Computational Grains

Micromechanical Genome for Heterogeneous Materials

Leiting Dong, Satya N. Atluri

• Publisher: Cambridge University Press
• Year: 2023
• Topic: Technology & Engineering
• eBook ISBN:
  9781108934695
• Subtopic: Materials Science
• Index: Technology & Engineering

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.

Table of contents

• Cover
• Half-title page
• Title page
• 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