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In the present work, creep buckling of linear viscoelastic plate was studied. Pseudo-transient or Dynamic Relaxation method with finite element discritization was used for solving the nonlinear governing equations of the plate. The displacements were based on first order shear deformation theory. Von Karman assumptions were considered for strains, including initial imperfection of the plate. Central deflections of the rectangular PMMA plate as well as end-shortenings were obtained during the loading of the plates with simply supported and clamped edges. The results compared well with commercial finite element code ANSYS.

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Viscoelasticity is a property of materials that exhibit both viscous and elastic characteristics. In linear viscoelasticity, the stress is linearly related to the history function of strain. This paper discusses vibration analysis of functionally graded viscoelastic rectangular plate. The viscoelastic behavior of the plate is modeled using the Zener three-parameter model. Also, the material properties of the plate are graded through the thickness according to the volume fraction model. The maximum stress and strain are calculated based on the linear first-order shear deformation theory and the simply support boundary conditions is assumed at all four edges of the plate. A code is prepared using the Mathematica software to obtain the frequency values and effect of inherent and geometric characteristics of the sheet on natural frequency of the plate. These effects are studied using the tables and graphs represented in the results and discussion section of the paper. The results obtained in this paper are simplified to a functionally elastic plate to compare with those given in the literature search. The comparison of results shows good agreement against data given in literature for both cases.