Research on the Dual Reciprocity Boundary Element Method for Non-Homogeneous Elasticity Problems

PAN Xianyun; YU Jianghong; ZHOU Fenglin

doi:10.21656/1000-0887.420208

Volume 43 Issue 9

Sep. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(9): 1004-1015

PAN Xianyun, YU Jianghong, ZHOU Fenglin. Research on the Dual Reciprocity Boundary Element Method for Non-Homogeneous Elasticity Problems[J]. Applied Mathematics and Mechanics, 2022, 43(9): 1004-1015. doi: 10.21656/1000-0887.420208

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Research on the Dual Reciprocity Boundary Element Method for Non-Homogeneous Elasticity Problems

doi: 10.21656/1000-0887.420208

1.
School of Mechanical Engineering, Hunan University of Technology , Zhuzhou, Hunan 412007, P.R.China
2.
Key Laboratory of Highway Engineering of Ministry of Education, Changsha University of Science & Technology, Changsha 410001, P.R.China

Received Date: 2021-07-26
Rev Recd Date: 2022-02-16

Available Online: 2022-07-15

Publish Date: 2022-09-30

Abstract

Abstract

Based on the boundary element method theory of elasticity, the boundary element method was combined with the dual reciprocity method, and the exponential basis function was used to interpolate the non-homogeneous term to obtain the dual reciprocity boundary integral equation. Then the boundary integral equation was discretized into algebraic equations, and the equations were solved with the known boundary conditions and equation particular solutions to obtain the displacement and boundary surface forces in the domain. The shape parameter of the exponential basis function was decided by the minimum value of the nearest distance between interpolation points. With this shape parameter change scheme, the RBF interpolation accuracy and stability were analyzed. Again, the exponential basis function was applied to the dual reciprocal boundary element method to analyze the calculation accuracy and stability, and verify the effectiveness of the exponential interpolation function as the radial basis function of the dual reciprocal boundary element method to solve the body force problem in the elastic domain.
- elasticity,
- boundary element method,
- dual reciprocity method,
- radial basis function,
- exponential basis function

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References(25)

References

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