Introduction to geometrically nonlinear continuum dislocation theory : FE implementation and application on subgrain formation in cubic single crystals under large strains / Christian B. Silbermann, Matthias Baitsch, Jörn Ihlemann.
Silbermann, Christian B.; Baitsch, Matthias.; Ihlemann, Jörn.
2021
QD933
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Title
Introduction to geometrically nonlinear continuum dislocation theory : FE implementation and application on subgrain formation in cubic single crystals under large strains / Christian B. Silbermann, Matthias Baitsch, Jörn Ihlemann.
Author
Silbermann, Christian B.
ISBN
9783030636968 (electronic bk.)
3030636968 (electronic bk.)
9783030636951 (print)
303063695X
DOI
https://doi.org/10.1007/978-3-030-63696-8
Publication Details
Cham : Springer, 2021.
Language
English
Description
1 online resource (100 pages)
Item Number
10.1007/978-3-030-63696-8 doi
Call Number
QD933
Dewey Decimal Classification
548/.842
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 29, 2021).
Added Author
Baitsch, Matthias.
Ihlemann, Jörn.
Series
SpringerBriefs in applied sciences and technology.
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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.

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