Computational Grains
Micromechanical Genome for Heterogeneous Materials

This book introduces Computational Grains, a powerful computational tool for micromechanics modelling of various heterogeneous materials.

Leiting Dong (Author), Satya N. Atluri (Author)

9781108831611, Cambridge University Press

Hardback, published 19 October 2023

288 pages
25 x 17.5 x 2.2 cm, 0.67 kg

This is the first book that systemically introduces the theory and implementation of Computational Grains for micromechanical modeling of heterogeneous materials. This book covers the specifically designed mathematics embedded in Computational Grains, and the entire process of microstructure construction, tessellation, CG simulation and homogenization. The Computational Grains discussed in this book consider elastic, non-elastic, and multi-physics solids. Materials damage development are also preliminarily discussed, with CGs considering matrix-inclusion debonding as well as embedded microcracks. Presenting the theory step-by-step and with detailed examples and MATLAB codes, the material is accessible and practical for readers. This will be ideal for graduate students and researchers in mechanical and aerospace engineering and applied mechanics.

Preface
1. Introduction
2. Computational homogenization
3. Direct numerical simulation of materials using computational grains
4. Muskhelishvili's complex functions for 2D 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 micro-cracks in the matrix and inclusions
12. Multiscale modeling of composite structures using computational grains.

Subject Areas: Materials science [TGM]