The interpolating element-free Galerkin method for elastic large deformation problems
| Autor: | Qiang Wu, Yumin Cheng, PiaoPiao Peng |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Large deformation
General Engineering 02 engineering and technology 010402 general chemistry 021001 nanoscience & nanotechnology 01 natural sciences Displacement (vector) Domain (mathematical analysis) 0104 chemical sciences Distribution (mathematics) Applied mathematics General Materials Science Node (circuits) Boundary value problem 0210 nano-technology Galerkin method Scale parameter Mathematics |
| Zdroj: | Science China Technological Sciences. 64:364-374 |
| ISSN: | 1869-1900 1674-7321 |
| DOI: | 10.1007/s11431-019-1583-y |
| Popis: | This paper presents an interpolating element-free Galerkin (IEFG) method for solving the two-dimensional (2D) elastic large deformation problems. By using the improved interpolating moving least-squares method to form shape function, and using the Galerkin weak form of 2D elastic large deformation problems to obtain the discrete equations, we obtain the formulae of the IEFG method for 2D elastic large deformation problems. As the displacement boundary conditions can be applied directly, the IEFG method can acquire higher computational efficiency and accuracy than the traditional element-free Galerkin (EFG) method, which is based on the moving least-squares approximation and can not apply the displacement boundary conditions directly. To analyze the influences of node distribution, scale parameter of influence domain and the loading step on the numerical solutions of the IEFG method, three numerical examples are proposed. The IEFG method has almost the same high accuracy as the EFG method, and for some 2D elastic large deformation problems the IEFG method even has higher computational accuracy. |
| Databáze: | OpenAIRE |
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