Hyperelastic material models for finite element analysis of rubber

Yeoh O. H., . Hyperelastic material models for finite element analysis of rubber. pp. 142-153. ISSN 0127-7065

Traditional design of rubber engineering components involves hand calculations assuming linear (Hookean) stress-strain behaviour. Such calculations are restricted to the simplest geometries and ignore the well-known non-linear stress-strain behaviour of rubber. Modern design methodology based on finite element analysis do not suffer from these limitations. However the use of such computer-based techniques is hampered by difficulties in describing the stress-strain behaviour of rubber in the form of suitable hyperelastic material models. This is in spite of the fact that the underlying mathematics have been well developed by the pioneering efforts of Mooney Rivlin and Ogden. This paper describes recent work that has yielded new perspectives of the Rivlin and Ogden hyperelastic material models. It suggests that rubber is best represented by a model where the shear modulus varies with strain in a relatively simple manner. While the approach has been developed as a practical solution to the problem of material characterisation for the purposes of finite element analysis it has interesting repercussions in our interpretation of the molecular basis for rubber elasticity.

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Abstract

Traditional design of rubber engineering components involves hand calculations assuming linear (Hookean) stress-strain behaviour. Such calculations are restricted to the simplest geometries and ignore the well-known non-linear stress-strain behaviour of rubber. Modern design methodology based on finite element analysis do not suffer from these limitations. However the use of such computer-based techniques is hampered by difficulties in describing the stress-strain behaviour of rubber in the form of suitable hyperelastic material models. This is in spite of the fact that the underlying mathematics have been well developed by the pioneering efforts of Mooney Rivlin and Ogden. This paper describes recent work that has yielded new perspectives of the Rivlin and Ogden hyperelastic material models. It suggests that rubber is best represented by a model where the shear modulus varies with strain in a relatively simple manner. While the approach has been developed as a practical solution to the problem of material characterisation for the purposes of finite element analysis it has interesting repercussions in our interpretation of the molecular basis for rubber elasticity.

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Item Type:	Article
AGROVOC Term:	Rubber
AGROVOC Term:	Natural rubber
AGROVOC Term:	Regression analysis
AGROVOC Term:	Formulations
AGROVOC Term:	Cross-linking
AGROVOC Term:	Experiments
AGROVOC Term:	Models
AGROVOC Term:	Elasticity
AGROVOC Term:	Agricultural engineering
Depositing User:	Ms. Suzila Mohamad Kasim
Last Modified:	24 Apr 2025 06:28
URI:	http://webagris.upm.edu.my/id/eprint/23344

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