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Dissipative Visco-plastic Deformation in Dynamic Fracture: Tip Blunting and Velocity Selection

Eran Bouchbinder·Anna Pomyalov·Itamar Procaccia
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Abstract

Dynamic fracture in a wide class of materials reveals "fracture energy" $Γ$ much larger than the expected nominal surface energy due to the formation of two fresh surfaces. Moreover, the fracture energy depends on the crack velocity, $Γ=Γ(v)$. We show that a simple dynamical theory of visco-plasticity coupled to asymptotic pure linear-elasticity provides a possible explanation to the above phenomena. The theory predicts tip blunting characterized by a dynamically determined crack tip radius of curvature. In addition, we demonstrate velocity selection for cracks in fixed-grip strip geometry accompanied by the identification of $Γ$ and its velocity dependence.

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Eran Bouchbinder, Anna Pomyalov, Itamar Procaccia. 2006-05-25. Dissipative Visco-plastic Deformation in Dynamic Fracture: Tip Blunting and Velocity Selection. https://doi.org/10.1103/physrevlett.97.134301

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