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

[31] On the lack of compactness in the axisymmetric neo-Hookean model
Barchiesi, Marco
Henao, Duvan
Mora-Corral, Carlos
Rodiac, Remy
FORUM OF MATHEMATICS SIGMA, 2024, 12
[32] Inhomogeneous deformations of a cone of a neo-Hookean solid
Pradeep, H
Rajagopal, KR
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (06) : 957 - 967
[33] On compressible versions of the incompressible neo-Hookean material
Pence, Thomas J.
Gou, Kun
MATHEMATICS AND MECHANICS OF SOLIDS, 2015, 20 (02) : 157 - 182
[34] Mathematical Modeling of Neo-Hookean Material Growth
P. I. Plotnikov
Doklady Mathematics, 2021, 104 : 380 - 384
[35] Mathematical Modeling of Neo-Hookean Material Growth
Plotnikov, P., I
DOKLADY MATHEMATICS, 2021, 104 (03) : 380 - 384
[36] Cauchy Problem for Incompressible Neo-Hookean Materials
Andersson, Lars
Kapitanski, Lev
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (02)
[37] CLOSING UP A HOLE IN NEO-HOOKEAN MEMBRANE
LEE, TP
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1993, 31 (12) : 1589 - 1602
[38] Deformations of neo-Hookean elastic wedge revisited
Walton, JR
Wilber, JP
MATHEMATICS AND MECHANICS OF SOLIDS, 2004, 9 (03) : 307 - 327
[39] GENERAL DEFORMATIONS OF NEO-HOOKEAN MEMBRANES.
Yang, W.H.
Lu, C.H.
1600, (40 Ser E):
[40] Cauchy Problem for Incompressible Neo-Hookean Materials
Lars Andersson
Lev Kapitanski
Archive for Rational Mechanics and Analysis, 2023, 247

← 1 2 3 4 5 →