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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 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to Geometrically Nonlinear Continuum Dislocation Theory/ by Christian B. Silbermann, Matthias Baitsch, Jörn 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:	Ihlemann, Jörn.
面頁冊數:	XIII, 94 p. 61 illus., 18 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Classical and Continuum Physics. -
電子資源:	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:

1141497
Classical and Continuum Physics.

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 /
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