s_{y}^{2}}$"
],
@@ -1094,7 +1094,7 @@
"╲╱ sₓ + s_y "
]
},
- "execution_count": 17,
+ "execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
@@ -1114,15 +1114,42 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 19,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "da63e0f779254450955d4b4aebe44843",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "image/png": 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+ " </div>\n",
+ " <img 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' width=400.0/>\n",
+ " </div>\n",
+ " "
+ ],
+ "text/plain": [
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
+ "%matplotlib widget\n",
"get_kappa = sp.lambdify( (s_x, s_y), kappa_, 'numpy' )\n",
"phi = np.linspace(0, 2*np.pi, 500)\n",
"sx, sy = np.sin(phi), np.cos(phi)\n",
@@ -1250,7 +1277,7 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 20,
"metadata": {
"hide_input": false,
"slideshow": {
@@ -1261,7 +1288,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "a06f38fda3784ad4a5ab7912d79b906a",
+ "model_id": "8e69a6ee61a64f0da00b7a995a1c353a",
"version_major": 2,
"version_minor": 0
},
@@ -1404,7 +1431,7 @@
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},