Comparative analysis in the homogenization process of heterogeneous materials using mechanics of structure genome

Resumo

Concerning the mechanical properties studies of heterogeneous materials, its behaviours are obtained by
ideal models. With the aim of simplify this modelling process, in other words, formulate an homogeneous model
which represents the heterogeneous material (process called homogenization), as the microscopic analyses of stress
and strain (process called dehomogenization), the so called Mechanics of Structure Genome method (MSG) was
developed. The MSG method proposes to model a representation of a smallest particle possible that could describe
the behaviour and geometry of the heterogeneous material, showing its microscopic behaviour. The method is
named as so from its similarity with the gene concept in biology, standing for organic microparticles that contains
all the information of a live cell. To observe the capacity and reliability of MSG compared to methods already in
use among researchers and industry, this work models a stiffness matrix of an heterogeneous material, composed
by a matrix of titanium and silicon carbide (SiC) fibres using SwiftComp software, available on cloud, Android and
iOS, exposing the substantial reduction in computer effort and time compared to existing methods, and compares
the results to the respective matrix for the same material obtained by the Zheng and Fish method, Self-Consistent
Method (SCM) and Mori-Tanaka Method (MTM), discussing in the end the reliability and usage in the industry
and academy of the exposed method.