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Publications
Oktem, A.S., Chaudhuri, R.A. and Guedes Soares, C. (2009), “A Higher Order Shear Deformation Theory based Fourier Solutions for Fully Clamped General Cross-ply Plates”, Proceeding of the 15th International Conference on Composite Structures (ICCS15), 14-17 June, Porto, Portugal
A heretofore-unavailable Fourier solution to the problem of deformation of a fully (rigidly) clamped finite-dimensional general cross-ply thick rectangular plate, modeled using a higher order shear deformation theory (HSDT), is presented. The solution methodology is based on a boundary-discontinuous generalized double Fourier series approach, which is used to solve a self-adjoint system of five highly coupled linear partial differential equations, generated by the HSDT-based laminated plate analysis, in conjunction with the C4-type rigidly clamped boundary condition prescribed at all four edges. Majority of the existing solutions employ the Navier or Levy method, which are based on the well-known separation variables technique and require a specific simply supported boundary condition, termed SS3 here, to be prescribed on all four edges or two opposite edges, respectively. The numerical accuracy of the present solution is ascertained by studying the convergence characteristics of deflections and moments of a cross-ply plate, and also by comparing with its thin and moderately thick plate counterparts available in the literature. Finally, the present results are compared with those computed by performing a finite element analysis (using a commercial program), thus validating the accuracy of both sets of results. Important numerical results presented here include sensitivity of the predicted response quantities of interest to lamination, material property, thickness effects and boundary constraint as well as their interactions.
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