DYNAMIC ANALYSIS OF A PENNY-SHAPED CRACK BY THE FRACTAL-LIKE FINITE ELEMENT METHOD

摘要

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.