Well-posedness for the microcurl model in both single and polycrystal gradient plasticity

Francois Ebobisse; Patrizio Neff; Samuel Forest

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arXiv · 1608.06081

Well-posedness for the microcurl model in both single and polycrystal gradient plasticity

Francois Ebobisse·Patrizio Neff·Samuel Forest

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Abstract

We consider the recently introduced microcurl model which is a variant of strain gradient plasticity in which the curl of the plastic distortion is coupled to an additional micromorphic-type field. For both single crystal and polycrystal cases, we formulate the model and show its well-posedness in the rate-independent case provided some local hardening (isotropic or linear kinematic) is taken into account. To this end, we use the functional analytical framework developed by Han-Reddy. We also compare the model to the relaxed micromorphic model as well as to a dislocation-based gradient plasticity model.

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Francois Ebobisse, Patrizio Neff, Samuel Forest. 2016-08-22. Well-posedness for the microcurl model in both single and polycrystal gradient plasticity. https://arxiv.org/abs/1608.06081

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