Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains

[+] Author and Article Information
V. A. Levin

Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia

K. M. Zingermann

Department of Applied Mathematics and Computer Science, Tver State University, Tver 170000, Russia

J. Appl. Mech 70(6), 809-816 (Jan 05, 2004) (8 pages) doi:10.1115/1.1630811 History: Received August 09, 2001; Revised June 02, 2003; Online January 05, 2004
Copyright © 2003 by ASME
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Three-dimensional case: the representative volume is a rectangular prism
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Two-dimensional case: the representative area is a parallelogram
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Effective linear elastic moduli λe,Ge referred to the correspondent matrix moduli versus porosity. λ/G=2.
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Coefficients ai versus porosity for λ/G=2. The plots for the case when pores are originated in previously loaded materials are marked by circles.
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Coefficients b33,b55, and b64 versus porosity for λ/G=2
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Coefficients b34,b35,b53,b54,b63, and b65 versus porosity for λ/G=2
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Effective elastic moduli versus porosity for the porous organic glass
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Relation between porosity and the critical stretch ratio lmin at which the loss of ellipticity takes place in compression




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