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Multiscale Modeling Approaches for Composites
Outlines the fundamental theory behind the most commonly-used multiscale techniques and provides detailed methodologies for putting techniques into practice
George Chatzigeorgiou (Author), Fodil Meraghni (Author), Nicolas Charalambakis (Author)
9780128231432, Elsevier Science
Paperback, published 19 January 2022
364 pages, 100 illustrations (20 in full color)
22.9 x 15.2 x 2.3 cm, 0.45 kg
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.
Part I. Tensors and Continuum Mechanics Concepts 1. Tensors 2. Continuum mechanics Part 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
Subject Areas: Mechanical engineering [TGB]
