Approaches for dynamic fracture simulation: r-adaptive material force and phase-field method

Abstract eng:
The numerical crack approximation in finite element simulations may be categorized in discrete and smeared approaches. The discrete approach models a crack as free edges in the meshing with an actual separation of the elements along the crack surface. The smeared approach represents the crack by a modification of the relation of stresses and strains in the elements in the vicinity of the crack. This contribution presents the application of state of the art approaches of each category to dynamic fracture simulations and a detailed comparison of both methods by evaluation of the simulation results. In respect of the discrete approaches, an r-adaptive node duplication technique triggered by the evaluation of the “material force“ at the crack tip is introduced. The smeared approach employs the phase-field method. Both methods are presented and applied to characteristic dynamic fracture examples for evaluation and comparison of their capabilities.

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