Introduction to Geometrically Nonlinear Continuum Dislocation Theory
FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains
Published on 2. March 2021
XIII, 94 pages
978-3-030-63696-8 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2021
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIII, 94 p. 61 illus., 18 illus. in color.
File size
36,44 MB
ISBN-13
978-3-030-63696-8 (9783030636968)
DOI
10.1007/978-3-030-63696-8
Schweitzer Classification
Other editions
Additional editions
Christian B. Silbermann | Matthias Baitsch | Jörn Ihlemann
Introduction to Geometrically Nonlinear Continuum Dislocation Theory
FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains
Book
03/2021
Springer
€53.49
Shipment within 7-9 days
Persons
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.
Content
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.
