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Introduction to geometrically nonlin...

Silbermann, Christian B.

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Introduction to geometrically nonlinear continuum dislocation theory = FE 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 theory/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Crystals - Plastic properties. -
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, 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

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

1642202
Crystals
--Plastic properties.

LC Class. No.: QD933

Dewey Class. No.: 548.842

Introduction to geometrically nonlinear continuum dislocation theory = FE implementation and application on subgrain formation in cubic single crystals under large strains /
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100 1 $a Silbermann, Christian B. $3 3490623
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 1642202
650 0 $a Continuum mechanics. $3 535472
650 1 4 $a Structural Materials. $3 898417
650 2 4 $a Classical and Continuum Physics. $3 3218450
700 1 $a Baitsch, Matthias. $3 3490624
700 1 $a Ihlemann, Jorn. $3 3490625
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in applied sciences and technology. $3 1565541
856 4 0 $u https://doi.org/10.1007/978-3-030-63696-8
950 $a Chemistry and Materials Science (SpringerNature-11644)