Abstract
This paper summarizes recent theoretical and computational studies on the dynamic J integrals ( J′) and the moving-finite-element procedures for the simulation of dynamic crack propagation. The following topics are included: (i) invariance of the elastodynamic J integral ( J′), with respect to the shape of an infinitesimal process zone, (ii) a component-separation method for determining the mixed-mode stress-intensity factors using the path-independent integrals J′ k ( k = 1,2), (iii) the moving-finite-element method aided by computerized symbolic manipulation, and (iv) a concept of an element-controlling plane based on Lagrangian-element mapping, for the simulation of dynamic crack-curving. Pertinent numerical results in each topic are also included.
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