CRACK-PROPAGATION IN POROUS HARDENING METALS

Steady-state and quasi-static rectilinear crack propagation is analyze d in porous elastoplastic solids obeying the Gurson yield condition an d flow-law. Both plane strain and plane stress conditions are consider ed under Mode I and Mode II loading conditions. The asymptotic crack-t ip fields are obtained with reference to the incremental small strain theory in the case of linear isotropic hardening behavior of the matri x material. The porosity of the material is assumed constant, therefor e the elastoplastic constitutive operator results in being self-adjoin t. Elastic unloading and plastic reloading on crack flanks are taken i nto account.