Calculus of Variations and Geometric Measure Theory

R. Scala - U. Stefanelli

Linearization for finite plasticity under dislocation-density tensor regularization

created by scala on 26 May 2020


Accepted Paper

Inserted: 26 may 2020
Last Updated: 26 may 2020

Journal: Continuum Mechanics and Thermodynamics
Year: 2020


Finite-plasticity theories often feature nonlocal energetic contributions in the plastic variables. By introducing a length-scale for plastic effects in the picture, these nonlocal terms open the way to existence results 25. We focus here on a reference example in this direction, where a specific energetic contribution in terms of dislocation-density tensor is considered 30. When external forces are small and dissipative terms are suitably rescaled, the finite-strain elastoplastic problem converges toward its linearized counterpart. We prove a Γ-convergence result making this asymptotics rigorous, both at the incremental level and at the level of quasistatic evolution.