Analysis of Transient Thermo-Elastic Problems Using a Cell-Based Smoothed Radial Point Interpolation Method

作者：Wu, Gang; Zhang, Jian^*; Li, Yuelin; Yin, Lairong; Liu, Zhiqiang

来源：International Journal of Computational Methods, 2016, 13(5): 1650023.

DOI：10.1142/S0219876216500237

• Numerical method
• CS-RPIM
• meshfree method
• thermo-elastic

The transient thermo-elastic problems are solved by a cell-based smoothed radial point interpolation method (CS-RPIM). For this method, the problem domain is first discretized using triangular cells, and each cell is further divided into smoothing cells. The field functions are approximated using RPIM shape functions which have Kronecker delta function property. The system equations are derived using the generalized smoothed Galerkin (GS-Galerkin) weak form. At first, the temperature field is acquired by solving the transient heat transfer problem and it is then employed as an input for the mechanical problem to calculate the displacement and stress fields. Several numerical examples with different kinds of boundary conditions are investigated to verify the accuracy, convergence rate and stability of the present method.

• 出版日期2016-10
• 单位长沙理工大学