Kybernetika 62 no. 3, 427-455, 2026

Inertial energetic solutions for small-strain single-slip elasto--plasticity

Akira IshikawaDOI: 10.14736/kyb-2026-3-0427

Abstract:

We propose an energetic formulation for a small-strain single-slip elasto--plastic body with inertia and Kelvin--Voigt viscosity. The evolution couples a weak momentum balance for the displacement with a rate-independent semistability condition for the slip variable, and it is driven by a total energy that includes elastic and hardening contributions together with a strain-gradient regularization of the slip. Under variable material coefficients and \(H^{1}\)-regular loadings, we establish the existence of inertial energetic solutions.

Keywords:

rate-independent systems, inertia, small-strain elastoplasticity, single-slip

Classification:

74C05, 74D05, 74H20

paper.pdf

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