On the Constitutive Theory of Power-Law Materials Containing Voids
In the analysis of non-linear porous solids, it is commonplace to employ a spherical unit cell owing to the simplicity it affords. The macroscopic constitutive response is then predicted based upon either uniform traction or linear displacement/velocity boundary conditions applied on the outer surface of the cell. In this investigation we carry out a careful computational investigation of the effect of these two types of boundary conditions upon the predicted macroscopic response, and in particular, we explore the sensitivity of the predicted response to the macroscopic stress state and the degree of matrix non-linearity. In addition, we contrast the accurate numerical results obtained here with various approximate constitutive models in order to provide additional insight into the predictive capabilities of these models.
Key wordsnon-linear porous solids voids micromechanics
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