Introduction to Geometrically Nonlinear Continuum Dislocation Theory

FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains
1. Auflage 2021
ISBN: 978-3-030-63695-1
Verlag: Springer International Publishing

Buch, Englisch, 94 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 178 g

Reihe: SpringerBriefs in Applied Sciences and Technology

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.

Zielgruppe

Research

Autoren/Hrsg.

Silbermann, Christian B.

Ihlemann, Jörn

Baitsch, Matthias

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde

Inhaltsverzeichnis

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.

Über Autor(innen)

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.