This paper deals with a dynamic stability analysis of unidirectional fiber-reinforced composite viscoelastic plates subjected to compressive edge loads. The integrodifferential equations governing the stability problem are obtained by using, in conjunction with a Boltzmann hereditary constitutive law for a 3-D viscoelastic medium, a higher-order shear deformation theory of orthotropic plates. Such a theory incorporates transverse shear deformation, transverse normal stress, and rotatory inertia effects. The solution of the stability problem as considered within this paper concerns the determination of the critical in-plane edge loads yielding the asymptotic instability. Numerical applications, based on material properties derived within the framework of Aboudi’s micromechanical model, are presented and pertinent conclusions concerning the nature of the loss of stability and the influence of various parameters are outlined.
Dynamic Stability of Unidirectional Fiber-Reinforced Viscoelastic Composite Plates
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Chandiramani, N. K., and Librescu, L. (November 1, 1989). "Dynamic Stability of Unidirectional Fiber-Reinforced Viscoelastic Composite Plates." ASME. Appl. Mech. Rev. November 1989; 42(11S): S39–S47. https://doi.org/10.1115/1.3152405
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