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Journal of Convex Analysis 28 (2021), No. 2, 535--548
Copyright Heldermann Verlag 2021

A Numerical Study of the Jerky Crack Growth in Elastoplastic Materials with Localized Plasticity

Gianni Dal Maso
SISSA, Via Bonomea 265, 34136 Trieste, Italy

Luca Heltai
SISSA, Via Bonomea 265, 34136 Trieste, Italy

We present a numerical implementation of a model of quasi-static crack growth in linearly elastic-perfectly plastic materials. We assume that the displacement is antiplane, and that the cracks and the plastic slips are localized on a prescribed path. We provide numerical evidence of the fact that the crack growth is intermittent, with jump characteristics that depend on the material properties.

Keywords: Fracture mechanics, plasticity, quasistatic evolution, rate-independent problems, finite element method.

MSC: 49K10, 35J05, 35J25, 65N22, 74A45, 74C05.

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