Existence Theory for Finite-Strain Crystal Plasticity with Gradient Regularization

  • Alexander MielkeEmail author
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 21)


We provide a global existence result for the time-continuous elastoplasticity problem using the energetic formulation. The deformation gradient is decomposed multiplicatively into an elastic part and the plastic tensor P, which is driven by the plastic slip strain rates \(\dot{p}\) j. We allow for self-hardening as well as crosshardening. The strain gradients ∇pj and ∇P are used to regularize the problem, thus introducing a length scale and preventing the formation of microstructure.


Slip System Strain Gradient Lower Semicontinuity Existence Theory Multiplicative Decomposition 
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© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Weierstraß-Institut für Angewandte Analysis und StochastikBerlinGermany

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