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 is divided into three sections, with the first covering the theoretical underpinnings of tensors and continuum mechanics concepts, the second moving into actual micromechanic techniques for composite media, and the book concludes with a section on advanced topics in homogenization, including Green's tensor, Hashin-Shtrikman bounds, and special mean-field type problems. All chapters feature simple analytical and numerical examples (Python and ABAQUS scripts) to better illustrate the theory.

Key features:

• Bridges theory and practice, providing step-by-step instructions for implementing multiscale modeling approaches for composites and the theoretical concepts behind them.
• Covers boundary conditions, data-exchange between scales, the Hill-Mandel principle, average stress and strain theorems, and more.
• Discusses how to obtain composite properties using different boundary conditions.
• Includes access to a companion site, featuring the numerical examples, Python and ABACUS codes discussed in the book.