A New Golden Ratio Weighted Yield Criterion and Its Application in Exact Prediction of Burst Pressure for Thin-Walled Pipelines

Abstract Thin-walled metal pipelines are an important infrastructure for long-distance transportation of oil and natural gas, and accurate prediction of the burst pressure of thin-walled pipes is crucial to ensure their safe and reliable operation. To improve the prediction accuracy of the burst pressure for the defect-free thin-walled pipes, a new yield criterion called the golden ratio weighted (GRW) yield criterion is proposed by weighting Mises yield criterion and Tresca yield criterion with the golden ratio. The Lode stress parameter curve and the plane stress curve of the GRW yield criterion are plotted and compared with experimental data to verify the engineering applicability of the GRW criterion. Based on the GRW yield criterion, a new burst pressure prediction formula for the defect-free thin-walled pipe is derived using finite strain theory and the power-law strain hardening rule. The burst pressure curves under different yield criteria are plotted, and the relative error and average error of the prediction results of each burst pressure formula are analyzed and compared. The results show that the burst pressure prediction accuracy of GRW formula is high, and the average error is only –0.04%. The new burst pressure formula established by incorporating the GRW yield criterion provides a safe, economical, and reliable theoretical foundation for the design, inspection, and safety assessment of defect-free thin-walled pipelines in engineering application.