On the existence of surface waves and the propagation of plate waves in pre-stressed fibre-reinforced composites

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 9, 1998, Pages 1581-1612

  Rogerson, G A ^a  

^a UNIVERSITY OF SALFORD   (United Kingdom)

Author keywords

A. Waves; B. Fibre reinforced composite plates; C. Stability and bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); CONTINUUM MECHANICS; DISPERSION (WAVES); HARMONIC ANALYSIS; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); PRESTRESSED MATERIALS; SHEAR WAVES; SURFACE WAVES; TENSILE STRESS; WAVE TRANSMISSION;

CONTINUUM MATERIAL MODELS;

FIBER REINFORCED MATERIALS;

EID: 0032157793     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00089-6     Document Type: Article

References (18)

1. Baylis, E. R. and Green, W. A. (1986) Flexural waves in fibre-reinforced laminated plates. Journal of Sound and Vibration 110(1), 1-26.
2. Chadwick, P. (1995) Interfacial waves in an inextensible elastic composite. Int. J. Engng Sci. 33(9), 1273-1287.
3. Chadwick, P. and Captain, V. S. (1986) Surface waves in a transversely isotropic elastic body. Q. J. Mech. Appl. Math. 39, 327-342.
4. Chadwick, P. and Whitworth, A. M. (1986) Exceptional waves in a constrained elastic body. Q. J. Mech. Appl. Math. 39, 309-325.
5. Dowaikh, M. A. and Ogden, R. W. (1990) On surface waves and deformations in a pre-stressed incompressible elastic solid. IMA Journal of Applied Mathematics 44, 261-284.
6. Everstine, G. C. and Pipkin, A. C. (1971) Stress chanelling in transversely isotropic elastic composites. Z. Agnew. Math. Phys. 22, 825-834.
7. Gilbert, F. and Backus, G. E. (1966) Propagator matrices in elastic wave and vibration problems. Geophysics 31, 326-3332.
8. Green, W. A. (1982) Bending waves in strongly anisotropic elastic plates. Q. J. Mech. Appl. Math. 35, 485-507.
9. Green, W. A. (1991) Reflection and transmission phenomena of transient stress waves in fibre composite laminates. In Review of Progress in Quantitative Non-Destructive Evaluation, ed. D. O. Thompson and D. E. Chimenti, Vol. 10B, pp. 1407-1414. Plenum Press, New York.
10. Hayes, M. A. and Rivlin, R. S. (1961) Surface waves in deformed elastic materials. Arch. ration. mech. Anal. 8, 358-380.
11. Jones, R. P. N. (1964) Transverse impact waves in a bar under conditions of plane strain elasticity. Q. J. Mech. Appl. Math. 17(4), 401-421.
12. Ogden, R. W. and Roxburgh, D. G. (1993) The effect of pre-stress on the vibration and stability of elastic plates. Int. J. Eng. Sci. 30, 1611-1639.
13. Rogerson, G. A. (1992) Penetration of impact waves in a six-ply fibre composite laminate. Journal of Sound and Vibration 158, 105-120.
14. Rogerson, G. A. (1997) Some asymptotic expansions of the dispersion relation for an incompressible, pre-stressed elastic plate. International Journal of Solids and Structures 34(22), 2785-2802.
15. Rogerson, G. A. and Fu, Y. B. (1995) An asymptotic analysis of the dispersion relation of a pre-stressed incompressible elastic plate. Acta Mechanica 111, 59-77.
16. Rogerson, G. A. and Sandiford, K. J. (1996) On small amplitude vibrations of pre-stressed laminates. Int. J. Eng. Sci. 34(8), 853-872.
17. Rogerson, G. A. and Scott, N. H. (1992) Wave propagation in singly constrained and nearly constrained elastic materials. Q. J. Mech. Appl. Math. 45(1), 77-99.
18. Spencer, A. J. M. (1972) Deformations of Fibre-Reinforced Materials. Clarendon Press, Oxford.