Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Download or read book Introduction to Geometrically Nonlinear Continuum Dislocation Theory written by Christian B. Silbermann and published by Springer Nature. This book was released on 2021-03-02 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.