Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Beschreibung

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.
Comprehensive introduction to single crystal plasticity with continuously distributed dislocations Provides a straightforward preparation for the implementation into FEM codes Presents simulations introducing the characteristics of pattern forming systems

Autor*in

Christian B. Silbermann

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Crystal plasticity Dislocated single crystal Pattern formation Geometrically necessary dislocations Localization Finite Element Method

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