Computational Homogenization of Heterogeneous Materials with Finite Elements 1st edition by Julien Yvonnet 9783030183837 3030183831

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Product details:

ISBN 10:3030183831
ISBN 13:9783030183837
Author:Julien Yvonnet
This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.​

Computational Homogenization of Heterogeneous Materials with Finite Elements 1st  Table of contents:

1. Introduction

2. Review of Classical FEM Formulations and Discretizations

3. Conduction Properties

4. Elasticity and Thermoelasticity

5. Piezoelectricity

6. Saturated Porous Media

7. Linear Viscoelastic Materials

8. When Scales Cannot Be Separated: Direct Solving of Heterogeneous Structures with an Advanced Multiscale Method

9. Nonlinear Computational Homogenization

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Julien Yvonnet,Heterogeneous,,Materials,Computational