Abstract
Summary A uniformly growing elastic-plastic crack tip is investigated by the aid of a finite element mesh that is moving with the crack tip through the material. At the boundary of the mesh singular elastic conditions are applied, characterized by the stress-intensity factor K. The macroscopic differences between the static and the steadily growing plastic zone at a crack tip are evaluated as functions of the work-hardening properties of the material, and the results are used to discuss the degree of applicability of static crack solutions to moving crack situations. The J-integral may be modified to yield an expression for the irreversible energy released to the region at the crack tip under steady-state conditions. The division of this energy into one part absorbed by plastic dissipation and another part transferred to the non-continuous fracture zone at the actual crack tip is investigated. The finite element representation uses incremental loading and successive relaxation of crack tip nodal forces to model the situation, together with a material description that includes isotropic work-hardening.
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