Abstract

Three-dimensional voided cell calculations are carried out to investigate the effect of initially flat voids on the effective behavior of hexagonal crystals. The crystalline matrix is described using a set of constitutive relations that account for slip and twinning. In some materials, the limiting case of penny-shaped cracks better represents incipient void formation. Cell boundary conditions are such that internal necking of the intervoid ligament or void impingement are the only possible failure modes. The overall behavior of the cell is analyzed under various stress states and two loading orientations, with special attention given to the evolution of damage-relevant microstructural variables. Particular emphasis is placed on crystallographic aspects of void growth and coalescence, which often prove difficult to represent using phenomenological anisotropic plasticity models.

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