An Exact Result for the Macroscopic Response of Porous Neo-Hookean Solids

被引：27
|
作者：
Lopez-Pamies, Oscar [1 ]
Idiart, Martin I. [2 ,3 ]
机构：
[1] SUNY Stony Brook, Dept Mech Engn, Stony Brook, NY 11794 USA
[2] Univ Nacl La Plata, Fac Ingn, Area Dept Aeronaut, La Plata, Buenos Aires, Argentina
[3] Univ Cambridge, Dept Engn, Ctr Micromech, Cambridge CB4 1PZ, England
来源：
JOURNAL OF ELASTICITY | 2009年 / 95卷 / 1-2期
关键词：
Homogenization methods; Porous materials; Finite strain; Polyconvexity; CONSTITUTIVE MODELS; FINITE ELASTICITY; COMPOSITES; ELASTOMERS; HOMOGENIZATION; INSTABILITIES; DEFORMATION; BEHAVIOR; STRAIN; MEDIA;
D O I：
10.1007/s10659-009-9193-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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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页码：99 / 105
页数：7
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