An Amended 8-Chain Model for Rubber-Like Materials

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A new constitutive equation for rubber-like materials model was proposed. The model is based on the Arruda-Boyce (AB) 8-chain non-Gaussian molecular network to which two new terms were added. Taking into account the effects of molecular chain entanglement and the topological constraint on the transverse motions of a single chain, the new added components combine the phenomenological theory of elasticity for rubber vulcanizates at large deformation and the tube theory for topological constraint. The new model contains five parameters which are obtained by fitting the uniaxial Treloar extension data, the predictions from the proposed model for equi-biaxial extension and pure shear are in good agreement with test data. Moreover, compared with some available models, the proposed model is more suitable for characterization of the uniaxial tension mechanical behavior of carbon black particles filled rubber material.

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288-294

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July 2017

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© 2017 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. A. Mooney, A theory of large elastic deformation. J. Appl. Phys. 11 (1940) 582-592.

Google Scholar

[2] R. S. Rivlin, Large elastic deformation of isotropic materials. I. Fundamental concepts, Philos. Trans. R. Soc. London Ser. A 240 (1948) 459-490.

Google Scholar

[3] R. S. Rivlin, Large elastic deformation of isotropic materials. IV. Further developments of the general theory, Philos. Trans. R. Soc. London Ser. A 241 (1948) 379-397.

DOI: 10.1098/rsta.1948.0024

Google Scholar

[4] A. N. Gent, A. G. Thomas, Forms of the stored (strain) energy function for vulcanized rubber, J. Poly. Sci. 28 (1958) 625-637.

DOI: 10.1002/pol.1958.1202811814

Google Scholar

[5] O. H. Yeoh, Some forms of the strain energy function for rubber, Rubber Chem. Technol. 66 (1993) 754-771.

DOI: 10.5254/1.3538343

Google Scholar

[6] H. Khajehsaeid, J. Arghavani, R. Naghdabadi, A hyperelastic constitutive model for rubber-like materials, Int. J. Solids Struct. 48 (2010) 265-274.

DOI: 10.1016/j.euromechsol.2012.09.010

Google Scholar

[7] M. R. Mansouri, H. Darijani, Constitutive modeling of isotropic hyperelastic materials in an exponential framework using a self-contained approach, Int. J. Solids Struct. 51 (2014) 4316-4326.

DOI: 10.1016/j.ijsolstr.2014.08.018

Google Scholar

[8] H. M. James, E. Guth, Theory of elastic properties of rubber, J. Chem. Phys. 11 (1943) 455-481.

Google Scholar

[9] P. J. Flory, J. Rehner Jr., Statistical mechanics of cross-linked polymer networks: I. Rubberlike elasticity, J. Chem. Phys. 11 (1943) 512–520.

DOI: 10.1063/1.1723791

Google Scholar

[10] E. M. Arruda, M. C. Boyce, A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials, J. Mech. Phys. Solids. 41 (1993) 389–412.

DOI: 10.1016/0022-5096(93)90013-6

Google Scholar

[11] M. S. Song, Relationship between the structure of networks and the mechanical properties of rubber vulcanizates (I) rubber elasticity theory for vulcanizates with carbon black fillers presenting extensive deformation, J. Chem. Eng. 1 (1988).

DOI: 10.1007/bf00955884

Google Scholar

[12] K. Martin, A 8-chain model for rubber-like materials accounting for non-affine chain deformations and topological constraints, J. Elast. 102 (2011) 99-116.

DOI: 10.1007/s10659-010-9264-7

Google Scholar

[13] R. S. Rivlin, D. W. Saunders, Large elastic deformations of isotropic materials. vii. Experiments on the deformation of rubber. Math. Phys. Sci. 243 (1951) 251-288.

Google Scholar

[14] L. R. G. Treloar, Stress-strain data for vulcanized rubber under various types of deformations, Trans. Farady Soc. 40 (1994) 59-70.

Google Scholar