resolves 150: support jupyter notebook in examples

examples/modules/csm/examples/pendulum2D/pendulum2D.json

@@ -7,7 +7,7 @@
   {
       "version": "1",
       "author": ["vincentchabannes","prudhomm","lberti","jobinhio"],
-      "date": "23/09/2022",
+      "date": "30/11/2022",
       "references":[""]
   },
   "Models":
@@ -76,7 +76,19 @@
       },
       "Measures":
       {
-        "VolumeVariation":""
+          "VolumeVariation":"",
+          "Statistics":
+          {
+              "disp":
+              {
+                  "type":["min","max","mean"],
+                  "field":"displacement"
+              },
+              "von-mises": {
+                  "type": ["min","max","mean"],
+                  "expr": "sqrt(0.5*((solid_stress_P_00-solid_stress_P_11)^2+(solid_stress_P_11-solid_stress_P_22)^2+(solid_stress_P_22-solid_stress_P_11)^2+6*(solid_stress_P_12^2+solid_stress_P_23^2+solid_stress_P_31^2))):solid_stress_P_00:solid_stress_P_11:solid_stress_P_22:solid_stress_P_12:solid_stress_P_23:solid_stress_P_31"
+              }
+          }         
       }
     }
   } 

examples/modules/csm/examples/pendulum3D/pendulum3D.json

@@ -5,7 +5,7 @@
     {
         "version": "1",
         "author": ["vincentchabannes","prudhomm","lberti","jobinhio"],
-        "date": "23/09/2022",
+        "date": "30/11/2022",
         "references":[""]
     },
     "Models":
@@ -72,7 +72,19 @@
             },
             "Measures":
             {
-            "VolumeVariation":""            
+                "VolumeVariation":"",
+                "Statistics":
+                {
+                    "disp":
+                    {
+                        "type":["min","max","mean"],
+                        "field":"displacement"
+                    },
+                    "von-mises": {
+                        "type": ["min","max","mean"],
+                        "expr": "sqrt(0.5*((solid_stress_P_00-solid_stress_P_11)^2+(solid_stress_P_11-solid_stress_P_22)^2+(solid_stress_P_22-solid_stress_P_11)^2+6*(solid_stress_P_12^2+solid_stress_P_23^2+solid_stress_P_31^2))):solid_stress_P_00:solid_stress_P_11:solid_stress_P_22:solid_stress_P_12:solid_stress_P_23:solid_stress_P_31"
+                    }
+                }         
             }
         }
     }

examples/modules/csm/examples/spring/spring.json

@@ -6,7 +6,7 @@
   {
       "version": "1",
       "author": ["vincentchabannes","prudhomm","lberti","jobinhio"],
-      "date": "23/09/2022",
+      "date": "30/11/2022",
       "references":[""]
   },
   "Models":
@@ -77,6 +77,22 @@
       "Exports":
       {
         "fields":["displacement","pressure","pid","von-mises-criterion"]
+      },
+      "Measures":
+      {
+        "Statistics":
+        {
+          "disp":
+          {
+            "type":["min","max","mean"],
+            "field":"displacement"
+          },
+          "von-mises": 
+          {
+            "type": ["min","max","mean"],
+            "expr": "sqrt(0.5*((solid_stress_P_00-solid_stress_P_11)^2+(solid_stress_P_11-solid_stress_P_22)^2+(solid_stress_P_22-solid_stress_P_11)^2+6*(solid_stress_P_12^2+solid_stress_P_23^2+solid_stress_P_31^2))):solid_stress_P_00:solid_stress_P_11:solid_stress_P_22:solid_stress_P_12:solid_stress_P_23:solid_stress_P_31"
+          }
+        }         
       }
     }
   }

examples/modules/csm/examples/suspension/suspension.json

@@ -6,7 +6,7 @@
     {
         "version": "1",
         "author": ["vincentchabannes","prudhomm","lberti","jobinhio"],
-        "date": "23/09/2022",
+        "date": "30/11/2022",
         "references":[""]
     },
     "Models":
@@ -78,7 +78,22 @@
         {
             "Exports":
             {
-                "fields":["displacement"]
+                "fields":["displacement","pid","von-mises-criterion"]
+            },
+            "Measures":
+            {
+                "Statistics":
+                {
+                    "disp":
+                    {
+                        "type":["min","max","mean"],
+                        "field":"displacement"
+                    },
+                    "von-mises": {
+                        "type": ["min","max","mean"],
+                        "expr": "sqrt(0.5*((solid_stress_P_00-solid_stress_P_11)^2+(solid_stress_P_11-solid_stress_P_22)^2+(solid_stress_P_22-solid_stress_P_11)^2+6*(solid_stress_P_12^2+solid_stress_P_23^2+solid_stress_P_31^2))):solid_stress_P_00:solid_stress_P_11:solid_stress_P_22:solid_stress_P_12:solid_stress_P_23:solid_stress_P_31"
+                    }
+                }
             }
         }
     }

examples/modules/csm/examples/vierendeel-truss/Plate.json

@@ -5,7 +5,7 @@
     {
         "version": "1",
         "author": ["vincentchabannes","prudhomm","lberti","jobinhio"],
-        "date": "23/09/2022",
+        "date": "30/11/2022",
         "references":[""]
     },
     "Models":
@@ -65,6 +65,22 @@
             "Exports":
             {
                 "fields":["displacement","von-mises-criterion","tresca-criterion","principal-stresses"]
+            },
+            "Measures":
+            {
+              "Statistics":
+              {
+                "disp":
+                {
+                  "type":["min","max","mean"],
+                  "field":"displacement"
+                },
+                "von-mises": 
+                {
+                  "type": ["min","max","mean"],
+                  "expr": "sqrt(0.5*((solid_stress_P_00-solid_stress_P_11)^2+(solid_stress_P_11-solid_stress_P_22)^2+(solid_stress_P_22-solid_stress_P_11)^2+6*(solid_stress_P_12^2+solid_stress_P_23^2+solid_stress_P_31^2))):solid_stress_P_00:solid_stress_P_11:solid_stress_P_22:solid_stress_P_12:solid_stress_P_23:solid_stress_P_31"
+                }
+              }         
             }
         }
 	// TODO : Currently doesn't work

examples/modules/csm/pages/pendulum2D/index.adoc

@@ -25,6 +25,32 @@ mpirun -np 4 feelpp_toolbox_solid --case "github:{repo:toolbox,path:examples/mod
 
 NOTE: The report of the execution of the command above is available xref:pendulum2D/solid-information.adoc[here].
 
+=== Python interface
+We start with the {feelpp} environment.
+
+[source,python]
+----
+from feelpp import *
+from feelpp.toolboxes.core import *
+from feelpp.toolboxes.solid import *
+
+# create the application
+# create a feelppdb subdirectory where the results are stored
+app = Environment(['feelpp_toolbox_solid'], opts= toolboxes_options("solid"),config=localRepository(""))
+----
+
+Next we download the study configuration and simulate it
+
+[source,python]
+----
+pendulum2Dcfg=feelpp.download("github:{repo:toolbox,path:examples/modules/csm/examples/pendulum2D/}", worldComm=app.worldCommPtr())[0] 
+pendulum2Dcfg+='/pendulum2D.cfg' 
+
+if os.path.exists(pendulum2Dcfg): 
+  app.setConfigFile(pendulum2Dcfg) 
+  s = solid(dim=2) 
+----
+
 == Data files
 
 The case data files are available in Github link:{uri-data}/pendulum/[here]
@@ -106,6 +132,82 @@ The pid helps to see how the mesh was partitioned for parallel processing.
 include::example$pendulum2D/pendulum2D.json[tags=exports]
 ----
 
+[source,python]
+----
+import pandas as pd
+df=pd.DataFrame(meas)
+print(df.head())
+
+# prepare for plotting
+import plotly.graph_objects as go
+----
+
+[%collapsible.result]
+.Results
+====
+----
+Paraview files are in /scratch/jupyter/feelppdb/np_1/np_1/solid.exports
+   Statistics_disp_max  Statistics_disp_mean_0  Statistics_disp_mean_1  \
+0         0.000000e+00                0.000000                0.000000   
+1        -3.329553e-07               -0.000003               -0.000242   
+2        -4.652734e-06               -0.000022               -0.001200   
+3         1.084905e-05               -0.000097               -0.003076   
+4         6.733757e-05               -0.000294               -0.005797   
+
+   Statistics_disp_min  Statistics_von-mises_max  Statistics_von-mises_mean  \
+0             0.000000              0.000000e+00                   0.000000   
+1            -0.000245              8.511694e+04                 735.543752   
+2            -0.001221              3.746634e+05                4510.381468   
+3            -0.003151              8.814162e+05               13740.732376   
+4            -0.005967              1.580571e+06               28332.568714   
+
+   Statistics_von-mises_min  time  
+0                  0.000000  0.00  
+1                  0.552184  0.01  
+2                  3.061166  0.02  
+3                 17.603125  0.03  
+4                 92.414719  0.04
+----
+====
+
+=== Displacement
+
+.Plot the max of the displacement over time
+[source,python]
+----
+fig = go.Figure()
+fig.add_trace(go.Scatter(x=df["time"], y=df["Statistics_disp_max"], name="max disp"))
+fig.add_trace(go.Scatter(x=df["time"], y=df["Statistics_disp_min"], name="min disp"))
+fig.update_layout(legend_title_text='Max displacement over time')
+fig.show()
+----
+
+[%collapsible.result]
+.Results
+====
+image:{imagesprefix}pendulum/minmaxdisp.png[]
+====
+
+=== Von-Mises Criterions
+
+
+.Plot the max of the von-mises criterion over time
+[source,python]
+----
+fig = go.Figure()
+fig.add_trace(go.Scatter(x=df["time"], y=df["Statistics_von-mises_max"],name="max")) 
+fig.add_trace(go.Scatter(x=df["time"], y=df["Statistics_von-mises_min"],name="min"))
+fig.add_trace(go.Scatter(x=df["time"], y=df["Statistics_von-mises_mean"],name="mean"))
+fig.update_layout(legend_title_text='Von-Mises min,mean and max over time')
+fig.show()
+----
+
+[%collapsible.result]
+.Results
+====
+image:{imagesprefix}pendulum/minmaxvonmises.png[]
+====
+
 === Video
 
 The video below shows the oscillating motion of the pendulum.