The torus-wrap mapping for dense matrix calculations on massively parallel computers
SIAM Journal on Scientific Computing
Parallel programming with MPI
Continuum micromechanics
Parallel programming in OpenMP
Parallel programming in OpenMP
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Advances in Engineering Software
An Introduction to Parallel and Vector Scientific Computation (Cambridge Texts in Applied Mathematics)
A natural stress boundary integral equation for calculating the near boundary stress field
Computers and Structures
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A standard continuum-mechanics-based 3D boundary-element (BE) algorithm has been devised to the microstructural modeling of complex heterogeneous solids such as general composites. In the particular applications of this paper, the mechanical properties of carbon-nanotube-reinforced composites are estimated from three-dimensional representative volume elements (RVEs). The shell-like thin-walled carbon nanotubes (CNTs) are also simulated with 3D BE models, and a generic subregion-by-subregion (SBS) algorithm makes the microstructural description of the CNT-polymer systems possible. In fact, based on this algorithm, a general scalable BE parallel code is proposed. Square and hexagonal fiber-packing patterns are considered to simulate the 3D composite microstructures.