Finite amplitude azimuthal shear waves in a compressible hyperelastic solid

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 2, 2001, Pages 145-152

  Haddow, J B ^a   Jiang, L ^b  

^a UNIVERSITY OF VICTORIA   (Canada)

^b Martec Limited   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008486060     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1334862     Document Type: Article

References (11)

1. Polignone, D. A., and Horgan, C. O., 1994, “Pure Azimuthal Shear of Compressible Nonlinear Elastic Circular Tubes,” Q. Appl. Math., 52, pp. 113-131.
2. Beatty, M. F., and Jiang, Q., 1997, “On Compressible Materials Capable of Sustaining Axisymmetric Shear Deformation. Part 2, Rotational Shear of Isotropic Hyperelastic Materials,” Q. J. Mech. Appl. Math., 50, pp. 211-237.
3. Jiang, X., and Ogden, R. W., 1998, “On Azimuthal Shear of a Circular Cylindrical Tube of Compressible Elastic Material,” Q. J. Mech. Appl. Math., 51, pp. 143-158.
4. Vandyke, T. J., and Wineman, A. S., 1996, “Small Amplitude Sinusoidal Disturbances Superimposed on Finite Circular Shear of a Compressible, NonLinearly Elastic Material,” Int. J. Eng. Sci., 34, pp. 1197-1210.
5. Haddow, J. B., and Jiang, L., 1996, “A Study of Finite Amplitude Plane Wave Propagation in a Rubber-Like Solid,” Wave Motion, 24, pp. 211-225.
6. Blatz, P. J., and Ko, W. L., 1962, “Application of Finite Elasticity to the Deformation of Rubbery Materials,” Trans. Soc. Rheol., 6, pp. 223-251.
7. Levinson, M., and Burgess, I. W., 1971, “A Comparison of Some Simple Constitutive Relations for Slightly Compressible Rubberlike Materials,” Int. J. Mech. Sci., 13, pp. 563-572.
8. Beatty, M. F., and Stalnacker, D. O., 1986, “The Poisson Function of Finite Elasticity,” ASME J. Appl. Mech., 53, pp. 807-813.
9. Whitham, G. B., 1974, Linear and Nonlinear Waves, John Wiley and Sons, New York.
10. van Leer, B., 1979, “Towards the Ultimate Conservative Difference Scheme, V. A Second-Order Sequel to Godunov’s Method,” J. Comput. Phys., 32, pp. 101-136.
11. Sod, G. A., 1985, Numerical Methods in Fluid Mechanics, Cambridge University Press, London.