MITIGATION OF MESH DEPENDENCY IN PROBABILISTIC FINITE ELEMENT SIMULATION OF QUASIBRITTLE FRACTURE

Abstract eng:
The contribution introduces probabilistic variant of the crack band model to mitigate mesh dependency issues in probabilistic finite element simulations of quasibrittle fracture. The probabilistic crack band model is limited to the element size larger than the localization band. It introduces transition from the weakest link theory (crack may choose freely where to initiate and propagate within the element) to standard crack band model with only one possible crack band position within the element. The transition is driven by level of localization reached by the element and its surroundings. The probability density function of the elemental strength and energy dissipation is modified accordingly. The model is applied in simulations of prisms loaded under tension, bending and three-point-bending. The obtained statistical characteristics of the results are nearly mesh independent proving applicability of the probabilistic crack band model.

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