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

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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https://hal-mines-paristech.archives-ouvertes.fr/hal-01825727
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Soumis le : jeudi 28 juin 2018 - 15:28:57
Dernière modification le : lundi 12 novembre 2018 - 11:04:55

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François Ebobisse, Patrizio Neff, Samuel Forest. Well-posedness for the microcurl model in both single and polycrystal gradient plasticity. International Journal of Plasticity, Elsevier, 2018, 107, pp.1-26. ⟨10.1016/j.ijplas.2017.01.006⟩. ⟨hal-01825727⟩

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