Comparative Analysis of Various Hyperelastic Models and Element Types for Finite Element Analysis

Author:

Lin Po-Sen1,Le Roux de Bretagne Olivier1,Grasso Marzio1ORCID,Brighton James1,StLeger-Harris Chris2,Carless Owen3

Affiliation:

1. School of Aerospace, Transport and Manufacturing, Cranfield University, Bedford MK43 0AL, UK

2. Red Bull Technology, Bradbourne Drive Tilbrook, Milton Keynes MK7 8BJ, UK

3. Red Bull Powertrains, Bradbourne Drive Tilbrook, Milton Keynes MK7 8BJ, UK

Abstract

This study aims to evaluate the precision of nine distinct hyperelastic models using experimental data sourced from the existing literature. These models rely on parameters obtained through curve-fitting functions. The complexity in finite element models of elastomers arises due to their nonlinear, incompressible behaviour. To achieve accurate representations, it is imperative to employ sophisticated hyperelastic models and appropriate element types and formulations. Prior published work has primarily focused on the comparison between the fitting models and the experimental data. Instead, in this study, the results obtained from finite element analysis are compared against the original data to assess the impact of element formulation, strain range, and mesh type on the ability to accurately predict the response of elastomers over a wide range of strain values. This comparison confirms that the element formulation and strain range can significantly influence result accuracy, yielding different responses in various strain ranges also because of the limitation with the curve fitting tools.

Publisher

MDPI AG

Subject

Industrial and Manufacturing Engineering,Mechanical Engineering,Engineering (miscellaneous)

Reference21 articles.

1. Bergstrom, J.S. (2015). Mechanics of Solid Polymers, William Andrew Publishing.

2. Constitutive Modelling of Hyperelastic Rubber-like Materials;Guo;HERON,2008

3. A Theory of Large Elastic Deformation;Mooney;J. Appl. Phys.,1940

4. Wood, R.D. (2008). Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge University Press. [2nd ed.].

5. Hyperelastic Models for Rubber-Like Materials: Consistent Tangent Operators and Suitability for Trelor’s Data;Steinmann;Arch. Appl. Mech.,2012

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