The ultimate goal of the research reported in this paper is to provide the basis of a computational procedure for plastic dynamic crack propagation in structures of engineering interest. The results might be used to construct a special crack tip element in a finite element or other numerical analysis procedure. The prerequisite for such a development is knowledge of the nature of the crack tip singularity. This can be obtained via an asymptotic analysis in which attention is focused on the very near crack tip region. The material model used in this work is based on Prandtl-Reuss incremental plasticity with a bilinear stress-strain relation. Irreversible material unloading behind the crack tip is specifically allowed. This formulation leads to a set of three first-order ordinary differential equations that are nonlinear with variable coefficients. Therefore, a numerical solution was necessary. 37 refs.
|Original language||English (US)|
|Number of pages||22|
|Journal||[No source information available]|
|State||Published - Dec 1 1978|
ASJC Scopus subject areas