Evaluation of the best new cross-ply laminated plate theories through the Axiomatic/Asymptotic Approach

• Autores: Candiotti S., Mantari J.L.
• Formato: artículo
• Fecha de Publicación: 2018
• Institución: Consejo Nacional de Ciencia Tecnología e Innovación
• Repositorio: CONCYTEC-Institucional
• Lenguaje: inglés
• OAI Identifier: oai:repositorio.concytec.gob.pe:20.500.12390/606
• Enlace del recurso: https://hdl.handle.net/20.500.12390/606; https://doi.org/10.22055/JACM.2018.24851.1214
• Nivel de acceso: acceso abierto
• Materia: Shear deformation; Best plate theory; Axiomatic–Asymptotic; Refined theories; Analytical Modeling; https://purl.org/pe-repo/ocde/ford#2.00.00

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.