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Computational Homogenization of Heterogeneous Materials with Finite Elements / by Julien Yvonnet.
Springer Nature - Springer Engineering eBooks 2019 English International Available online
View online- Format:
- Book
- Author/Creator:
- Yvonnet, Julien, author.
- Series:
- Engineering (Springer-11647)
- Solid mechanics and its applications 0925-0042 ; 258.
- Solid Mechanics and Its Applications, 0925-0042 ; 258
- Language:
- English
- Subjects (All):
- Computer science--Mathematics.
- Computer science.
- Mechanics.
- Mechanics, Applied.
- Materials science.
- Physics.
- Materials.
- Computational Science and Engineering.
- Solid Mechanics.
- Materials Science, general.
- Numerical and Computational Physics, Simulation.
- Materials Engineering.
- Local Subjects:
- Computational Science and Engineering.
- Solid Mechanics.
- Materials Science, general.
- Numerical and Computational Physics, Simulation.
- Materials Engineering.
- Physical Description:
- 1 online resource (XVI, 221 pages) : 103 illustrations, 74 illustrations in color.
- Edition:
- First edition 2019.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2019.
- System Details:
- text file PDF
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-18383-7
- 9783030183837
- Access Restriction:
- Restricted for use by site license.
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