Abstract
The main objective in this paper is to develop an analytical solution of burst pressure for pipe elbow containing the effect of yield to tensile strength (Y/T) ratio. By non-linear regression analysis, available experimental data between the strain hardening exponent and Y/T ratio were fitted to mathematical models with high values of correlation coefficients. Meanwhile, in order to reflect the effect of different yield criteria on the burst pressure, the unified yield criterion is used and an analytical solution of burst pressure expressed as a function of parameter b, Y/T ratio, curvature impact factor and the ratio of thickness to radius is ultimately derived. Comparison with traditional theoretical results and numerical results shows that the present Mises results considering the effect of Y/T ratio match the best with numerical results. Validation with experimental results is carried out and the present TSS criterion provides the best agreement with experimental ones. Moreover, the effects of parameter b, strain hardening exponent, Y/T ratio, curvature impact factor, as well as the ratio of thickness to radius on the burst pressure are also discussed systematically.
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