The singular boundary method for two-dimensional static thermoelasticity analysis
| Autor: | Wen Chen, Xing Wei, Bin Chen, Alexander H.-D. Cheng |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Regularized meshless method
Mathematical analysis 02 engineering and technology Singular boundary method 01 natural sciences 010101 applied mathematics Method of undetermined coefficients Computational Mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Computational Theory and Mathematics Computer Science::Computational Engineering Finance and Science Homogeneous Modeling and Simulation Boundary particle method Radial basis function Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 72:2716-2730 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2016.09.027 |
| Popis: | Based on the singular boundary method (SBM) coupled with the radial basis functions (RBF), a meshless algorithm is proposed to solve two-dimensional static thermoelasticity problems. The displacements and stresses can be written as the sum of a homogeneous solution and a particular solution. The RBF and SBM are used to construct the corresponding approximate particular and homogeneous parts, respectively. All unknowns are determined by satisfying the governing equations and the boundary conditions. Numerical experiments are performed for different cases, and the proposed meshless method is effectively validated by comparing the results with the available analytical solutions. |
| Databáze: | OpenAIRE |
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