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Research Papers: Design and Analysis

# Modified Formulation of Layer Stresses Due to Internal Pressure of a Layered Vessel With Interlayer Gaps

[+] Author and Article Information
Shugen Xu

School of Mechanical Engineering, Shandong University, Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Shandong, Chinaxsg123@163.com

Weiqiang Wang1

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

Mingda Song

Shandong Special Equipment Inspection and Research Academy, Jinan 250013, Shandong, Chinasmdaazyf@163.com

Mengli Li

School of Mechanical Engineering, Shandong University, Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Shandong, China490222960@qq.com

Jun Tang

Centre for Computer-Aided Design, University of Iowa, Iowa City, IA 52242-1000jun-tang@uiowa.edu

1

Corresponding author.

J. Pressure Vessel Technol 132(5), 051201 (Aug 17, 2010) (8 pages) doi:10.1115/1.4001658 History: Received December 06, 2009; Revised March 28, 2010; Published August 17, 2010; Online August 17, 2010

## Abstract

In this paper, the modified formulae have been provided. They can be used to calculate the stress in layers with gaps of a layered cylinder. In order to obtain the modified formulae, a detailed derivation process has also been presented in this paper. Meanwhile, we have clarified the derivation process and application range of Pimshtein’s formulae and corrected the errors. We have also indicated the shortcomings of the formulae given by Huang, Chen and Lai, and the ASME code. Finally, a practical example is presented to show how the modified formulae are applied. Calculation results obtained from the modified formulae have been compared with those obtained by finite element method and above mentioned formulae; it shows that the results from the modified formulae are in accordance with finite element results.

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## Figures

Figure 1

Layered shell cross-section under pressure p

Figure 2

The shell structure of the urea reactor

Figure 3

The axial cross-section of a scrapped urea reactor

Figure 4

Finite element model of the layered urea reactor shell

Figure 5

Hoop stress distribution along radius δ=0.1 mm

Figure 6

Figure 7

Axial stress distribution along radius δ=0.1 mm

Figure 8

Hoop stress distribution along radius δ=0.05 mm

Figure 9

Figure 10

Axial stress distribution along radius δ=0.05 mm

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