Abstract

A slice synthesis methodology is developed and used to construct a weight function based strip-yield model for a semi-elliptical part-through surface flaw in an elastic–perfectly plastic body under monotonic loading. The model enables rapid approximate computation of the crack surface displacements and the crack front plastic zone size in the crack plane. A detailed mathematical description of the model is presented. Crack surface displacements from the model are shown to compare well with results from detailed three-dimensional elastic–plastic finite element analyses. From the finite element analyses, the crack plane plastic zone is shown to give an unrealistic perspective of overall crack front plasticity.

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