A polygonal finite element method for laminated composite plates

Nam V. Nguyen, Hoang X. Nguyen, Duc Huynh Phan, H. Nguyen-Xuan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this study, a polygonal finite element method (PFEM) is extended and combined with the C0-type higher-order shear deformation theory (C0-HSDT) for the static and free vibration analyses of laminated composite plates. Only the piecewise-linear shape function which is constructed based on sub-triangles of polygonal element is considered. By using the analogous technique which relies on the sub-triangles to calculate numerical integration over polygonal elements, the procedure becomes remarkably efficient. The assumption of strain field along sides of polygons being interpolated based on Timoshenko's beam leads to the fact that the shear locking phenomenon can be naturally avoided. In addition, the C0-HSDT theory, in which two additional variables are included in the displacement field, significantly improves the accuracy of the displacements and transverse shear stresses. Numerical examples are provided to illustrate the efficiency and reliability of the proposed approach.

Original languageEnglish
Pages (from-to)863-882
Number of pages20
JournalInternational Journal of Mechanical Sciences
Volume133
Early online date23 Sep 2017
DOIs
Publication statusPublished - 1 Nov 2017

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