Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines

doi:10.1007/s10483-012-1628-7

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (11): 1361-1370.doi: https://doi.org/10.1007/s10483-012-1628-7

Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines

金乘武¹, 王立忠², 张永强²

1. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, P. R. China;
2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, P. R. China

收稿日期:2011-11-30 修回日期:2012-06-20 出版日期:2012-11-10 发布日期:2012-11-10
通讯作者: Yong-qiang ZHANG, Professor, Ph.D., E-mail: cyqzhang@zju.edu.cn E-mail:cyqzhang@zju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 51079128 and 11172265) and the Natural Science Foundation of Zhejiang Province of China (No.Y1101107)

Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines

Cheng-wu JIN¹, Li-zhong WANG², Yong-qiang ZHANG²

1. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, P. R. China;
2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, P. R. China

Received:2011-11-30 Revised:2012-06-20 Online:2012-11-10 Published:2012-11-10
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51079128 and 11172265) and the Natural Science Foundation of Zhejiang Province of China (No.Y1101107)

摘要/Abstract

摘要： In the framework of the finite deformation theory, the plastic collapse analysis of thin-walled pipes subjected to the internal pressure is conducted on the basis of the unified strength criterion (USC). An analytical solution of the burst pressure for pipes with capped ends is derived, which includes the strength differential effect and takes the influence of strength criterion on the burst pressure into account. In addition, a USCbased analytical solution of the burst pressure for end-opened pipes under the internal pressure is obtained. By discussion, it is found that for the end-capped pipes, the influence of different yield criteria and the strength differential effect on the burst pressure are significant, while for the end-opened pipes, the burst pressure is independent of the specific form of the strength criterion and strength difference in tension and compression.

关键词: burst pressure, unified strength criterion, thin-walled pipe, finite strain, initial value problem, integro-partial differential equation, classical solution

Abstract: In the framework of the finite deformation theory, the plastic collapse analysis of thin-walled pipes subjected to the internal pressure is conducted on the basis of the unified strength criterion (USC). An analytical solution of the burst pressure for pipes with capped ends is derived, which includes the strength differential effect and takes the influence of strength criterion on the burst pressure into account. In addition, a USCbased analytical solution of the burst pressure for end-opened pipes under the internal pressure is obtained. By discussion, it is found that for the end-capped pipes, the influence of different yield criteria and the strength differential effect on the burst pressure are significant, while for the end-opened pipes, the burst pressure is independent of the specific form of the strength criterion and strength difference in tension and compression.

Key words: burst pressure, unified strength criterion, thin-walled pipe, finite strain, initial value problem, integro-partial differential equation, classical solution

中图分类号:

O241

金乘武;王立忠;张永强. Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1361-1370.

Cheng-wu JIN;Li-zhong WANG;Yong-qiang ZHANG. Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1361-1370.

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Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines

Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines

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