Algoritmo de integración para materiales no lineales considerando los efectos de viscoplasticidad, endurecimiento cinemático no lineal y daño

Abstract

In the Finite Element Method (FEM) material non-linearities are considered through incremental formulations in terms of a pseudo-time variable for the case of rate independent models and a real time variable in the case of rate-dependent models. The incremental statement of the problem implies that the constitutive models need to be time-integrated at the local level. In this article we discuss a standard algorithm available in the literature where additionally we have incorporated the effects of non-linear kinematic hardening, viscoplasticity, and damage. The algorithm is incorporated into a FEM code. In order to verify the correctness of our implementation we have particularized the model to the case of a creep law available from literature for solder alloys. Numerical simulation results are compared with experiments taken from the literature.