George Chatzigeorgiou, Fodil Meraghni, Nicolas Charalambakis

Multiscale Modeling Approaches for Composites (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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

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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 364
• Erscheinungstermin: 7. Januar 2022
• Englisch
• ISBN-13: 9780128233702
• Artikelnr.: 63274484

Autorenporträt

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.

Inhaltsangabe

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