A modified shear deformation theory associated with the four-node quadrilateral element for bending and free vibration analyses of plates

Lan Hoang That Ton

Authors

Lan Hoang That Ton University of Architecture HCMC https://orcid.org/0000-0002-5195-1856

Keywords:

Modified shear deformation theory, Four-node quadrilateral element, Bending, Free vibration, Plate

Abstract

Few years ago, the higher-order shear deformation theory of Shi was proven effective in the analysis of structures. In this paper, the author introduces a modification of above theory combined with four-node quadrilateral elements for bending and free vibration analyses of plates. Shear correction factor is not required here. The acceptable results obtained from the proposed element are a necessary prerequisite for the development of other problems in the near future.

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