MESHLESS FINITE POINT METHOD IN ELASTOPLASTICITY

F. PERAZZO; L. PEREZ; S. OLLER

Conferencia; III European Conference on Computational Mechanics - Solids, Structures and Coupled in Engineering ECCM-2006,; 2006

The constitutive equation for classical rate-independent elastoplasticity are formulates using the meshless Finite Point Method (FPM), which uses a weighted least-squares fit and point collocation procedures.In the context of meshfree method the FPM is a truly meshless because no mesh generation and no integration are needed. On the other hand FPM has been using in classic linear elasticity showing good results respect existing analytical and numerical method, so the natural next step is to extend the application towards the elastic-plastic field.In this approach material behaviour is modelled by a nonlinear relation between stress and strain, special J2 flow theory and using a iterative solver for each load step.In order to verify the validity of the propose methodology the results obtained has been compared with other similar works in the literature.