Bending analysis of FG plates using a general third-order plate theory with modified couple stress effect and MLPG method

Meshless local Petrov–Galerkin analysis of functionally graded plates based on a general third-order shear deformation plate theory with a modified couple stress effect is presented. Governing equations of problem are a fourth-order partial differential equations system which derived in terms of ele...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2018-09, Vol.94, p.159-171
Main Authors: Khorasani, V.S., Bayat, M.
Format: Article
Language:English
Subjects:
Functionally graded plate
General third-order plate theory
Meshless local Petrov–Galerkin method
Modified couple stress effect
Moving least-square approximation
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Summary:Meshless local Petrov–Galerkin analysis of functionally graded plates based on a general third-order shear deformation plate theory with a modified couple stress effect is presented. Governing equations of problem are a fourth-order partial differential equations system which derived in terms of eleven generalized displacement variable, by applying the principle of virtual displacements. The moving least-squares approach is used for approximation of unknown variables and the Gauss weight function is employed as test function for obtaining local weak form. The Gauss–Legendre quadrature method is utilized for numerical integration of weak equations. Static bending results of a simply-supported plate is obtained for various power law index and length scale parameter, and is compared to analytical solutions that shows high accuracy in results.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2018.06.015