DYNAMIC CRACK-TIP FIELDS ACCORDING TO DEFORMATION THEORY.

Computations of the dynamic fields in the vicinity of a stationary crack tip are at present confined to linear elastic fracture mechanics. A few attempts to investigate crack tip plasticity under dynamic loading conditions have recently been discussed. It is shown in this note that for incompressible elastic/plastic material hardening according to a power law, the dynamic near tip fields can be expressed in a simple form in terms of the corresponding nonlinear static fields and the function f(t). Plane strain deformation is considered, and the usual linearized strain-displacement relations are employed. It is assumed that the plastic deformation is incompressible.