1.

Record Nr.

UNINA9910337616103321

Autore

Yvonnet Julien

Titolo

Computational Homogenization of Heterogeneous Materials with Finite Elements [[electronic resource] /] / by Julien Yvonnet

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-18383-1

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (231 pages)

Collana

Solid Mechanics and Its Applications, , 0925-0042 ; ; 258

Disciplina

515.35

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.