Plane stress crack growing steadily in metal foams

In this paper a continuum constitutive model proposed by Deshpande and Fleck is developed to solve the crack problem of metal foams in which the effects of cells can be concluded as compressible plasticity. The asymptotic analysis of near tip field for plane stress Mode-I crack growing steadily in metal foams has been performed by using singular perturbation expansion, and the lowest order perturbation solution of the stress and deformation velocity fields is obtained. The work presents an analytic approach for calculating slowly extending crack-tip fields in metal foams.