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.

引用

页码：99 / 105

页数：7

共 50 条

[41] VOLUMETRIC GROWTH OF NEO-HOOKEAN INCOMPRESSIBLE MATERIAL
Plotnikov, P., I
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2020, 17 : 1990 - 2027
[42] Neo-Hookean Machine-Tools Foundations
Stanescu, Nicolae-Doru
Tabacu, Stefan
PROCEEDINGS OF THE 11TH WSEAS INTERNATIONAL CONFERENCE ON MATHEMATICAL AND COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING (MACMESE '09), 2009, : 161 - +
[43] Exact solutions for the large axially symmetric deformations of a neo-Hookean rod subjected to static loads
Dai, HH
Bi, QS
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2001, 54 : 39 - 56
[44] Exact solutions for axially varying three-dimensional twist motion in a neo-Hookean solid
Novozhilova, L
Pence, TJ
Urazhdin, S
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2003, 56 : 123 - 138
[45] Influence of material non-homogeneity on the shearing response of a neo-Hookean slab
Bilgili, E
Bernstein, B
Arastoopour, H
RUBBER CHEMISTRY AND TECHNOLOGY, 2002, 75 (02): : 347 - 363
[46] Stress-free bending of a neo-Hookean plate induced by growth: Exact solution and experiments
Wang, Jiong
Wang, Qiongyu
Dai, Hui-Hui
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2018, 106 : 280 - 287
[47] Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials
Lars Andersson
Lev Kapitanski
Archive for Rational Mechanics and Analysis, 2023, 247 (3)
[48] ON RELATIVISTIC SIMPLE SHEAR OF A SLAB OF NEO-HOOKEAN MATERIAL
LIANIS, G
BLATZ, PJ
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1969, 7 (06) : 539 - &
[49] CIRCULAR SHEARING AND TORSION OF GENERALIZED NEO-HOOKEAN MATERIALS
TAO, L
RAJAGOPAL, KR
WINEMAN, AS
IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 48 (01) : 23 - 37
[50] Wrinkling phenomena in neo-Hookean film/substrate bilayers
Hutchinson, J.W. (hutchinson@husm.harvard.edu), 1600, American Society of Mechanical Engineers (ASME) (79):

← 1 2 3 4 5 →