Determination of notch factors for welded butt joints based on numerical analysis and metamodeling

• Published in: Welding in the world Vol. 64; no. 12; pp. 2053 - 2074
• Main Authors: Oswald, Markus, Neuhäusler, Josef, Rother, Klemens
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2020; Springer Nature B.V
• Subjects: Artificial neural networks; Butt joints; Butt welding; Chemistry and Materials Science; Finite element method; Materials Science; Metallic Materials; Metamodels; Numerical analysis; Polynomials; Regression analysis; Research Paper; Seams; Solid Mechanics; Stress concentration; Theoretical and Applied Mechanics; Thickness; Welding parameters; Mathematical models; Finite element analysis; Sampling; Butt joints; Notches; Elastic analysis
• ISSN: 0043-2288; 1878-6669
• DOI: 10.1007/s40194-020-00982-4

Fatigue evaluation based on the effective notch stress approach requires stress concentration factors for idealized notch geometries. In this paper, stress concentration factors are calculated numerically for different idealizations of the weld geometry. The joints covered here are one-sided Y-butt joints and two-sided DY-butt joints, each with partial and full penetration. The variable parameters of the finite element models are the weld flank angle, the notch radius, the sheet thickness, the ratio of weld seam width to sheet thickness, and the ratio of height of non-fused root face to sheet thickness. Existing estimation formulae for stress concentration factors will be compared with new methods for stress concentration factor estimation: (a) polynomial regression using mixed terms and (b) artificial neural networks. These two methods show similar or superior quality compared with the existing estimations which is expressed through lower estimation errors with respect to the numerically calculated stress concentration factors. The database for the regression analysis using methods (a) and (b) consists of a total of 11,871 design alternatives obtained by finite element analysis. In addition to the improved quality of prognosis, the range of allowable geometrical parameters is significantly increased compared with the existing formulae. The methods (a) and (b) provide a possibility to a fast estimation of stress concentration factors of sufficient quality for a large range of geometrical weld seam parameters. The presented formulae could also be part of a programmed solution.