Modelagem numérica de problemas elastoplásticos e viscoplásticos através de métodos sem malha

Abstract

This work deals with the numerical solution of two-dimensional elastoplastic and viscoplastic problems by means of the weak formulation for local meshless methods. The Plasticity phenomenon is formulated by associative flow laws with isotropic and kinematic hardening whereas viscoplastic materials are modelled by the Perzyna and Bailey-Norton creep laws. The plastic correction is performed by means of the Cutting Plane and Closest Point Projection Algorithms. For the study of meshless methods, a comparative analysis of two variants of the Petrov-Galerkin Method is presented with the application of the Stabilized Moving Least Squares, diffuse derivatives and different numerical integration techniques. The most of studied problems is compared with classical numerical methods, due to absence of the analytical solutions, in order to assess the performance and stability.