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Journal of Convex Analysis 28 (2021), No. 2, [final page numbers not yet available]
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
dalmaso@sissa.it

Luca Heltai
SISSA, Via Bonomea 265, 34136 Trieste, Italy
luca.heltai@sissa.it



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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