Mathematical modeling of residual stress distribution in girth welding of high strength low alloy steel gas pipelines

In this paper, the numerical distribution of residual stresses in the girth weld were determined in two (hoop an axial) direction. Two API X70 steel pipes of 56 inch outside diameter were girth welded first. Hole drilling strain gage test were conducted for strain measurement on the external surface of the pipes. The values of residual stresses were determined then from strain data using ASTM 837 standard. The values of residual stresses were determined. Next, distribution of residual stresses were assessed using spline and approximating polynomials. The well-behaved spline and polynomials, confirm the accuracy of residual stress results from experiment. The result showed lower-order polynomials have more suitable behavior in residual stress distribution. Noting to impossibility of using semi-destructive hole drilling strain gage test in project’s real situations, we can make use of these curves in assessing and estimating residual stresses distribution of similar welding. The most stable polynomial estimation curves for evaluating hoop and axial residual stress distribution are respectively third and second order. The closeness and uniformity of axial residual stress distribution curve compared to the hoop residual stress distribution curve is representative of more balanced behavior of these stresses distribution.