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Radiation conditions and uniqueness for stationary oscillations in elastic plates
Author(s):
Christian
Constanda
Journal:
Proc. Amer. Math. Soc.
126
(1998),
827-834.
MSC (1991):
Primary 35J55, 73K10, 73C15, 73D30
MathSciNet review:
1443820
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Abstract:
Sommerfeld-type radiation conditions are indicated for the solutions of the system governing the small stationary oscillations in plates with transverse shear deformation, and a uniqueness theorem is proved in the case of the corresponding exterior Dirichlet and Neumann problems.
References:
- 1.
- V.D. Kupradze et al., Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity, North-Holland, Amsterdam, 1979. MR 80h:73002
- 2.
- C. Constanda, A mathematical analysis of bending of plates with transverse shear deformation, Pitman Res. Notes Math. Ser. 215, Longman, Harlow, 1990. MR 91m:73016
- 3.
- P. Schiavone and C. Constanda, Oscillation problems in thin plates with transverse shear deformation, SIAM J. Appl. Math. 53 (1993), 1253-1263. MR 94g:73029
- 4.
- V.I. Smirnov, A course of higher mathematics, vol. 4, Pergamon Press, Oxford, 1964. MR 90k:00002c
- 5.
- C. Constanda and P. Schiavone, Flexural waves in Mindlin-type plates, Z. Angew. Math. Mech. 74 (1994), 492-493. CMP 95:03
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Additional Information:
Christian
Constanda
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow, United Kingdom
Email:
c.constanda@strath.ac.uk
DOI:
10.1090/S0002-9939-98-04224-5
PII:
S 0002-9939(98)04224-5
Received by editor(s):
April 30, 1996
Received by editor(s) in revised form:
September 9, 1996
Additional Notes:
This work was supported in part by a grant from the Carnegie Trust for the Universities of Scotland
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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