Abstract

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.

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Keywords

  • Fracture mechanics
  • plasticity
  • quasistatic evolution
  • rate-independent problems
  • finite element method

Mathematics Subject Classification

49K10, 35J05, 35J25, 65N22, 74A45, 74C05

Suggested citation

G. Dal Maso, L. Heltai. “A Numerical Study of the Jerky Crack Growth in Elastoplastic Materials with Localized Plasticity.” Journal of Convex Analysis 28 (2021), No. 2, 535–548. https://doi.org/10.68381/jca28030

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Published by Heldermann Verlag, 2021. Rights now held by Banach Press.