@article{WANG2007, 
author = {Haitao WANG and Zhenhan YAO},
title = {Large Scale Analysis of Mechanical Properties in 3-D Fiber-Reinforced Composites Using a New Fast Multipole Boundary Element Method},
year = {2007},
journal = {Tsinghua Science and Technology},
volume = {12},
number = {5},
pages = {554-561},
keywords = {fiber-reinforced composites, boundary element, fast multipole, mechanical properties},
url = {https://www.sciopen.com/article/10.1016/S1007-0214(07)70132-3},
doi = {10.1016/S1007-0214(07)70132-3},
abstract = {Fiber-reinforced composites are commonly used in various engineering applications. The mechanical properties of such composites depend strongly on micro-structural parameters. This paper presents a new boundary element method (BEM) for numerical analysis of the mechanical properties of 3-D fiber-reinforced composites. Acceleration of the BEM is achieved by means of a fast multipole method (FMM), in allowing large scale simulations of a finite elastic domain containing up to 100 elastic fibers to be performed on one personal computer. The maximum number of degrees of freedom can reach a value of over 250000. The effects of several key micro-structural parameters on the local stress fields and on the effective elastic moduli of fiber-reinforced composites are evaluated. The numerical results are compared with analytical predictions and good agreement is observed. The results show that the fast multipole BEM could be a promising tool for further understanding of the mechanical behavior of such composites.}
}