International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 1, Pages 177-186

Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids

P. Pal Roy1 and L. Debnath2

1Blasting Department, Central Mining Research Station, Barwa Road, Dhanbad 826 001, India
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Received 9 September 1985; Revised 30 January 1987

Copyright © 1988 P. Pal Roy and L. Debnath. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with a simplified dynamical analysis of orthotropic viscoelastic plates that are made up of an arbitrary number of layers each of which is a Maxwell type solid. This study includes the case where some or all the layers are themselves constituted by thinly laminated materials with couple stresses. The recurrence equations for the shear stresses are obtained for an arbitrary number of layers and then applied to plates with two or three layers. The viscoelastic damping effect is determined by the process of linearization and then illustrated by a plate composed of one, two or three layers. It is found that the damping increases with anisotropy and wave number. These results are shown by graphical representations.