Abstract
In this paper, we present the details of the solution of one of three problems obtained via the application of a coupled solid/fluids mixture theory developed recently by Chen. The problem is that of the process of squeezing a sponge. A fluid saturated solid is sandwiched between two infinitely stiff plates, one plate is held fixed and the other applies increasing pressure at its interface with the solid. Results concerning the stress of the solid, volume fraction, bulk density, chemical potential and pressures of the fluid, and the characteristics of fluid mass discharge are reported. The results are consistent with our expectations and experiences.
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References
C. Truesdell, Sulle basi della termomeccanica, Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8) 22 (1957) 33–38, 158–166.
R.M. Bowen, Compressible porous media models by use of the theory of mixtures. Int. J. Engng Sci. 20 (1982) 697–735.
P.J. Chen, A coupled solid/fluids mixture theory that suffices for diffusion problems. J. Elasticity 45 (1996) 117–133.
P.J. Chen and D.K. Rudeen, Clarifications and further implications of the concept of motion in mixture theories. J. Elasticity 45 (1996) 135–137.
Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behavior of multiphase materials. J. Mech. Phys. Solids 11 (1963) 127–140.
S. Nemat-Nasser, T. Iwakuma and M. Hejazi, On composites with periodic structure. Mech. Materials 1 (1982) 239–267.
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Chen, P.J., Rudeen, D.K. Application of a coupled solid/fluids mixture theory: Process of squeezing a sponge. J Elasticity 45, 139–152 (1996). https://doi.org/10.1007/BF00042488
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DOI: https://doi.org/10.1007/BF00042488