Book contents
- Computational Grains
- Computational Grains
- Copyright page
- Contents
- Preface
- 1 Introduction
- 2 Computational Homogenization in the Micromechanics of Heterogeneous Materials
- 3 Direct Numerical Simulation of Materials Using Computational Grains
- 4 Trefftz Trial Functions for Computational Grains for Planar and 3D Problems
- 5 Computational Grains for Particulate Composites and Porous Materials
- 6 Computational Grains for Cylindrical Fiber Composites
- 7 Computational Grains for Nanocomposites
- 8 Computational Grains for Composites with Coated Inclusions
- 9 Computational Grains for Viscoelastic Composites
- 10 Computational Grains for Piezoelectric Composites/Porous Materials
- 11 Computational Grains with Embedded Microcracks in the Matrix and Inclusions
- 12 Multi-Scale Modeling of Composite Structures Using Computational Grains
- Index
- References
3 - Direct Numerical Simulation of Materials Using Computational Grains
Published online by Cambridge University Press: 05 October 2023
Book contents
- Computational Grains
- Computational Grains
- Copyright page
- Contents
- Preface
- 1 Introduction
- 2 Computational Homogenization in the Micromechanics of Heterogeneous Materials
- 3 Direct Numerical Simulation of Materials Using Computational Grains
- 4 Trefftz Trial Functions for Computational Grains for Planar and 3D Problems
- 5 Computational Grains for Particulate Composites and Porous Materials
- 6 Computational Grains for Cylindrical Fiber Composites
- 7 Computational Grains for Nanocomposites
- 8 Computational Grains for Composites with Coated Inclusions
- 9 Computational Grains for Viscoelastic Composites
- 10 Computational Grains for Piezoelectric Composites/Porous Materials
- 11 Computational Grains with Embedded Microcracks in the Matrix and Inclusions
- 12 Multi-Scale Modeling of Composite Structures Using Computational Grains
- Index
- References
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
- Type
- Chapter
- Information
- Computational GrainsMicromechanical Genome for Heterogeneous Materials, pp. 27 - 44Publisher: Cambridge University PressPrint publication year: 2023
References
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