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chatzigeorgiou g multiscale modeling approaches composites 2022

Type:: E-books
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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

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Chatzigeorgiou G.Multiscale Modeling Approaches..Composites 2022.pdf 15.0 MB

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chatzigeorgiou g multiscale modeling approaches composites 2022

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