Imp_001 Usage of the implicit solver

 

The present case aims to demonstrate data set up and usage of the implicit solver for the geomechanical field. To that end a benchmark with known analytical solution will be solved. The problem is described in de Souza-Neto et al. (2008). It consists on a long non-porous metallic thick-walled cylinder subjected to an internal pressure. The response of the cylinder is characterised by elasticity and von Mises plasticity yield criteria. The geometry, mesh and boundary conditions are shown in the picture below. The cylinder geometry is defined using quarter symmetry with the internal and external radius being 100 mm and 200 mm respectively and considering a section 10 mm thick. The model is discretized in 400 hexahedral elements. Plane strain conditions are assumed. The cylinder response is modelled via non-porous elasto-plastic material with von Mises plasticity with no hardening. The Young's modulus is set to 210 GPa, Poisson's ratio to 0.3 and von Mises yield strength to 240 MPa.

 

 

 

Imp_001_Case01_01

Geometry, mesh and boundary conditions for the thick-walled cylinder model

 

 

 

 

References

 

Eduardo A. de Souza Neto, Djordje Peric and David R. J. Owen. Computational methods for plasticity: Theory and aplications. (Wiley, Chichester, 2008), pp. 244-247