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 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.