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

DOI10.1016/j.enganabound.2018.06.015zbMath1403.74113OpenAlexW2884621046WikidataQ129492854 ScholiaQ129492854MaRDI QIDQ1658978

Y. Aharonov

Publication date: 15 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.06.015

zbMATH Keywords

meshless local Petrov-Galerkin methodfunctionally graded platemoving least-square approximationgeneral third-order plate theorymodified couple stress effect

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Selection of size dependency theory effects on the wave's dispersions of magneto-electro-thermo-elastic nano-beam resting on visco-elastic foundation ⋮ A neural network-based approach for bending analysis of strain gradient nanoplates ⋮ Numerical research on a three-dimensional solid element based on generalized elasticity theory ⋮ A Trefftz based meshfree local method for bending analysis of arbitrarily shaped laminated composite and isotropic plates

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Microstructure-dependent couple stress theories of functionally graded beams
• A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations
• The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
• A general third-order theory of functionally graded plates with modified couple stress effect and the von Kármán nonlinearity: theory and finite element analysis
• Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• A general nonlinear third-order theory of plates with moderate thickness
• Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation
• Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Analysis of the inherent instability of the interpolating moving least squares method when using improper polynomial bases
• Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method
• Couple stress based strain gradient theory for elasticity
• Free vibration analysis of functionally graded panels and shells of revolution
• Free vibrations of three parameter functionally graded parabolic panels of revolution
• Analysis of moving least squares approximation revisited
• Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions
• Numerical Solution of System of N–Coupled NonlinearSchrödinger Equations via Two Variants of the MeshlessLocal Petrov–Galerkin (MLPG) Method
• Surfaces Generated by Moving Least Squares Methods
• The approximation power of moving least-squares
• The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis

This page was built for publication: Bending analysis of FG plates using a general third-order plate theory with modified couple stress effect and MLPG method