Abstract
A theory is developed to predict the transverse isotropy for the overall elastoplastic response of a porous material containing aligned spheroidal pores. The emphasis is on the influence of pore shape on the overall behavior, and it is found that, when the pores are in a prolate shape the shape-dependence is small, but that, when they become oblate the pore-shape sensitivity is rather pronounced. The disc or penny-shaped pores are seen to cause the severest damage under the axial tension and the axial shear, out along the transverse tension, transverse shear, and biaxial plane-strain tension, penny-shaped pores provide the least weakening effect.
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