Abstract
This paper deals with a dynamic stability analysis of transversely isotropic viscoelastic plates subjected to in-plane biaxial edge load systems. In deriving the associated governing equations a Boltzmann hereditary constitutive law was used and, in addition, transverse shear deformation, transverse normal stress and rotatory inertia effects were incorporated. The integro-differential equations governing the stability of simply supported plates are solved by using the integral transform technique. The solution concerns the determination of the critical in-plane edge loads associated with the asymptotic instability of plates. While studying this problem the general dynamic stability solutions are compared with those based on the first-order transverse shear deformation theory and with their quasi-static counterparts. Numerical applications are presented and pertinent conclusions are formulated.
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