Abstract

The Dugdale-Bilby-Cottrell-Swinden (DBCS) model [1,2], in which plastic deformation at the tip of a crack is represented by a strip yield zone coplanar with the cracks, has been used extensively when diScussin~ the conditions for the onset of fracture at the tip of a crack in an elasticplastic solid. With a two-dimensional crack of length 2c situated within an infinite solid that is subject to an applied tensile stress a normal to the crack plane (this model also approximately simulates the behaviour of an edge crack of depth c in the surface of a semi-infinite solid), the key results are that the size R of the plastic zone is given by the relation

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