Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Effective fourth-order elasticity tensor of periodic porous materials by a 3D computational homogenization procedure
Submission Author:
Wanderson Ferreira dos Santos , GO , Brazil
Co-Authors:
Wanderson Ferreira dos Santos, Sergio Persival Proenca
Presenter: Wanderson Ferreira dos Santos
doi://10.26678/ABCM.COBEM2023.COB2023-0110
Abstract
The evaluation of effective macroscopic constitutive behavior can be of particular interest in applications for non-homogeneous materials. In this context, this work addresses a framework based on the computational homogenization procedure implemented in ANSYS® Mechanical, Release 18.0 to predict the fourth-order elasticity tensor of periodic porous media. The process to impose the periodic boundary condition considering three-dimensional (3D) analysis is detailed. Periodic materials with unidirectional voids of circular cross-section are modeled with the concept of Representative Volume Element (RVE). Numerical simulations based on the Finite Element Method (FEM) are used to solve the Boundary Value Problem (BVP) for the RVE. An extrapolation strategy is explored to obtain the final results of the effective elastic constitutive tensor from the numerical results of the computational homogenization procedure. The results of this study are compared to analytical and numerical works reported in the literature. In summary, the computational approach provides responses in close agreement with the compared works.
Keywords
periodic porous materials, effective fourth-order elasticity tensor, computational homogenization, Finite Elements, extrapolation strategy
