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math.AP2020
On the motion of curved dislocations in three dimensions: Simplified linearized elasticity
Irene Fonseca, Janusz Ginster, Stephan Wojtowytsch
It is shown that in core-radius cutoff regularized simplified elasticity (where the elastic energy depends quadratically on the full displacement gradient rather than its symmetriz…
math.AP2018
Strain-Gradient Plasticity as the -Limit of a Nonlinear Dislocation Energy with Mixed Growth
Janusz Ginster
In this paper a we derive by means of -convergence a macroscopic strain-gradient plasticity from a semi-discrete model for dislocations in an infinite cylindrical crystal. In co…