Some asymptotic expansions of the dispersion relation for an incompressible elastic plate

International Journal of Solids and Structures

Volumn 34, Issue 22, 1997, Pages 2785-2802

  Rogerson, G A ^a  

^a UNIVERSITY OF SALFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); ELASTIC WAVES; FUNCTIONS; HARMONIC ANALYSIS; NUMERICAL ANALYSIS; STRUCTURAL ANALYSIS; WAVE TRANSMISSION;

DISPERSION RELATION; INCOMPRESSIBLE ELASTIC PLATE;

PLATES (STRUCTURAL COMPONENTS);

EID: 0031211504     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00218-1     Document Type: Article

References (8)

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2. Ogden, R. W. (1984) Non-linear Elastic Deformations. Ellis Horwood, New York.
3. Ogden, R. W. and Roxburgh, D. G. (1993) The effect of pre-stress on the vibration and stability of elastic plates. International journal of Engineering Science 30, 1611-1639.
4. Ogden, R. W. and Sotiropoulos, D. A. (1995) On interfacial waves in pre-stressed layered incompressible solids. Proceedings of the Royal Society London A450, 319-341.
5. Rogerson, G. A. (1992) Penetration of impact waves in a six-ply fibre composite laminate. Journal of Sound and Vibration 158, 105-120.
6. 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.
7. Rogerson, G. A. and Sandiford, K. J. (1996) On small amplitude vibrations of pre-stressed laminates. International Journal of Engineering Science 34(8), 853-872.
8. Sheridan, P. M., James, F. O. and Miller, T. S. (1992) Design of components. In Engineering With Rubber (ed. A. N. Gent), pp. 209-235. Hanser, Munich.