Plane waves in an inhomogeneous hyperelastic solid

Transactions of the Canadian Society for Mechanical Engineering

Volumn 20, Issue 3, 1996, Pages 293-302

  Haddow, J B ^a   Jiang, L ^b  

^a UNIVERSITY OF VICTORIA   (Canada)

^b Martec Limited   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; SHOCK WAVES; SOLIDS; TENSILE PROPERTIES; WAVE TRANSMISSION;

INHOMOGENEOUS HYPERELASTIC SOLID; PLANE WAVES; SECOND ORDER GODUNOV TYPE FINITE DIFFERENCE SCHEME; SHOCK FREE SOLUTION;

ELASTICITY;

EID: 0029752169     PISSN: 03158977     EISSN: None     Source Type: Journal    
DOI: 10.1139/tcsme-1996-0017     Document Type: Article

References (8)

1. Bland, D.R., Nonlinear Dynamic Elasticity, Blaisdell. 1969.
2. Haddow, J.B., Nonlinear Hyperbolic Waves in Hyperelastic Solids, Proceedings of the IUTAM Symposium on Nonlinear Waves in Solids, Victoria B.C. Canada, August, 1993 Ed. J.L.and F.R. Norwood.
3. Wegner, J.L.and Haddow, J.B. Unloading Waves in a Plucked Hyperelastic String, ASME J. Appl. Mech., 56, pp 137-143, 1989.
4. Antman, S.S., Nonlinear Problems in Elasticity, Springer-Verlag. 1995.
5. Whitham, G.B., Linear and Nonlinear Waves, Wiley. 1974.
6. van Leer, B., Towards the Ultimate Conservative Difference Scheme, V, a Second Order Sequel to Godunov's Method, J. Comp.Phys. 32, pp.101-136. 1979.
7. Jiang, L., Application of the Taylor-Galerkin Finite Element and Godunov Finite Difference Method to Axisymmetric Waves in Hyperelastic Membranes, J. Sound and Vibration, 192, pp.223-244. 1996.
8. Roe, P.L. Approximate Riemann Solvers, Parametric Vectors and Difference Schemes, J. of Comp. Phys., 43, pp.357-372. 1981.