Finite Element Homogenization of periodic material based on an extended Rosette Gage Theory

L. PEREZ; M. KOLENDO; S. OLLER; S. LASCANO; C. AGUILAR

Congreso; 14th Pan-American Congress of Applied Mechanics - PACAM XIV; 2013

A long-known research area is the theoretical consideration of strengths behavior for material consisting of a highly complex micro-structure due to irregular forms and shape distributions or a composition of different materials.The fundamental theory underlying these research work is the homogenization theory. Common analytical and micro-mechanical homogenization techniques are mathematically complex and mainly constructed only for special statements of the problem. Numerical approaches require the consideration of particular boundary conditions and the examination of a so called representative volume element (RVE). Present work aims at an alternative strategy where the evaluation of homogenized strength parameters can be obtained through simple strain and stress measuring in an extended strain rosette. Foundation hereby is the application of constitutive equations from the strain transformation and rosette gage theory on measured values obtained through a 2D static structural FEM simulation of a Representative Material Section (RMS) of the considered inhomogeneous material. The major advantage of the present technique is both, the reduction of computational time compared to the full model and compared to other homogenization methods, the low modeling effort. To verify the method it will be shown that the homogenized Young?s modulus and homogenized Poisson?s ratio of a carbon/epoxy composite structure obtained by the new homogenization method points out good match with a well established Finite Element Multiscale Homogenization method.