A boundary meshless method for dynamic coupled thermoelasticity problems. (English) Zbl 1502.65159
Summary: This work develops the boundary knot method (BKM) for two-dimensional (2D) coupled thermoelasticity problems in the frequency domain. By taking the non-singular general solution satisfying the governing equations as the basis function, the BKM does not require domain discretization. Nevertheless, the non-singular solution for the considered problems is absent. The Helmholtz decomposition and eigen-analysis are introduced to firstly derive the non-singular general solution, and thus the BKM can be formulated in terms of the discretized boundary points. In the final, the exponential window method (EWM) in conjunction with the BKM is employed to perform the transient analysis. The accuracy and feasibility of the proposed method are presented via numerical examples.
MSC:
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
| 74F05 | Thermal effects in solid mechanics |
| 74B10 | Linear elasticity with initial stresses |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
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