Engineering Transactions, 64, 4, pp. 425–432, 2016
10.24423/engtrans.678.2016

### The Effects of a Micro Hole in the First Convolution of a Bellows with Positive Rotation Angle on the Stress Behaviour

Jinbong KIM
Hanseo University
Korea, Republic of

A bellows is widely used as the element of an expansion joint in various piping system. It suffers from axial movement, lateral deflection and angular rotation caused by vibration, thermal expansion, etc. A bellows absorbs regular or irregular expansion and contraction. Although a number of studies on the behaviour of these movements for a non-defective bellows have been carried out, studies on this behaviour for a bellows with defect are very few. This paper studies the effects of a micro-defect on the stress behaviour of the bellows. While the distributions of micro-defect are various, the analysis is performed for the case, in which the defect is on the first convolution what is expected to incur the maximum stress. The von Mises stress distribution for the bellows and around the hole is obtained. In addition, the relationship between lateral deflection and positive rotation angle for the von Mises stress for the bellows with microhole is also obtained.
Keywords: micro hole; rotation angle; stress behaviour; lateral deflection
Full Text: PDF

#### References

Howland R.C.J., Stress in plate containing an infinite row of holes, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 148(864): 471–491, 1935. DOI = 10.1098/rspa.1935.0030.

Haddon R.A., Stress in an infinite plate with two unequal circular holes, The Quarterly Journal of Mechanics and Applied Mathematics, 20(3): 277–291, 1967. DOI: 10.1093/qjmam/20.3.277.

Duan Z.P., Kienzler R., Hermann G., An integral equation method and its application to defect mechanics, Journal of Mechanics and Physics of Solid, 34(6): 539–561, 1986. DOI:10.1016/0022-5096(86)90036-0.

Hu K.X., Chandra A., Huang Y., Multiple void-crack interaction, International Journal of Solids and Structures, 30(11): 1473–1489, 1993. DOI: 10.1016/0020-7683(93)90072-F.

Fotuhi A.R., Fariborz S.J., In-plane stress analysis of an orthotropic plane containing multiple defects, International Journal of Solids and Structures, 44(11–12): 4167–4184, 2007. DOI: 10.1016/j.ijsolstr.2006.11.020.

Guan K. et.al , Failure of 304 stainless bellows expansion joints, Engineering Failure Analysis, 12(3):387–399, 2005. DOI: 10.1016/j.engfailanal.2004.05.007.

Becht C., Fatigue of bellows, a new design approach, International Journal of Pressure Vessels and Piping, 77(13): 843–850, 2000. DOI: 10.1016/S0308-0161(00)00078-8.

Tingxin L., Xiaoping L., Tianxiang L., Movement stress of bellows subjected to displacement loading of various kinds, International Journal of Pressure Vessels and Piping, 62: 171–177, 1995. DOI: 10.1016/0308-0161(94)00007-6.

DOI: 10.24423/engtrans.678.2016