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Book Cover
E-book
Author Yvonnet, Julien, author

Title Computational homogenization of heterogeneous materials with finite elements / Julien Yvonnet
Published Cham : Springer, [2019]

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Description 1 online resource (231 pages)
Series Solid Mechanics and Its Applications ; v. 258
Solid mechanics and its applications ; v. 258.
Contents Foreword -- Preface -- Introduction -- Review of classical FEM formulations and discretizations -- Conduction properties -- Elasticity and thermoelasticity -- Piezoelectricity -- Porous media -- Second-order linear homogenization -- Filter-based homogenization -- Nonlinear Computational Homogenization -- Bibliography -- Appendices -- Index
Summary 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
Notes Print version record
Subject Homogenization (Differential equations)
Finite element method.
Finite element method
Homogenization (Differential equations)
Form Electronic book
ISBN 9783030183837
3030183831