Computational Homogenization of Heterogeneous Materials with Finite Elements
Series:
Solid Mechanics and Its Applications;
258;
Edition number: 1st ed. 2019
Publisher: Springer
Date of Publication: 21 June 2019
Number of Volumes: 1 pieces, Book
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Product details:
ISBN13: | 9783030183820 |
ISBN10: | 3030183823 |
Binding: | Hardback |
No. of pages: | 223 pages |
Size: | 235x155 mm |
Weight: | 535 g |
Language: | English |
Illustrations: | 29 Illustrations, black & white; 77 Illustrations, color |
152 |
Category:
Short description:
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.?
Long description:
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.?
Table of 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.