A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids

By Yuantong T. Gu, Guirong Liu. 2001

204 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f4da4e6e381c708513866683753b09b27f20f4b3

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov -Galerkin method (2004, methodology): “The MLPG method has been successfully used to study twodimensional elastostatic and elastodynamic problems [33, 34], convection dominated flows [35], deformations of homogeneous plates and free and forced vibrations of a homogeneous and isotropic plate [22,37,38] static and dynamic thermoelastic def”
Lower‐bound limit analysis by using the EFG method and non‐linear programming (2008, unknown): “Some representative examples are the element-free Galerkin (EFG) method [16, 17], the meshless local Petrov–Galerkin method (MLPG) [18, 19], the reproducing kernel particle method (RKPM) [20] and the smooth particle hydrodynamics (SPH) [21].”
Comparisons of two meshfree local point interpolation methods for structural analyses (2002, methodology): “The MLPG method has been successfully used in analyses of solids (Atluri and Zhu, 1998, 2000; Atluri et al., 1999; Gu and Liu, 2001b, c). In addition, the MLPG method has also been combined with FEM and BEM (Liu and Gu, 2000b).”
The natural neighbour radial point interpolation method: dynamic applications (2009, methodology): “Considering the 2D plane stress deformation theory, the problem was analysed, for the same regular mesh discretization of 306 nodes, with the FEM-ABAQUS, with the meshless local Petrov-Galerkin (MLPG) ( Gu and Liu, 2001b”
Coupling of the meshfree and finite element methods for determination of the crack tip fields (2008, unknown): “[3][4], the meshfree local Petrov-Galerkin (MLPG) method [5][6][ 7 ], and the local radial”
A LOCAL RADIAL POINT INTERPOLATION METHOD (LRPIM) FOR FREE VIBRATION ANALYSES OF 2-D SOLIDS (2001, methodology): “The MLPG method has been used in static [11] and vibration analyses [12] of solids.”