Dynamic analysis of a penny-shaped crack by the fractal-like finite element method

Abstract

The fractal-like finite element method is an accurate method to determine the stress intensity factors around crack tips.The method has been developed to study all kinds of static two-dimensional crack problems.In this paper we demonstrate how the method can be extended to include inertia effect.We present the calculation of dynamic mode I stress intensity factors for penny shaped cracks in a cylinder subjected to time dependent axisymmetric loading.The effect of damping is also presented.The precise time integration scheme is used to perform the time integration.Our numerical results show that the fractal-like finite element method together with the precise time step integration give very accurate dynamic stress intensity factor.