Abstract
A constitutive model is developed for porous materials which is capable of taking into account the evolution of the microstructure under finite deformations. The model is formulated in terms of instantaneous constitutive equations for the porous material, which depend on certain microstructural variables which in turn are governed by appropriate evolution equations for these variables. The orientation of the voids is introduced as a new microstructural variable along with the (finite) porosity and the aspect ratios of the voids. Evolution equations for these variables are then obtained from appropriate kinematic relations and estimates for the average rate of deformation and spin in the voids. Although the formulation is general in nature and can be used for a wide variety of processes, results are given only for the plane strain deformation of a porous material with cylindrical voids dispersed in a nonlinearly viscous matrix.
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© 1996 Kluwer Academic Publishers
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Kailasam, M., Castañeda, P.P. (1996). Constitutive Relations for Porous Materials: The Effect of Changing Void Shape and Orientation. In: Pineau, A., Zaoui, A. (eds) IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials. Solid Mechanics and its Applications, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1756-9_27
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DOI: https://doi.org/10.1007/978-94-009-1756-9_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7285-4
Online ISBN: 978-94-009-1756-9
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