Fast BEM multidomain approach for short fiber composites
René Quispe Rodriguez1; Paulo Sollero1; Choon-Lai Tan2; Éder Lima Albuquerque3
1 Universidade Estadual de Campinas; 2 Department of Mechanical and Aerospace Engineering, Carleton University; 3 Faculty of Technology, University of Brasilia
doi:10.20906/CPS/CILAMCE2015-0887
Resumo
Composite materials are usually treated as homogeneous when carrying out structural design. However, failure in these materials often originated at their heterogeneous microstructure or consituents; hence, the different materials should be considered in the analysis. The use of composite materials has increased considerably over the years due to their relative superior properties. The accurate determination of their mechanical properties and behavior is thus of great practical significance. The Boundary Element Method (BEM) has demonstrated to be a powerful computational technique for the analysis of many physical and engineering problems. The present work deals with the use of the multi-domain BEM to obtain a more appropriate characterization of fiber-matrix composites. The generally anisotropic fundamental solution based on a double-Fourier series is employed together with a fast BEM approach, namely, the Adaptive Cross Approximation (ACA) technique. The ACA technique is aimed at speeding up the process required to generate the BEM matrices. Some numerical examples are presented to demonstrate its applicability. The present work is a precursor to treating more complex problems involving anisotropic inclusions in general composites.
Palavras-chave: Multi-scale; Failure Analysis; Boundary Element Method; Finite Element Method