Abstract
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.
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Mielke, A. (2010). Existence Theory for Finite-Strain Crystal Plasticity with Gradient Regularization. In: Hackl, K. (eds) IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. IUTAM Bookseries, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9195-6_13
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DOI: https://doi.org/10.1007/978-90-481-9195-6_13
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