國立虎尾科技大學 |

Computational Homogenization of Heterogeneous Materials with Finite Elements

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Computational Homogenization of Heterogeneous Materials with Finite Elements/ by Julien Yvonnet.
Author:	Yvonnet, Julien.
Description:	XVI, 221 p. 103 illus., 74 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computer mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-18383-7
ISBN:	9783030183837

Computational Homogenization of Heterogeneous Materials with Finite Elements
Yvonnet, Julien.

Computational Homogenization of Heterogeneous Materials with Finite Elements[electronic resource] /by Julien Yvonnet. - 1st ed. 2019. - XVI, 221 p. 103 illus., 74 illus. in color.online resource. - Solid Mechanics and Its Applications,2580925-0042 ;. - Solid Mechanics and Its Applications,215.

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.

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.

ISBN: 9783030183837

Standard No.: 10.1007/978-3-030-18383-7doiSubjects--Topical Terms:

1199796
Computer mathematics.

LC Class. No.: QA71-90

Dewey Class. No.: 004

Computational Homogenization of Heterogeneous Materials with Finite Elements
LDR:02555nam a22004095i 4500 001 1004380
003 DE-He213
005 20200706125236.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030183837 $9 978-3-030-18383-7
024 7 $a 10.1007/978-3-030-18383-7 $2 doi
035 $a 978-3-030-18383-7
050 4 $a QA71-90
072 7 $a PDE $2 bicssc
072 7 $a COM014000 $2 bisacsh
072 7 $a PDE $2 thema
082 0 4 $a 004 $2 23
100 1 $a Yvonnet, Julien. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1228295
245 1 0 $a Computational Homogenization of Heterogeneous Materials with Finite Elements $h [electronic resource] / $c by Julien Yvonnet.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XVI, 221 p. 103 illus., 74 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Solid Mechanics and Its Applications, $x 0925-0042 ; $v 258
505 0 $a 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.
520 $a 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.
650 0 $a Computer mathematics. $3 1199796
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Materials science. $3 557839
650 0 $a Physics. $3 564049
650 0 $a Engineering—Materials. $3 1253659
650 1 4 $a Computational Science and Engineering. $3 670319
650 2 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Materials Science, general. $3 683521
650 2 4 $a Numerical and Computational Physics, Simulation. $3 1112293
650 2 4 $a Materials Engineering. $3 1062318
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030183820
776 0 8 $i Printed edition: $z 9783030183844
776 0 8 $i Printed edition: $z 9783030183851
830 0 $a Solid Mechanics and Its Applications, $x 0925-0042 ; $v 215 $3 1254714
856 4 0 $u https://doi.org/10.1007/978-3-030-18383-7
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)