Abstract
Abstract The macroscopic response of an incompressible power-law matrix containing aligned spheroidal voids is investigated. The voids are assumed to be arranged in a uniform array, and the response of the solid is evaluated by isolating a typical block of the material containing a single void. The requisite boundary value problem for this “unit cell” is solved using a spectral method which is an adaption of that used by Lee and Mear “Axisymmetric Deformation of Power-law Solids containing Elliptical Inhomogeneities. Part I: Rigid Inclusions”, J. Mech. Phys. Solids , (1992) 8 , 1805. Attention is restricted to axisymmetric deformation, and results for the macroscopic strain-rates (or strains) are presented for a range of void shape, void volume concentrations, hardening exponents and remote stress triaxilities.
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