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Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods
7.Nonlinear Waves in Solids, edited by A. Jeffrey and J. Engelbrecht (Springer- Verlag, Wien-New York, 1994).
8.G. E. Dace, R. B. Thompson, L. J. H. Brasche, D. K. Rehbein, and O. Buck, in Review of Progress in Quantitative Nondestructive Evaluation (Plenum Press, New York, 1991), Vol. 10B, pp. 1685-1692.
9.A. M. Samsonov, Strain Solitons in Solids and How to Construct Them (Chapman & Hall/CRC, Baca Raton, Florida, 2001).
11.G. A. Nariboli, J. Math. Phys. Sci. 4, 64 (1970).
12.T.W. Wright, in Proceedings of the IUTAM Symposium on Finite Elasticity, edited byD.E. Carlson and R.T. Shield (Martinus Nijhoff Publishers, The Hague, 1981), pp. 423-443.
14.T. W. Wright, Stud. Appl. Math. 72, 149 (1985).
27.K. Rasolofosan, B. Zinszner, and P. A. Johnson, Revue de l’Institut Français du Pétrole 52, 585 (1997).
28.A.V. Porubov, Amplification of Nonlinear Strain Waves in Solids (World Scientific, Singapore, 2003).
36.M.F. Hamilton and C.L. Morfey, in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, 1999), pp. 41-63.
38.A. Jeffrey and T. Kawahara, Asymptotic Methods in Nonlinear Wave Theory (Pitman, Boston, 1982).
39.S. D. Liu and S. K. Liu, Sci. China Ser. A. 35, 576 (1992).
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The present paper theoretically investigates kink and kink-like waves propagating in pre-stretched Mooney-Rivlin viscoelastic rods. In the constitutive modeling, the Cauchy stress tensor is assumed to consist of an elastic part and a dissipative part. The asymptotic method is adopted to simplify the nonlinear dynamic equations in the limit of finite-small amplitude and long wavelength. Using the reductive perturbation method, we further derive the well-known far-field equation (i.e. the KdV-Burgers equation), to which two kinds of explicit traveling wave solutions are presented. Examples are given to show the influences of pre-stretch and viscosity on the wave shape and wave velocity. It is shown that pre-stretch could be an effective method for modulating the two types of waves. In addition, such waves may be utilized to measure the viscosity coefficient of the material. The competition between the effects of pre-stretch and viscosity on the kink and kink-like waves is also revealed.
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