國立虎尾科技大學 |

Introduction to Geometrically Nonlinear Continuum Dislocation Theory = FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Geometrically Nonlinear Continuum Dislocation Theory/ by Christian B. Silbermann, Matthias Baitsch, Jörn Ihlemann.
Reminder of title:	FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains /
Author:	Silbermann, Christian B.
other author:	Baitsch, Matthias.
Description:	XIII, 94 p. 61 illus., 18 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Structural materials. -
Online resource:	https://doi.org/10.1007/978-3-030-63696-8
ISBN:	9783030636968

Introduction to Geometrically Nonlinear Continuum Dislocation Theory = FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains /
Silbermann, Christian B.

Introduction to Geometrically Nonlinear Continuum Dislocation TheoryFE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains /[electronic resource] :by Christian B. Silbermann, Matthias Baitsch, Jörn Ihlemann. - 1st ed. 2021. - XIII, 94 p. 61 illus., 18 illus. in color.online resource. - SpringerBriefs in Continuum Mechanics,2625-1337. - SpringerBriefs in Continuum Mechanics,.

Introduction -- Nonlinear kinematics of a continuously dislocated crystal -- Crystal kinetics and -thermodynamics -- Special cases included in the theory -- Geometrical linearization of the theory -- Variational formulation of the theory -- Numerical solution with the finite element method -- FE simulation results -- Possibilities of experimental validation -- Conclusions and Discussion -- Elements of Tensor Calculus and Tensor Analysis -- Solutions and algorithms for nonlinear plasticity.

This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail.

ISBN: 9783030636968

Standard No.: 10.1007/978-3-030-63696-8doiSubjects--Topical Terms:

1253576
Structural materials.

LC Class. No.: TA401-492

Dewey Class. No.: 620.11

Introduction to Geometrically Nonlinear Continuum Dislocation Theory = FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains /
LDR:02674nam a22004215i 4500 001 1048049
003 DE-He213
005 20210904074719.0
007 cr nn 008mamaa
008 220103s2021 sz | s |||| 0|eng d
020 $a 9783030636968 $9 978-3-030-63696-8
024 7 $a 10.1007/978-3-030-63696-8 $2 doi
035 $a 978-3-030-63696-8
050 4 $a TA401-492
050 4 $a TA418.9.C57
072 7 $a TGM $2 bicssc
072 7 $a TEC021000 $2 bisacsh
072 7 $a TGM $2 thema
072 7 $a TNC $2 thema
082 0 4 $a 620.11 $2 23
100 1 $a Silbermann, Christian B. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1351825
245 1 0 $a Introduction to Geometrically Nonlinear Continuum Dislocation Theory $h [electronic resource] : $b FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains / $c by Christian B. Silbermann, Matthias Baitsch, Jörn Ihlemann.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a XIII, 94 p. 61 illus., 18 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 SpringerBriefs in Continuum Mechanics, $x 2625-1337
505 0 $a Introduction -- Nonlinear kinematics of a continuously dislocated crystal -- Crystal kinetics and -thermodynamics -- Special cases included in the theory -- Geometrical linearization of the theory -- Variational formulation of the theory -- Numerical solution with the finite element method -- FE simulation results -- Possibilities of experimental validation -- Conclusions and Discussion -- Elements of Tensor Calculus and Tensor Analysis -- Solutions and algorithms for nonlinear plasticity.
520 $a This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail.
650 0 $a Structural materials. $3 1253576
650 0 $a Continuum physics. $3 1255031
650 1 4 $a Structural Materials. $3 677176
650 2 4 $a Classical and Continuum Physics. $3 1141497
700 1 $a Baitsch, Matthias. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1351826
700 1 $a Ihlemann, Jörn. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1351827
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030636951
776 0 8 $i Printed edition: $z 9783030636975
830 0 $a SpringerBriefs in Continuum Mechanics, $x 2625-1329 $3 1267076
856 4 0 $u https://doi.org/10.1007/978-3-030-63696-8
912 $a ZDB-2-CMS
912 $a ZDB-2-SXC
950 $a Chemistry and Materials Science (SpringerNature-11644)
950 $a Chemistry and Material Science (R0) (SpringerNature-43709)