A Meshless Local Petrov-Galerkin Method Based on theMoving Kriging Interpolation for Structural Uncoupled Thermal Stress Analysis

WANG Feng; ZHOU Yi-hong; ZHENG Bao-jing; LIN Gao

doi:10.21656/1000-0887.370189

Volume 37 Issue 11

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(11): 1217-1227

WANG Feng, ZHOU Yi-hong, ZHENG Bao-jing, LIN Gao. A Meshless Local Petrov-Galerkin Method Based on theMoving Kriging Interpolation for Structural Uncoupled Thermal Stress Analysis[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1217-1227. doi: 10.21656/1000-0887.370189

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A Meshless Local Petrov-Galerkin Method Based on theMoving Kriging Interpolation for Structural Uncoupled Thermal Stress Analysis

doi: 10.21656/1000-0887.370189

¹College of Hydraulic & Environmental Engineering, China Three Gorges University,Yichang, Hubei 443002, P.R.China;²School of Hydraulic Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China（51479103）；The National Science Fund for Young Scholars of China（51109134）；China Postdoctoral Science Foundation（2013T60283）

Received Date: 2016-06-14
Rev Recd Date: 2016-08-30
Publish Date: 2016-11-15

Abstract

Abstract

A meshless local PetrovGalerkin (MLPG) method based on the moving Kriging interpolation was employed for the solution of 2D structural uncoupled thermal stress problems. The transient heat conduction problem was solved firstly and then the thermal solutions were imposed as body loads with the sequential coupledfield method in the stress analysis. The local weak forms were developed with the weighted residual method locally from the partial differential equations of transient heat conduction and structural dynamics, where the Heaviside step function was used as the weighted function in each subdomain. The essential boundary conditions can be implemented directly since the shape functions constructed from the moving Kriging interpolation possess the Kronecker δ property. This method does not involve the subdomain integral during generation of the global stiffness matrix except for the boundary integral, so the computational costs are reduced largely. The results of 2 numerical examples show the effectiveness of this method.
- thermal stress,
- moving Kriging interpolation,
- meshless local Petrov-Galerkin method,
- Heaviside step function,
- sequential coupled-field method

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References

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