具有功能梯度加强环的有限尺寸开孔板应力集中问题

杨权权; 朱为国; 刘飞

doi:10.21656/1000-0887.370131

具有功能梯度加强环的有限尺寸开孔板应力集中问题

doi: 10.21656/1000-0887.370131

淮阴工学院江苏省先进制造技术重点实验室, 江苏淮安 223003

基金项目: 国家自然科学基金青年科学基金（11502090）；江苏省高校自然科学研究面上项目（15KJB130001）

详细信息

作者简介:
杨权权（1984—），男，讲师，博士(通讯作者. E-mail: qqyang@hyit.edu.cn).

中图分类号: O341
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- 被引次数: 0
出版历程
- 收稿日期: 2016-04-28
- 修回日期: 2016-07-15
- 刊出日期: 2016-11-15

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

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）

摘要

摘要: 基于复变函数理论，结合最小二乘边界配点法，对具有功能梯度加强环的有限尺寸开孔板在任意均布载荷作用下的应力集中问题进行了研究.首先，采用分层均匀化方法，给出了材料参数沿径向任意变化的功能梯度加强环内的复势及孔边应力的半解析解；然后，通过几组数值算例，讨论了组分梯度、加强环厚度、板相对尺寸及偏心率的变化对孔边应力集中的影响.结果表明，通过合理选择功能梯度加强环内材料参数的递变规律及加强环的厚度，可以有效缓解有限尺寸开孔板内的应力集中.
- 功能梯度材料 /
- 复变函数 /
- 有限尺寸 /
- 圆孔 /
- 应力集中
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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参考文献(16)

[1]	Zhang X Z, Kitipornchai S, Liew K M, Lim C W, Peng L X. Thermal stresses around a circular hole in a functionally graded plate[J]. Journal of Thermal Stresses,2003,26(4): 379-390.
[2]	Fang X Q, Hu C, Du S Y. Strain energy density of a circular cavity buried in semi-infinite functionally graded materials subjected to shear waves[J]. Theoretical and Applied Fracture Mechanics,2006,46(2): 166-174.
[3]	FANG Xue-qian, HU Chao, DU Shan-yi. Dynamic stress of a circular cavity buried in a semi-infinite functionally graded material subjected to shear waves[J]. Journal of Applied Mechanics,2007,74(5): 916-922.
[4]	Kubair D V, Bhanu-Chandar B. Stress concentration factor due to a circular hole in functionally graded panels under uniaxial tension[J]. International Journal of Mechanical Sciences,2008,50(4): 732-742.
[5]	YANG Quan-quan, GAO Cun-fa, CHEN Wen-tao. Stress analysis of a functional graded material plate with a circular hole[J]. Archive of Applied Mechanics,2010,80(8): 895-907.
[6]	YANG Quan-quan, GAO Cun-fa. Non-axisymmetric thermal stress around a circular hole in a functionally graded infinite plate[J]. Journal of Thermal Stresses,2010,33(4): 318-334.
[7]	Mohammadi M, Dryden J R, JIANG Li-ying. Stress concentration around a hole in a radially inhomogeneous plate[J]. International Journal of Solids and Structures,2011,48(3/4): 483-491.
[8]	Ashrafi H, Asemi K, Shariyat M. A three-dimensional boundary element stress and bending analysis of transversely/longitudinally graded plates with circular cutouts under biaxial loading[J]. European Journal of Mechanics A—Solids,2013,42: 344-357.
[9]	ZHOU Chuan-ping, HU Chao, MA Fai, LIU Dian-kui. Elastic wave scattering and dynamic stress concentrations in exponential graded materials with two elliptic holes[J]. Wave Motion,2014,51(3): 466-475.
[10]	YANG Zai-lin, HEI Bao-ping, WANG Yao. Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation[J]. Applied Mathematics and Mechanics(English Edition),2015,36(5): 599-608.
[11]	Kubair D V. Stress concentration factors and stress-gradients due to circular holes in radially functionally graded panels subjected to anti-plane shear loading[J]. Acta Mechanica,2013,224(11): 2845-2862.
[12]	Kubair D V. Stress concentration factor in functionally graded plates with circular holes subjected to anti-plane shear loading[J]. Journal of Elasticity,2014,114(2): 179-196.
[13]	Yang B, Chen W Q, Ding H J. 3D elasticity solutions for equilibrium problems of transversely isotropic FGM plates with holes[J]. Acta Mechanica,2015,226(5): 1571-1590.
[14]	Sburlati R. Stress concentration factor due to a functionally graded ring around a hole in an isotropic plate[J]. International Journal of Solids and Structures,2013,50(22/23): 3649-3658.
[15]	Sburlati R, Atashipour S R, Atashipour S A. Reduction of the stress concentration factor in a homogeneous panel with hole by using a functionally graded layer[J]. Composites Part B,2014,61: 99-109.
[16]	Muskhelishvili N I.Some Basic Problem of Mathematical Theory of Elasticity [M]. Leyden: Noordhoff International Publishing, 1975.