Eventos Anais de eventos
ENEBI 2018
6º Encontro Nacional de Engenharia Biomecânica
Effective Moduli of 3-1 Longitudinally Porous Solids With Regular Hexagonal Array
Submission Author:
Adair Aguiar , SP , Brazil
Co-Authors:
Adair Aguiar, Edmar Borges Theóphilo Prado, Uziel Paulo da Silva
Presenter: Adair Aguiar
doi://10.26678/ABCM.ENEBI2018.EEB18-0062
Abstract
Determining the effective properties of nonhomogeneous solids using analytical methods is generally based on the assumption that these solids have infinite dimensions. In laboratory experiments, however, samples have finite dimensions. Here, we are interested in verifying whether the analytical expressions provide accurate values for the constants measured in laboratory. We use the Asymptotic Homogenization Method (AHM) to determine the shear effective constant of an elastic solid of infinite dimensions containing a uniform and periodic distribution of circular cylindrical holes. We also use the Finite Element Method (FEM) to determine this constant in the case of a finite sample containing the same uniform distribution of cylindrical holes. Both solids have the same elastic properties and are subjected to similar anti-plane shear experiments. We show a table with effective constants calculated for different void area fractions that allow verifying the good agreement between the values obtained through AHM, FEM, and a computational poroelastic model of Haversian bone found in the literature.
Keywords
Linear Elasticity, Asymptotic homogenization method, Finite Element Method, Effective properties, Cortical Bone
