Geodesic
A Numerical Study of the Jerky Crack Growth in Elastoplastic Materials with Localized Plasticity
Journal of convex analysis, Tome 28 (2021) no. 2, pp. 535-548
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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.
Classification : 49K10, 35J05, 35J25, 65N22, 74A45, 74C05
Mots-clés : Fracture mechanics, plasticity, quasistatic evolution, rate-independent problems, finite element method 
@article{JCA_2021_28_2_JCA_2021_28_2_a12,
     author = {G. Dal Maso and L. Heltai},
     title = {A {Numerical} {Study} of the {Jerky} {Crack} {Growth} in {Elastoplastic} {Materials} with {Localized} {Plasticity}},
     journal = {Journal of convex analysis},
     pages = {535--548},
     year = {2021},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a12/}
}
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G. Dal Maso; L. Heltai. A Numerical Study of the Jerky Crack Growth in Elastoplastic Materials with Localized Plasticity. Journal of convex analysis, Tome 28 (2021) no. 2, pp. 535-548. http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a12/