A method is developed for derivation of effective constitutive equations for porous nonlinear-elastic materials undergoing finite strains. It is shown that the effective constitutive equations that are derived using the proposed approach do not change if a rigid motion is superimposed on the deformation. An approach is proposed for the computation of effective characteristics for nonlinear-elastic materials in which pores are originated after a preliminary loading. This approach is based on the theory of superimposed finite deformations. The results of computations are presented for plane strain, when pores are distributed uniformly.
Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, August 9, 2001; final revision, June 2, 2003. Associate Editor: E. Arruda. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Levin, V. A., and Zingermann, K. M. (January 5, 2004). "Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains ." ASME. J. Appl. Mech. November 2003; 70(6): 809–816. https://doi.org/10.1115/1.1630811
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