Chatzigeorgiou G.Multiscale Modeling Approaches..Composites 2022 torrent

Textbook in PDF format

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.
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
Tensors and continuum mechanics concepts
Tensors
Continuum mechanics
Micromechanics for composite media
General concepts of micromechanics
Voigt and Reuss bounds
Eshelby solution–based mean–field methods
Periodic homogenization
Classical laminate theory
Special topics in homogenization
Composite sphere/cylinder assemblage
Green’s tensor
Hashin–Shtrikman bounds
Mathematical homogenization theory
Nonlinear composites
A. Fiber orientation in composites