Abstract
This paper presents the numerical analyses of dynamic crack propagation in visco-plastic solids. A tangent modulus formulation based on σyd=h(ε^-vp, ε^^(-^^·)vp) is used to take into account visco-plasticity. A linear relaxation technique of nodal forces is also employed for the modeling of continuous dynamic crack propagation. The fracture mechanics parameter calculated here is a path independent integral, T*, which is applicable to both quasi-static and dynamic fracture phenomena of non-linear materials. First, a parametric calculation of dynamic crack propagation at a constant velocity in a visco-plastic solid is performed to investigate the high-strain-rate effects on the T* integral and 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 a fracture toughness and a crack velocity.
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