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Keywords:
rate-independent systems; inertia; small-strain elastoplasticity; single-slip
rate-independent systems; inertia; small-strain elastoplasticity; single-slip
Summary:
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.
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