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 (Autoren)

Buch | Softcover

XIII, 94 Seiten

2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-63695-1 (ISBN)

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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.

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.

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.

Erscheinungsdatum	08.04.2021
Reihe/Serie	SpringerBriefs in Applied Sciences and Technology
Reihe/Serie	SpringerBriefs in Continuum Mechanics
Zusatzinfo	XIII, 94 p. 61 illus., 18 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	180 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Bauwesen
	Technik ► Maschinenbau
Schlagworte	Crystal plasticity • Dislocated single crystal • Finite Element Method • Geometrically necessary dislocations • Localization • pattern formation
ISBN-10	3-030-63695-X / 303063695X
ISBN-13	978-3-030-63695-1 / 9783030636951
Zustand	Neuware