S. Candiotti - Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Medrano Silva ۱۶۵, Barranco, Lima, Perú
J.L. MANTARI - Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Medrano Silva ۱۶۵, Barranco, Lima, Perú| Department of Mechanical Engineering, University of New Mexico, Albuquerque ۸۷۱۳۱, USA

This paper presents Best Theory Diagrams (BTDs) constructed from various non-polynomial theories for the static analysis of thick and thin symmetric and asymmetric cross-ply laminated plates. The BTD is a curve that provides the minimum number of unknown variables necessary for a fixed error or vice versa. The plate theories that belong to the BTD have been obtained by means of the Axiomatic/Asymptotic Method (AAM). The different plate theories reported are implemented by using the Carrera Unified Formulation (CUF). Navier-type solutions have been obtained for the case of simply- supported plates loaded by a bisinuisoidal transverse pressure with different length-to-thickness ratios. The BTDs built from non-polynomials functions are compared with BTDs using Maclaurin expansion. The results suggest that the plate models obtained from the BTD using non-polynomial terms can improve the accuracy obtained from Maclaurin expansions for a given number of unknown variables of the displacement field.

Shear deformation, Best plate theory, Axiomatic–Asymptotic, Refined theories, Analytical modeling