A local point interpolation method for stress analysis of two-dimensional solids

By G. Liu, Y. Gu. 2001

131 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2ee118f5c23b08d54262ca99ec236865be8a8c16

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Guirong Liu
2. K. Y. Dai
3. Yuantong T. Gu
4. Xu Han
5. Kian Meng Lim
6. A. J. Ferreira
7. Elyas Shivanian
8. Nam Mai-Duy

In Mechanics of Materials

1. Guirong Liu
2. K. Y. Dai
3. Trung Nguyen-Thoi
4. Yuantong T. Gu
5. Guiyong Zhang
6. Hung Nguyen-Xuan
7. Xu Han
8. Kian Meng Lim

Citations in the corpus

• A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids (2001, methodology): “…truly meshless methods, called the Meshles Local Petrov-Galerkin (MLPG) method, the Local Boundary Integral Equation (LBIE) method, and the Local Point Interpolation Method (LPIM), have been developed by Atluri and Zhu (1998,2000a,b), Atluri et al. (1999a,b), Zhu et al. (1998), Liu and Gu (2000b).”
• A LOCAL RADIAL POINT INTERPOLATION METHOD (LRPIM) FOR FREE VIBRATION ANALYSES OF 2-D SOLIDS (2001, unknown): “The LPIM has been used for 2-D elasto-statics [13] and 1-D fourth order thin beam analyses [14].”
• Thermomechanical analysis of functionally graded material (FGM) plates using element-free Galerkin method (2005, methodology): “Different versions of meshfree method have been proposed, such as smooth particle hydrodynamics (SPH) [24], element-free Galerkin (EFG) method [25], meshless local Petrov-Galerkin (MLPG) method [26], point interpolation method (PIM) [27–29].”