A two dimensional VCFEM formulated with plastic, creep and thermal strain for simulate fatigue of porous material

Abstract

In this paper, a two-dimensional Voronoi cell finite element model is developed for analyzing homogeneous materials containing dispersed voids in the matrix. The complementary energy functional, formulated with plastic, creep and thermal strain, is applied for the numerical simulation of fatigue behavior of porous materials under different conditions. The paper starts with a description of 2D porous material. To complete the computation of nonlinear strain, the constitutive relation of material in the complementary energy functional is changed. In order to verify the validity and accuracy of the model, the result of simulations is compared with the counterpart of the normal displacement finite element program ABAQUS. The comparison results suggest that the VCFEM, with the same accuracy, have the advantages of simple meshing, faster computation. In the numerical simulation, the model is applied for simulating low-cycle fatigue, variable temperature low cycle fatigue and thermo-mechanical fatigue, at the same time, the influence of porosity is also discussed.