Análise elastoplástica de meios bidimensionais com microestrutura porosa

Abstract

Advances in technology allowed the development of a new generation of advanced composite materials designed to meet particular requirements created by modern industry. In recent years, there has been a great effort to understand and describe the behavior of periodic or statistically homogeneous composite and porous materials through various computer simulation techniques. Regarding mechanical behavior evaluation, it can be mentioned the challenge of relating the performance and accuracy of the numerical technique and the computational cost of the analysis. The present work evaluates the elastoplastic mechanical behavior of two-dimensional media with periodic porous microstructure using the Transformation Field Analysis (TFA) approach as an alternative to FEM and assesses its cost-effectiveness. A finite element computational environment is implemented, integrated with the formulation mentioned above, and an evaluation of its accuracy and computational time is carried out. The analyzes take into account the micromechanics of the material, obtaining the effective constitutive parameters of the periodic heterogeneous material and average stresses and strains in the finite elements that compose the mesh of the discretized domain of analysis. For this purpose, we assessed the Strain Concentration and Influence Tensors, which are necessary for applying the TFA. Next, a study is conducted on the plastic surfaces of two-dimensional media with periodic porous microstructure, considering different geometries and arrangements for the holes. Thus, it was possible to observe interesting scenarios for applying the technique and its performance in obtaining local plastic strain fields. In addition, it can also be seen that there was a significant gain in the processing time needed to generate plastic surfaces compared to conventional analysis using the finite element method.