Application of GM Yield Criterion in Plastic Zone of ModeⅠCrack and Burst Pressure for Pipeline

Abstract

Based on GM yield criterion, the analytical solutions for shape and size of mode I crack tip plastic zone and the burst pressure for X70 pipeline steel are derived. Comparing the solutions with those based on Mises and Trasca criteria shows that under plain strain condition the area of plastic zone on GM is between Tresca and Mises solutions, and very close to Mises one. Among the areas Tresca’s is the largest and Mises is the smallest and all three zones are dumbbell shaped. However, for pipeline burst pressure based on Tresca criterion is the smallest and that on Twin shear stress criterion (TSS) is the largest, those on GM and Mises are also very close to each other and lie between Tresca and TSS results.

A new model for thermo-mechanical coupled analysis of hot rolling

“…GM yield criterion has been widely used in metal forming [14][15][16], its yield locus is the geometric midline of error triangle between Tresca and Twin Shear Stress yield loci and intersects with Mises circle in the π-plane, and the detail of the criterion can be seen in Ref. [17].…”