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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 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to geometrically nonlinear continuum dislocation theoryby Christian B. Silbermann, Matthias Baitsch, Jorn Ihlemann.
其他題名:	FE implementation and application on subgrain formation in cubic single crystals under large strains /
作者:	Silbermann, Christian B.
其他作者:	Baitsch, Matthias.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xiii, 94 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	CrystalsPlastic properties.
電子資源:	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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300 $a xiii, 94 p. : $b ill., digital ; $c 24 cm.
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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.
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