Abstract
Neo-Hookean model and Mooney-Rivlin model are hyperelastic material models where the strain energy density function is made from invariants of the left Cauchy-Green deformation tensor. Even though Ogden model is a hyperelastic material model, its strain energy density function is expressed by principal stretch ratio. These three models have been widely used in industries. Recently, Ogden model, especially Ogden 3rd model, shows better agreement with the test data than others. In spite of the limitations to describe particular stress states, it is known that reasonable results using these models can be obtained for various structural components. In this research, three kinds of models are considered for Chloroprene rubber. Three kinds of tests (Uniaxial tension test, Biaxial tension test, and Planar shear test) are performed for Chloroprene specimen and through four kinds of test combinations (Uni+Bi, Uni+Pl, Bi+Pl, Uni+Bi+Pl), numerical simulations are carried out for Neo-Hookean model, Mooney-Rivlin model, and Ogden model. It is shown that Mooney-Rivlin model and Ogden model can be used for Chloroprene Rubber in the specific ranges for Isotropic Hyperelastic model.
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References
Woo, C. S., Park, H. S., Kim, Y. G., Shin, W. G. and Joe, D. H., “Finite Element Analysis and Evaluation of Automotive Rubber Components,” Proceedings of the KSAE, pp. 951–955, 2010.
Mooney, M., “A Theory of Large Elastic Deformation,” Journal of Applied Physics, Vol. 11, No. 9, pp. 582–591, 1940.
Jang, W. J., Lee, J., Woo, C. S., Kim, B. K. and Lee, S. B., “An Experimental Study and Finite Element Analysis of Weatherstrip,” Int. J. Precis. Eng. Manuf., Vol. 12, No. 1, pp. 97–104, 2011.
Boulanger, P. and Hayes, M., “Finite Amplitude Waves in Mooney-Rivlin and Hadamard Materials, in Topics in Finite Elasticity,” International Center for Mechanical Sciences, 2001.
Selvadurai, A. P. S., “Deflections of a Rubber Membrane,” Journal of the Mechanics and Physics of Solids, Vol. 54, No. 6, pp. 1093–1119, 2006.
Menderes, H. and Konter, A. W. A., “Advanced FE Analysis of Elastomeric Automobile Components under Realistic Loading Conditions,” Proceedings of the First European Conference on Constitutive Models for Rubber, pp. 3–12, 1999.
Ogden, R. W., “Non-Linear Elastic Deformations,” Dover, 1998.
Rivlin, R. S., “Large Elastic Deformations Isotropic Materials. IV. Further Developments of the General Theory,” Philosophical Transactions of the Royal Society A, Vol. 241, No. 835, pp. 379–397, 1948.
Ogden, R. W., “Large Deformation Isotropic Elasticity — On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids,” Proceedings of the Royal Society A, Vol. 326, No. 1567, pp. 565–584, 1972.
MSC Software Co., “Nonlinear Finite Element Analysis of Elastomers,” 2001.
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Kim, B., Lee, S.B., Lee, J. et al. A comparison among Neo-Hookean model, Mooney-Rivlin model, and Ogden model for chloroprene rubber. Int. J. Precis. Eng. Manuf. 13, 759–764 (2012). https://doi.org/10.1007/s12541-012-0099-y
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DOI: https://doi.org/10.1007/s12541-012-0099-y