Journal article


More Hyperelastic models for rubber-like materials: Consistent tangent operators and Comparative Study


Publication Details
Author(s): Mokarram H, Steinmann P
Publisher: Freund Publishing House Ltd.
Publication year: 2013
Volume: 22
Pages range: 27-50
ISSN: 0334-8938
Language: English

Abstract

Rubber-like materials can deform largely and nonlinearly upon loading, and they return to the initial configuration when the load is removed. Such rubber elasticity is achieved due to very flexible long-chain molecules and a three-dimensional network structure that is formed via cross-linking or entanglements between molecules. Over the years, to model the mechanical behavior of such randomly oriented microstructures, several phenomenological and micromechanically motivated network models for nearly incompressible hyperelastic polymeric materials have been proposed in the literature. To implement these models for polymeric material (undoubtedly with widespread engineering applications) in the finite element framework for solving a boundary value problem, one would require two important ingredients, i.e., the stress tensor and the consistent fourth-order tangent operator, where the latter is the result of linearization of the former. In our previous work, 14 such material models are reviewed by deriving the accurate stress tensors and tangent operators from a group of phenomenological and micromechanical models at large deformations. The current contribution will supplement some further important models that were not included in the previous work. For comparison of all selected models in reproducing the well-known Treloar data, the analytical expressions for the three homogeneous defomation modes, i.e., uniaxial tension, equibiaxial tension, and pure shear, have been derived and the performances of the models are analyzed.



How to cite
APA: Mokarram, H., & Steinmann, P. (2013). More Hyperelastic models for rubber-like materials: Consistent tangent operators and Comparative Study. Journal of the Mechanical Behavior of Materials, 22, 27-50. https://dx.doi.org/10.1515/jmbm-2012-0007

MLA: Mokarram, Hossain, and Paul Steinmann. "More Hyperelastic models for rubber-like materials: Consistent tangent operators and Comparative Study." Journal of the Mechanical Behavior of Materials 22 (2013): 27-50.

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