Research Papers: Design and Analysis

Elastic Stress Distribution in Layered Spherical Shells With Gaps Caused by Internal Pressure

[+] Author and Article Information
Shugen Xu

e-mail: xsg123@163.com

Chao Chen

e-mail: daxianxian1988@163.com
College of Chemical Engineering,
China University of Petroleum (Huadong),
Qingdao 266580, China

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received April 16, 2012; final manuscript received April 13, 2013; published online June 11, 2013. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 135(4), 041204 (Jun 11, 2013) (7 pages) Paper No: PVT-12-1044; doi: 10.1115/1.4024443 History: Received April 16, 2012; Revised April 13, 2013

An interlayer gap is inevitable in layered spherical shells. Therefore, the classic formulae for the monobloc spherical shell can no longer be used. In this paper, the formulae for the elastic stress calculation of layered spherical shells were proposed and the difference between the proposed formulae and ASME formulae was clarified. Interlayer gaps induce stress redistribution and stress discontinuity in the layered spherical shell. The hoop stress in the inner wall surface becomes higher than that in the monobloc spherical shell, and the stress in the outer wall surface is lower. Calculation results obtained from the proposed formulae were compared to those obtained by the finite element method (FEM) and ASME formulae. It was shown that the results from the proposed formulae are in accordance with finite element results.

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Fig. 1

Layered spherical shell cross-section. (a) Before the pressure p is applied, the 360 deg uniform gaps are assumed; (b) the gaps will be removed layer by layer when pressure p is applied.

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Fig. 2

The geometrical model with boundary conditions

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Fig. 3

Finite element mesh of the model

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Fig. 4

Hoop stress contour of the layered spherical shell with gaps

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Fig. 5

Radial stress contour of the layered spherical shell with gaps

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Fig. 6

The deformed radial displacement contour

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Fig. 7

Hoop stress distribution along radius, δ = 0.05 mm

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Fig. 8

Radial stress distribution along radius, δ = 0.05 mm

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Fig. 9

Hoop stress distribution along radius with different gaps



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