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Publicações
Mantari, J.L. e Guedes Soares, C. (2014), “A trigonometric plate theory with 5-unknows and stretching effect for advanced composite plates”, Composite Structures, Vol. 107, pp. 396-405
A simple but accurate trigonometric plate theory (TPT) for the bending analysis of functionally graded single and sandwich plates is presented. The significant feature of this formulation is that, in addition to including stretching, it deals only with 5 unknowns as the first order shear deformation theory (FSDT), instead of 6 in the well-known TPTs. The TPT possess in-plane and transverse shear strain shape functions (sin(mz) and cos(nz)) containing the parameters “m” and “n” that are selected properly. The governing equations and boundary conditions are derived by employing the principle of virtual work. A Navier-type closed-form solution is obtained for functionally graded single and sandwich plates subjected to bi-sinusoidal load for simply supported boundary conditions. Numerical results of the present TPT are compared with the FSDT, other quasi-3D higher order shear deformation theories (HSDTs), and 3D solutions. The important conclusions that emerge from the present numerical results suggest that: (a) for polynomial graded plates the present TPT produces as good results as refined quasi-3D HSDTs, however (b) for exponentially graded plates the present TPT produces improved results; (c) it is possible to gain accuracy keeping the unknown’s constant but by selecting properly the parameter “m” and “n”.
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