Stress Concentration in Finite Plates With Functionally Graded Rings Around Circular Holes

YANG Quan-quan; ZHU Wei-guo; LIU Fei

doi:10.21656/1000-0887.370131

Volume 37 Issue 11

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YANG Quan-quan, ZHU Wei-guo, LIU Fei. Stress Concentration in Finite Plates With Functionally Graded Rings Around Circular Holes[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1239-1246. doi: 10.21656/1000-0887.370131

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Stress Concentration in Finite Plates With Functionally Graded Rings Around Circular Holes

doi: 10.21656/1000-0887.370131

Jiangsu Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, P.R.China

Funds: The National Science Fund for Young Scholars of China（11502090）

Received Date: 2016-04-28
Rev Recd Date: 2016-07-15
Publish Date: 2016-11-15

Abstract

Abstract

Based on the complex variable method and combined with the least squares boundary collocation technique, the problem of stress concentration in finite plates with functionally graded rings around circular holes was studied when the plates were subjected to arbitrary uniform distributed loads at the outer boundaries. With the method of piecewise homogeneous layers, the semi-analytic solutions of stresses around the hole were first given through formulation of the complex potentials in the functionally graded ring with arbitrary radial elastic properties. The numerical results of stress distributions around the holes were then obtained for plates with different material properties, ring thicknesses, plate sizes and hole eccentricities, respectively. It is found that the stress concentration in the finite plate can be significantly reduced on the condition of a proper distribution of the radial elastic property and a proper thickness of the ring.
- functionally graded material,
- complex variable function,
- finite plate,
- circular hole,
- stress concentration

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References(16)

References

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