Computational Homogenization of Heterogeneous Materials with Finite Elements

• Main Author: Yvonnet, Julien (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Solid Mechanics and Its Applications, 258
• Subjects: Computer mathematics.; Mechanics.; Mechanics, Applied.; Materials science.; Physics.; Engineering-Materials.; Computational Science and Engineering.; Solid Mechanics.; Materials Science, general.; Numerical and Computational Physics, Simulation.; Materials Engineering.

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 o...

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.