Journal
JOURNAL OF ELASTICITY
Volume 95, Issue 1-2, Pages 99-105Publisher
SPRINGER
DOI: 10.1007/s10659-009-9193-5
Keywords
Homogenization methods; Porous materials; Finite strain; Polyconvexity
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Making use of the particulate microgeometries of Idiart (J. Mech. Phys. Solids 56:2599-2617, 2008), we derive an exact and closed-form result for the macroscopic response of porous Neo-Hookean solids with random microstructures. The stored-energy function is a solution to a Hamilton-Jacobi equation with initial porosity and macroscopic deformation gradient playing the roles of time and space. The main theoretical and practical aspects of the result are discussed.
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