A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. (English) Zbl 1471.65183

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


65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J25 Boundary value problems for second-order elliptic equations
74A45 Theories of fracture and damage
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74B10 Linear elasticity with initial stresses
74R10 Brittle fracture


deal2lkit; deal.ii
Full Text: arXiv Link


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