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Discontinuous failure analysis for mode-I and mode-II localization problems. (English) Zbl 0933.74060

Summary: We assume the failure to be a discrete phenomenon, and use a modelling in which a crack or a shear band is incorporated in the shape functions of the finite element formulation. A discontinuous function of the displacement gradients acts as an additional localized mode with a length scale parameter that is independent of the element size. A predefinition of the failure zone is not necessary, and the crack or shear band can be described with a relatively small number of finite elements. The model is elaborated for simple mode-I and mode-II problems. We present a comparison with standard continuum failure models.

MSC:

74R99 Fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
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