Introduction to Geometrically Nonlinear Continuum Dislocation Theory by Christian B. Silbermann & Matthias Baitsch & Jörn Ihlemann

Author:Christian B. Silbermann & Matthias Baitsch & Jörn Ihlemann
Language: eng
Format: epub
ISBN: 9783030636968
Publisher: Springer International Publishing

6.2 FE Solution Algorithm for Plane Deformations and Two Slip Systems

In order to obtain an FEM equation system in matrix form for plane deformation with two slip systems, the FE formulation of the force equilibrium (6.7) and the matrix representation (5.​21) of the principle of virtual power are combined. For a monolithic treatment, the unknowns are arranged to the generalized tuple

The velocity field and the slip rate field result from this by means of

(6.9)

With the unity matrix and the zero matrix , this is written as

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