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Solid Mechanics and Its Applications

Computational Homogenization of Heterogeneous Materials with Finite Elements

Authors: Yvonnet, Julien

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  • Presents the theory and methodology starting from simple linear cases up to more complex cases (multiphysics, nonlinear)
  • Includes many points not found in other books, such as the computation of out-of plane properties in 2D problems, practical implementation of periodic boundary conditions in FEM, and handling strain gradient homogenization
  • Provides all details needed to implement the numerical algorithms
  • Provides reference solutions at the end of each chapter so that the user can validate its code
  • Can be used for a course at graduate level
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eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-030-18383-7
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  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-18382-0
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  • Usually dispatched within 3 to 5 business days.
About this book

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.‚Äč

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-030-18383-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-18382-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computational Homogenization of Heterogeneous Materials with Finite Elements
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
258
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-18383-7
DOI
10.1007/978-3-030-18383-7
Hardcover ISBN
978-3-030-18382-0
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XVI, 221
Number of Illustrations
29 b/w illustrations, 74 illustrations in colour
Topics