Abstract
Recently, the authors showed that the combined method of the path-independent J' integral (dynamic J integral) and a moving isoprarametric element procedure is an effective tool for the calculation of dynamic stress intensity factors. In the moving element procedure, the nodal pattern of the elements near a crack tip moves according to the motion of the crack tip. An iterative numerical technique was used in the previous procedure to find the natural coordinates (ξ, η) were obtained by using a computerized symbolic manipulation system (REDUCE 3.2). These algebraic expressions for the inverse transformation are also very useful for the remeshing or zooming techniques often used in finite element analyses, and for the smoothing techniques in postprocessors. The present moving finite element method demonstrates its effectiveness for the simulation of fast fracture.
