On the Stress Concentration in Thick Cylindrical Shells with an Arbitrary Cutout

Hu Chao; Liu Diankui; Ma Xingrui; Wang Benli

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(5): 373-384

Hu Chao, Liu Diankui, Ma Xingrui, Wang Benli. On the Stress Concentration in Thick Cylindrical Shells with an Arbitrary Cutout[J]. Applied Mathematics and Mechanics, 1998, 19(5): 373-384.

Citation:

Hu Chao, Liu Diankui, Ma Xingrui, Wang Benli. On the Stress Concentration in Thick Cylindrical Shells with an Arbitrary Cutout[J]. Applied Mathematics and Mechanics, 1998, 19(5): 373-384.

Citation:

Hu Chao, Liu Diankui, Ma Xingrui, Wang Benli. On the Stress Concentration in Thick Cylindrical Shells with an Arbitrary Cutout[J]. Applied Mathematics and Mechanics, 1998, 19(5): 373-384.

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On the Stress Concentration in Thick Cylindrical Shells with an Arbitrary Cutout

Harbin Institute of Technology, Harbin 150001, P.R.China

Received Date: 1996-12-05
Rev Recd Date: 1997-12-20
Publish Date: 1998-05-15

Abstract

Abstract

In this paper,based on the theory of thick shells including effects of transverse shear deformations,a complex variable analytic method to solve stress concentrations in circular cylindrical shells with a small cutout is established.A general solution and expression satisfying the boundary conditions on the edge of arbitrary cutouts are obtained.The stress problem can be reduced to the solution of an infinite algebraic equation series,and can be normalized by means of this method.Numerical results for stress concentration factors of the shell with a small circular and elliptic cutout are presented.
- thick cylindrical shell,
- cutout,
- stress concentration,
- complex variable method and conformal mapping

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References(10)

References

[1]	A.C.Eringen,et al.,State of stress in a circular cylindrical shell with a circular hole,WRC Bullentin,102(1965),102-108.
[2]	P.Van Dyke,Stresses about acircular hole in a cylindrical shell,AIAA,J,3(9)(1965).
[3]	4 钱令希,圆柱壳开圆孔问题-单圆孔的基本解,大连工学院学报,3(4)(1965).
[4]	5 徐秉汉、裴俊厚、朱邦俊,《壳体开孔的理论与实验》,国防工业出版社,北京(1987).
[5]	6 薛明德,国内外关于圆柱壳开孔接管问题的研究概况,压力容器,8(2)(1991),9-15.
[6]	7 Reissner,E.,et al.,Anote on the linear theory of shallow shear-deformable shell,J.Appl.Math. Phys(ZAMP),33(1982),425-427.
[7]	8 Reissner,E.et al.,On the effect of transverse shear deformability on stress concentration factors for twist and sheared shallow spherical shells,J.Appl.Mech.,53(1986),697-601.
[8]	卢文达、程尧舜,横向剪切变形对具有一小圆孔的浅壳应力集中系数的影响,应力数学和力学,12 (2)(1991),195-202.
[9]	10 程尧舜、卢文达,开小圆孔圆柱壳在内压作用下的应力集中,工程力学,10(3)(1993),48-53.
[10]	刘殿魁、盖秉政、陶贵源,论孔附近的动应力集中,力学学报特刊(1981),65-67.