A boundary point interpolation method for stress analysis of solids

By Yuantong T. Gu, Guirong Liu. 2002

162 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a6be495ff20d9f48cb4ebba2a7526aac24024617

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

Assessment of smoothed point interpolation methods for elastic mechanics (2010, methodology): “In the other front of development related to meshfree methods, the polynomial basis function [36] and the radial basis function (RBF) [37], respectively, have been proposed to construct shape functions for the meshfree point interpolation methods (PIMs) [36–39].”
Structural shape and topology optimization using a meshless Galerkin level set method (2012, methodology): “The meshless methods based on Galerkin weak forms (global or local) include the element-free Galerkin (EFG) method [28], the reproducing kernel particle method (RKPM) [29], the hp-clouds method [30], and the partition of unity method [31], the meshless local Petrov–Galerkin method [32], the point in”
Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method (2011, methodology): “This category of meshless methods includes the diffuse element method (DEM) [25], the elementfree Galerkin (EFG) method [21], the reproducing kernel particle method [26], and the point interpolation method (PIM) [27, 28], the meshless local Petrov–Galerkin (MLPG) method [29], the local radial point ”
Radial point interpolation based finite difference method for mechanics problems (2006, background): “This problem was studied by several other researchers [29, 30] as a benchmark problem, since the analytical solution is available.”
Point interpolation method based on local residual formulation using radial basis functions (2002, methodology): “Several meshless methods have been developed, such as the smooth particle hydrodynamics (SPH) (Gingold and Monaghan 1977); the element free Galerkin method (EFG) (Belytschko et al. 1994, 1996); the meshless local Petrov-Galerkin method (MLPG) (Atluri and Zhu 1998, Atluri et al. 1999); the point asse”
A LOCAL RADIAL POINT INTERPOLATION METHOD (LRPIM) FOR FREE VIBRATION ANALYSES OF 2-D SOLIDS (2001, unknown): “The problem has been analyzed by Nagashima [22] using another meshless method, the node-by-node meshless (NBNM) method, which is based on a global weak form and the MLS approximation.”
A local point interpolation method (LPIM) for static and dynamic analysis of thin beams (2001, methodology): “In order to introduce the derivatives of the field variable into the interpolation scheme, a technique is proposed to construct polynomial interpolation with Kronecker delta function property, based only on a group of arbitrarily distributed points.”
An implicit RBF meshless approach for time fractional diffusion equations (2011, methodology): “This category of meshless methods includes the element-free Galerkin (EFG) method [20], the reproducing kernel particle method (RKPM)[21], and the point interpolation method (PIM) [22,23], the meshless local Petrov-Galerkin (MLPG) method [24], the local radial point interpolation method (LRPIM) [25,”