Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Christian B. Silbermann

ISBN 10: 303063695X / ISBN 13: 9783030636951

Published by Springer International Publishing, Springer Nature Switzerland Mär 2021, 2021

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 108 pp. Englisch.

Seller Inventory # 9783030636951

Bibliographic Details

• Title: Introduction to Geometrically Nonlinear Continuum Dislocation Theory
• Publisher: Springer International Publishing, Springer Nature Switzerland Mär 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 303063695X
• ISBN 13: 9783030636951
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.

About the Author

Christian B. Silbermann studied Mechanical Engineering at the University of Technology (TU) Chemnitz, with focus on applied mechanics and thermodynamics. Currently he is Scientific Assistant at TU Chemnitz at the Institute of Mechanics and Thermodynamics, Professorship of Solid Mechanics. This book is based on the author’s doctoral thesis.