A new I1-based hyperelastic model for rubber elastic materials

被引：167

作者：

Lopez-Pamies, Oscar ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Mech Engn, Stony Brook, NY 11794 USA

来源：

COMPTES RENDUS MECANIQUE | 2010年 / 338卷 / 01期

关键词：

Solids and structures; Finite strain; Non-Gaussian elasticity; Polyconvexity; CONSTITUTIVE MODELS; MACROSCOPIC INSTABILITIES; MICROSTRUCTURE EVOLUTION; REINFORCED RUBBERS; LARGE DEFORMATIONS; POROUS ELASTOMERS; BEHAVIOR; GHENT; ELLIPTICITY; STABILITY;

D O I：

10.1016/j.crme.2009.12.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this Note, we propose a new hyperelastic model for rubber elastic solids applicable over the entire range of deformations. The underlying stored-energy function is a linear combination of the I-1-based strain invariants phi(I-1; alpha) = (I-1(alpha) - 3(alpha))/(alpha 3(alpha-1)), where alpha is a real number. The predictive capabilities of the model are illustrated via comparisons with experimental data available from the literature for a variety of rubbery solids. in addition, the key theoretical and practical strengths of the proposed stored-energy function are discussed. (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：3 / 11

页数：9

共 32 条

[21] Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber [J].

Meunier, L. ;

Chagnon, G. ;

Favier, D. ;

Orgeas, L. ;

Vacher, P. .

POLYMER TESTING, 2008, 27 (06) :765-777

[22]

MIEHE C, 1995, EUR J MECH A-SOLID, V14, P697

[23] LARGE DEFORMATION ISOTROPIC ELASTICITY - CORRELATION OF THEORY AND EXPERIMENT FOR INCOMPRESSIBLE RUBBERLIKE SOLIDS [J].

OGDEN, RW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 326 (1567) :565-&

[24] A pseudo-elastic model for the Mullins effect in filled rubber [J].

Ogden, RW ;

Roxburgh, DG .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1988) :2861-2877

[25] A note on the gent model for rubber-like materials [J].

Pucci, E ;

Saccomandi, G .

RUBBER CHEMISTRY AND TECHNOLOGY, 2002, 75 (05) :839-851

[26] LARGE ELASTIC DEFORMATIONS OF ISOTROPIC MATERIALS .7. EXPERIMENTS ON THE DEFORMATION OF RUBBER [J].

RIVLIN, RS ;

SAUNDERS, DW .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1951, 243 (865) :251-288

[27]

Treloar L.R.G., 2005, The Physics of Rubber Elasticity

[28] Stress-strain data for vulcanised rubber under various types of deformation. [J].

Treloar, LRG .

TRANSACTIONS OF THE FARADAY SOCIETY, 1944, 40 :0059-0069

[29] The elasticity of a network of longchain molecules - II. [J].

Treloar, LRG .

TRANSACTIONS OF THE FARADAY SOCIETY, 1943, 39 :0241-0246

[30] Constitutive equations for isotropic rubber-like materials using phenomenological approach: A bibliography (1930-2003) [J].

Vahapoglu, Vahap ;

Karadeniz, Sami .

RUBBER CHEMISTRY AND TECHNOLOGY, 2006, 79 (03) :489-499

← 1 2 3 4 →