Abstract
This paper presents a numerical analysis of dynamic crack propagation in a visco-plastic solid. A tangent modulus formulation, based on a uniaxial material characterization in the form σ yd = h( ϵ ̄ vp , ϵ ̄• vp , is used to take into account the visco-plasticity. A technique of nodal force relaxation is employed for the modeling of continuous dynamic crack propagation. The fracture mechanics parameter studied here is a path independent integral, T∗, which is applicable to both quasi-static and dynamic fracture phenomena of non-linear materials, and which has the meaning of an energy-release rate for the case of the specific visco-plastic material studied herein. At first, a numerical simulation of dynamic crack propagation at various values of constant velocity in a visco-plastic solid is carried out to investigate the high-strain-rate effects on the energy release rate, and on the stress—strain fields near the crack tip. Secondly, a generation phase calculation of an experiment performed by Brickstad is carried out to obtain a relationship between the fracture toughness and crack velocity in a visco-plastic solid.
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