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Introduction to geometrically nonlin...

Baitsch, Matthias.

Introduction to geometrically nonlinear continuum dislocation theoryFE implementation and application on subgrain formation in cubic single crystals under large strains /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to geometrically nonlinear continuum dislocation theoryby Christian B. Silbermann, Matthias Baitsch, Jorn 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.
Published:	Cham :Springer International Publishing :2021.
Description:	xiii, 94 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	CrystalsPlastic properties.
Online resource:	https://doi.org/10.1007/978-3-030-63696-8
ISBN:	9783030636968$q(electronic bk.)

Introduction to geometrically nonlinear continuum dislocation theoryFE 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, Jorn Ihlemann. - Cham :Springer International Publishing :2021. - xiii, 94 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology. - SpringerBriefs in applied sciences and technology..

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$q(electronic bk.)

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

666649
Crystals
--Plastic properties.

LC Class. No.: QD933

Dewey Class. No.: 548.842

Introduction to geometrically nonlinear continuum dislocation theoryFE implementation and application on subgrain formation in cubic single crystals under large strains /
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100 1 $a Silbermann, Christian B. $3 894647
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, Jorn Ihlemann.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 94 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology
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 Crystals $x Plastic properties. $3 666649
650 0 $a Continuum mechanics. $3 190274
650 1 4 $a Structural Materials. $3 274623
650 2 4 $a Classical and Continuum Physics. $3 771188
700 1 $a Baitsch, Matthias. $3 894648
700 1 $a Ihlemann, Jorn. $3 894649
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950 $a Chemistry and Materials Science (SpringerNature-11644)