Strain gradient visco-plasticity with dislocation densities contributing to the energy

2017/04/18 by Matthias Röger, Röger, Matthias, Ben Schweizer +1
Engineering · Materials Science · Mathematics · #49J45 #74C10 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Nonlinear Partial Differential Equations #Nonlocal and gradient elasticity in micro/nano structures

paper · pdf · doi:10.48550/arxiv.1704.05326

openalex publication_date 2017/04/18 · openalex created_date 2022/10/22 · openalex updated_date 2026/07/28

Abstract

We consider the energetic description of a visco-plastic evolution and derive an existence result. The energies are convex, but not necessarily quadratic. Our model is a strain gradient model in which the curl of the plastic strain contributes to the energy. Our existence results are based on a time-discretization, the limit procedure relies on Helmholtz decompositions and compensated compactness.

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