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

S. Candiotti, J. L. Mantari

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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 lengthto- 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.

Original languageEnglish
Pages (from-to)331-351
Number of pages21
JournalJournal of Applied and Computational Mechanics
Volume4
Issue number4
DOIs
StatePublished - 2018

Keywords

  • Analytical modeling
  • Axiomatic-Asymptotic
  • Best plate theory
  • Refined theories
  • Shear deformation

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