Abstract
The path independent T ∗ integral is known to be valid for any constitutive relation under quasi-static as well as dynamic conditions. Moreover the T ∗ integral can be considered to be a natural extension of the so-called (Rice's static) J integral and the dynamic J integral ( J). Thus, the T ∗ integral is now recognized as a unified crack-tip parameter governing nonlinear as well as dynamic fracture. In this paper, the invariance of the T ∗ integral, with respect to the shape of a finite process zone was verified. To this end, the simulation of elastoplastic dynamic crack propagation was carried out by using a viscoplastic finite element method. Some other relations between the T ∗ integral and different process zone models are also presented.
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