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

作者：Ebobisse Francois^*; Neff Patrizio; Forest Samuel

来源：International Journal of Plasticity, 2018, 107: 1-26.

DOI：10.1016/j.ijplas.2017.01.006

• Plasticity
• Gradient plasticity
• Variational modelling
• Dissipation function
• Micromorphic continuum
• Defect energy
• Micro-dislocation

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.

• 出版日期2018-8
• 单位Mines Paristech