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

doi:10.1007/s10483-012-1628-7

Abstract

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

2010 MSC Number:

O241

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

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