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arXiv · 2411.14316

Quasistatic nonassociative plasticity at finite strains

Ulisse Stefanelli·Andreas Vikelis
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Abstract

We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasistatic equilibrium system. We introduce measure-valued energetic solutions and prove their existence via a time discretization approach. The existence theory hinges on a suitable regularization of the dissipation term via a space-time mollification. Eventually, we discuss the possibility of solving the problem in the setting of functions, instead of measures.

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Ulisse Stefanelli, Andreas Vikelis. 2025-05-07. Quasistatic nonassociative plasticity at finite strains. https://arxiv.org/abs/2411.14316

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