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Design and Analysis

Analysis on Elastoplastic Stress Distribution in a Layered Cylindrical Vessel With Interlayer Gaps

[+] Author and Article Information
Shugen Xu

College of Chemical Engineering,  China University of Petroleum (Huadong), Qingdao 266555, China; Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Chinaxsg123@163.com

Weiqiang Wang1

School of Mechanical Engineering,  Shandong University, Jinan 250061, China; Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Chinawqwang@sdu.edu.cn

1

Corresponding author.

J. Pressure Vessel Technol 134(3), 031206 (May 18, 2012) (5 pages) doi:10.1115/1.4006345 History: Received April 04, 2011; Revised February 28, 2012; Published May 17, 2012; Online May 18, 2012

In this paper, the formulae for elastoplastic stress distribution in layered cylindrical vessel layers with gaps have been provided. These formulae are based on the modified Pimshtein formulae for the elastic stress of layers. Plane strain with ideal elastoplastic model of materials is adopted. A practice example is presented to show how the formulae can be used for elastoplastic stress calculation. The hoop, radial, axial, and Von Mises equivalent stresses are obtained. The calculation result showed that the stress state of layered cylindrical vessel is more complex than that of monobloc cylindrical shell due to the interlayer gaps. The stress distribution is discontinuous. Calculation results obtained theoretically were compared to those obtained by finite element method (FEM). It shows that the results from the proposed formulae are in good agreement with finite element results.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 3

Hoop stress in layers

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Figure 4

Radial stress in layers

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Figure 1

The interface between plastic zone and elastic zone

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Figure 2

Finite element model of the reactor shell

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Figure 5

Axial stress in layers

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Figure 6

Von Mises equivalent stress in layers

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