The Green’s tensors are constructed and the existence of discrete real spectra is proved for the displacement and traction boundary value problems in the case of a finite elastic plate with transverse shear deformation undergoing high-frequency vibrations.
Constanda, C.Radiation conditions and uniqueness for stationary oscillations in elastic plates. Proceedings of the American Mathematical Society, 126, 827-834 (1998).
2.
Constanda, C.A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation , Longman- Wiley, Harlow- New York, 1990.
3.
Schiavone, P. and Constanda, C.Oscillation problems in thin plates with transverse shear deformation. SIAM Journal of Applied Mathematics, 53, 1253-1263 (1993).
4.
Thomson, G.R. and Constanda, C.Smoothness properties of Newtonian potentials in the study of elastic plates. Applicable Analysis, in press.
5.
Thomson, G.R. and Constanda, C.Representation theorems for the solution of high frequency harmonic oscillations in elastic plates. Applied Mathematics Letters, 11, no. 555-59 ( 1998).
6.
Thomson, G.R. and Constanda, C.Area potentials for thin plates. Analele Stiintif ice Al. I. Cuza University Iasi Ia Matematica, 44, 235-244 (1998).
7.
Courant, R. and Hilbert, D.Methods of Mathematical Physics, Volume I, Interscience , New York, 1953.
