Analysis of shear flexible beams, using the meshless local Petrov‐Galerkin method, based on a locking‐free formulation

DOI10.1108/02644400110365888zbMath1015.74077OpenAlexW2068011481MaRDI QIDQ2726102

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Publication date: 5 August 2003

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400110365888

zbMATH Keywords

interpolationconvergencemeshless local Petrov-Galerkin methodtransverse shear straintransverse displacementtotal rotationthin beam limitlocking-free local symmetric weak formshear flexible beamsthick beam limit

Mathematics Subject Classification ID

Related Items (15)

Eliminating Shear-Locking in Meshless Methods: A Critical Overview and a New Framework for Structural Theories ⋮ MESHFREE METHODS AND THEIR COMPARISONS ⋮ Groundwater flow simulation in unconfined aquifers using meshless local Petrov-Galerkin method ⋮ A moving least squares based meshless local Petrov-Galerkin method for the simulation of contaminant transport in porous media ⋮ A stabilized quasi and bending consistent meshfree Galerkin formulation for Reissner-Mindlin plates ⋮ An EFG method for the nonlinear analysis of plates undergoing arbitrarily large deformations ⋮ Meshless analysis of Timoshenko beams based on a locking-free formulation and variational approaches. ⋮ A Moving Kriging Interpolation Meshfree Method Based on Naturally Stabilized Nodal Integration Scheme for Plate Analysis ⋮ A locking-free meshfree method for the simulation of shear-deformable plates based on a mixed variational formulation ⋮ A volume-averaged nodal projection method for the Reissner-Mindlin plate model ⋮ A locking-free meshless local Petrov-Galerkin formulation for thick and thin plates ⋮ The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method ⋮ Shear locking in one-dimensional finite element methods ⋮ Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method ⋮ A variational multiscale stabilized and locking-free meshfree formulation for Reissner-Mindlin plate problems

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