A Theory of Porous Plasticity at Low Triaxialityby Y. P. Qiu, Rutgers Univ, New Brunswick, United States,
G. J. Weng, Rutgers Univ, New Brunswick, United States,
Abstract: A simple multiaxial theory of plasticity which is capable of taking into account the influence of pore shape at low concentration is developed for an isotropic porous material at a triaxiality level which is equal to or less than that of pure tension. Consistent with the known elastic behavior, pores of spherical shape are found to cause the least weakening effect on the overall elastoplastic response, whereas the disc-shaped pores are found to be most damaging. When the matrix is elasticity incompressible, the stress-strain relation of the porous material containing spherical pores also coincides exactly with that derived from Willis' (1990) type-1 upper bound. Comparison with the finite element calculations and other models further indicates that the present theory, despite its simplicity, is quantitatively quite accurate.
Subject Headings: Porous media | Stress strain relations | Plasticity | Elastic analysis | Model accuracy | Isotropy | Ultimate strength | Elastoplasticity
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