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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

Tschopp, M., 3-D Synthetic Microstructure Generation with Ellipsoid Particles. Maryland: US Army Research Laboratory,2016.Google Scholar
Rycroft, C. H., “VORO++: A Three-Dimensional Voronoi Cell Library in C++,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 19, no. 4, p. 041111, 2009, https://doi.org/10.1063/1.3215722.CrossRefGoogle ScholarPubMed
Yang, S., Tewari, A., and Gokhale, A. M., “Modeling of Non-Uniform Spatial Arrangement of Fibers in a Ceramic Matrix Composite,” Acta Materialia, vol. 45, no. 7, pp. 3059–3069, 1997, https://doi.org/10.1016/S1359-6454(96)00394-1.CrossRefGoogle Scholar
Vaughan, T. J. and McCarthy, C. T., “A Combined Experimental–Numerical Approach for Generating Statistically Equivalent Fibre Distributions for High Strength Laminated Composite Materials,” Composites Science and Technology, vol. 70, no. 2, pp. 291–297, 2010, https://doi.org/10.1016/j.compscitech.2009.10.020.CrossRefGoogle Scholar
Dong, L. and Atluri, S. N., “Development of 3D T-Trefftz Voronoi Cell Finite Elements with/without Spherical Voids \&/or Elastic/Rigid Inclusions for Micromechanical Modeling of Heterogeneous Materials,” Computers, Materials & Continua, vol. 29, no. 2, 2012, https://doi.org/10.3970/cmc.2012.029.169.Google Scholar
Bishay, P. L., Dong, L., and Atluri, S. N., “Multi-Physics Computational Grains (MPCGs) for Direct Numerical Simulation (DNS) of Piezoelectric Composite/Porous Materials and Structures,” Computational Mechanics, vol. 54, no. 5, pp. 1129–1139, 2014, https://doi.org/10.1007/s00466-014-1044-y.CrossRefGoogle Scholar
Dong, L. and Atluri, S. N., “SGBEM (Using Non-hyper-singular Traction BIE), and Super Elements, for Non-Collinear Fatigue-growth Analyses of Cracks in Stiffened Panels with Composite-Patch Repairs,” Cmes-Computer Modeling in Engineering & Sciences, vol. 89, pp. 417–458, 2012.Google Scholar

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