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3 - Direct Numerical Simulation of Materials Using Computational Grains

Published online by Cambridge University Press:  05 October 2023

Leiting Dong  and
Satya N. Atluri
Leiting Dong
Affiliation:
Beihang University, China
Satya N. Atluri
Affiliation:
University of California, Irvine
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Summary

This chapter discusses some general algorithms which are useful in the computational homogenization using the Computational Grains (CGs) method. First, an algorithm for generating a statistically equivalent representative volume element (SERVE) is presented. Then, an algorithm to divide the SERVE in to Voronoi cells (polygons in 2D and polyhedrons in 3D), and using a CG in each Voronoi cell is discussed. The role of parallel computation is also discussed.

Keywords

statistically equivalent representative volume elementstatistical characteristicsrapid generation algorithmVoronoi cellsComputational Grainsparallel algorithm
Type
Chapter
Information
Computational Grains
Micromechanical Genome for Heterogeneous Materials
 , pp. 27 - 44
Publisher: Cambridge University Press
Print publication year: 2023

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References

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