Abstract
A constitutive model is developed to characterize the effective response of nonlinearly viscous porous materials. The model is capable of accounting for the effects of changes in the microstructure that occur during finite-deformation processes. The model is composed of two parts: one, instantaneous constitutive equations for the porous material, which depend on appropriate state variables characterizing the state of the microstructure at any instant and two, evolution laws for these state variables. The model is used to estimate the overall behavior of initially isotropic, linear and nonlinear, viscous porous materials under different finite-deformation programs. In particular, attention is focused on the effects of changes in the aspect ratios and orientation of the voids which cause the material response to become anisotropic. Results are also presented for the limiting case of a perfectly plastic porous material and the implications of the evolution of the microstructure on the stability of the material are studied.
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Kailasam, M., Castañeda, P.P. (1997). The Evolution of Anisotropy in Porous Materials and its Implications for Shear Localization. In: Fleck, N.A., Cocks, A.C.F. (eds) IUTAM Symposium on Mechanics of Granular and Porous Materials. Solid Mechanics and its Applications, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5520-5_33
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DOI: https://doi.org/10.1007/978-94-011-5520-5_33
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