Multiscale Modeling Approaches for Composites

by George Chatzigeorgiou, Fodil Meraghni, Nicolas Charalambakis

Overview

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. - 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

Product Details

ISBN-13:	9780128233702
Publisher:	Elsevier Science
Publication date:	01/07/2022
Sold by:	Barnes & Noble
Format:	eBook
Pages:	364
File size:	27 MB
Note:	This product may take a few minutes to download.

About the Author

George Chatzigeorgiou is a Research Scientist at CNRS (CR-HDR) based at the Arts et Métiers Institute of Technology, France, and a member of the LEM3-UMR CNRS 7239 laboratory in France. His research is devoted to constitutive modeling of multifunctional materials and homogenization theories of composites.Fodil Meraghni is a Distinguished Professor at the Arts et Métiers Institute of Technology, France. He is the head of the Composites and Smart Materials Research Group at LEM3-UMR CNRS 7239 in France, working on multiscale modeling using micromechanical approaches for homogenization of polymer composites and shape memory alloys.Nicolas Charalambakis is a Professor Emeritus in the Department of Civil Engineering at Aristotle University of Thessaloniki, Greece, and a member of the Center for Research and Development of Advanced Materials AUTH and Texas A&M, USA. His research focuses on homogenization and material instabilities.

Table of Contents

Part I. Tensors and Continuum Mechanics Concepts1. Tensors2. Continuum mechanics Part II. Micromechanics for Composite Media3. General concepts of micromechanics4. Voigt and Reuss bounds5. Eshelby solution based mean-field methods6. Periodic homogenization7. Laminate theory Part III. Special Topics in Homogenization8. Composite spheres/cylinders assemblage9. Green's tensor10. Hashin-Shtrikman bounds11. Mathematical homogenization theory12. Nonlinear composites

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From the Publisher

Outlines the fundamental theory behind the most commonly-used multiscale techniques and provides detailed methodologies for putting techniques into practice