Elastoplastic Notched Plate
Overview
The aim of this test case is to validate the following functions:
- Plastic material behaviour
- Reduced integration element type
The simulation results of SimScale were compared to the results presented in [SSNP123]. The mesh used in (A) and (C) was created with the automatic-tetrahedralization-tool on the SimScale platform. The mesh used in (B) und (D) was created locally.
Import validation project into workspace
Geometry
| A | B | C | D | E | F | |
|---|---|---|---|---|---|---|
| x [m] | 0 | 0.004 | 0.005 | 0.005 | 0 | 0 |
| y [m] | 0 | 0 | 0.001 | 0.005 | 0.005 | 0.001 |
The corresponding nodes marked with a dash (‘) are translated 0.0001 m along the negative z-direction.
Analysis type and Domain
Tool Type : Code_Aster
Analysis Type : Static Anaylsis
Mesh and Element types :
| Case | Mesh type | Number of nodes | Element type |
|---|---|---|---|
| (A) | quadratic tetrahedral | 35503 | 3D isoparametric |
| (B) | quadratic hexahedral | 5508 | 3D isoparametric |
| (C) | quadratic tetrahedral | 35503 | 3D under integrated |
| (D) | quadratic hexahedral | 5508 | 3D under integrated |
Simulation Setup
Material:
- isotropic: E = 200 GPa,ν = 0.3, \(\sigma_{y}\)= 200 MPa, ET = 1000 MPa
Constraints:
- Face AA’EE’: zero x-displacement
- Face AA’BB’: zero y-displacement
- z-displacement is fixed for all nodes
- Face DD’EE’: displacement of 0.0001 m in y-direction
Results
Comparison of the cauchy stress \(\sigma_{yy}\) along path FC. The values of the reference [SSNP123] in all figures were extracted with WebPlotDigitizer.
References
| [SSNP123] | (1, 2) SSNP123 – Plaque entaillée en élastoplasticité : test des éléments QUAD4 sous intégrés |