Determining elastic behavior of composites by the boundary element method

@article{Eischen1993DeterminingEB,
  title={Determining elastic behavior of composites by the boundary element method},
  author={Jeffrey W. Eischen and Salvatore Torquato},
  journal={Journal of Applied Physics},
  year={1993},
  volume={74},
  pages={159-170}
}
The boundary element method is applied to determine the effective elastic moduli of continuum models of composite materials. In this paper, we specialize to the idealized model of hexagonal arrays of infinitely long, aligned cylinders in a matrix (a model of a fiber‐reinforced material) or a thin‐plate composite consisting of hexagonal arrays of disks in a matrix. Thus, one need only consider two‐dimensional elasticity, i.e., either plane‐strain or plane‐stress elasticity. This paper examines a… 
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