Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modeling techniques and provides detailed guidance for putting them into practice. Various homogenization methods are presented in a simple, didactic manner, with an array of numerical examples.
The book starts by covering the theoretical underpinnings of tensors and continuum mechanics concepts, then passes to actual micromechanic techniques for composite media and laminate plates. In the last chapters the book covers advanced topics in homogenization, including Green's tensor, Hashin-Shtrikman bounds, and special types of problems. All chapters feature comprehensive analytical and numerical examples (Python and ABAQUS scripts) to better illustrate the theory.
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Table of Contents
Part I. Tensors and Continuum Mechanics Concepts 1. Tensors 2. Continuum mechanicsPart II. Micromechanics for Composite Media 3. General concepts of micromechanics 4. Voigt and Reuss bounds 5. Eshelby solution based mean-field methods 6. Periodic homogenization 7. Laminate theory
Part III. Special Topics in Homogenization 8. Composite spheres/cylinders assemblage 9. Green's tensor 10. Hashin-Shtrikman bounds 11. Mathematical homogenization theory 12. Nonlinear composites