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Meshfree analysis of functionally graded plates with a novel four-unknown arctangent exponential shear deformation theory

Vu, T-V; Nguyen-Van, H; Nguyen, CH; Nguyen, T-P; Curiel-Sosa, JL

Authors

T-V Vu

H Nguyen-Van

CH Nguyen

T-P Nguyen

JL Curiel-Sosa



Abstract

A novel refined arctangent exponential shear deformation theory (RAESDT) is presented for analysis the mechanical behavior of both isotropic and sandwich FGM plates. Material properties are set to be isotropic at each point and varied across the thickness direction obeying to a power-law distribution of the volume fraction gradation with respect to FGM core or skins of the plate. Unlike high-order shear deformation plate theories based on five or more variables, the displacement field of the novel RAESDT using arctangent exponential variations in planed displacements were approximated by only four unknowns, satisfying naturally tangential stress-free conditions at the plate surfaces and leading to reduce computational efforts. In accordance with RAESDT and enhanced moving kriging interpolation (EMKI)-based meshfree method with a new quadrature correlation function is introduced for the numerical modeling. Numerical validations with different plate configurations, geometries, length to thickness ratios and boundaries conditions are conducted. The obtained results are compared with the corresponding solutions available in the literature showing the accuracy and efficiency of the present approach.

Citation

Vu, T., Nguyen-Van, H., Nguyen, C., Nguyen, T., & Curiel-Sosa, J. (2021). Meshfree analysis of functionally graded plates with a novel four-unknown arctangent exponential shear deformation theory. Mechanics Based Design of Structures and Machines, https://doi.org/10.1080/15397734.2020.1863227

Journal Article Type Article
Acceptance Date Dec 9, 2020
Online Publication Date Jan 8, 2021
Publication Date Jan 8, 2021
Deposit Date Mar 25, 2022
Journal Mechanics Based Design of Structures and Machines
Print ISSN 1539-7734
Electronic ISSN 1539-7742
Publisher Taylor and Francis
DOI https://doi.org/10.1080/15397734.2020.1863227
Publisher URL https://doi.org/10.1080/15397734.2020.1863227
Related Public URLs http://www.tandf.co.uk/journals/titles/15397734.asp
Additional Information Access Information : The Accepted Manuscript for this article is available at: https://eprints.whiterose.ac.uk/182944/
Funders : Vietnam National Foundation for Science and Technology Development (NAFOSTED)
Grant Number: 107.01-2018.319