Constitutive model examines microstructure in nonlinearly viscous porous materials under triaxial loading, suggesting implications for stress behavior.
A constitutive model for the effective behavior of nonlinearly viscous, porous materials which can take into account the evolution of the microstructure is developed. The model is formulated in terms of the instantaneous constitutive equation for the porous material along with evolution equations for suitably identified microstructural variables. For the case of triaxial loading, the porosity and the aspect ratio of the voids are considered as the variables which characterize the microstructure. The evolution of the microstructure of the nonlinearly viscous solid is studied for two different types of axisymmetric loading conditions: mixed and traction loading conditions. The effect of the nonlinearity on the overall stress-strain relation as the microstructure evolves is analyzed.
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Kailasam et al. (1995) studied this question.
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