Estimation of Residual Stress Distribution in Butt-Welded Plate Using Boundary Element Inverse Analysis and Its Regularization

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  • 境界要素逆解析による溶接残留応力分布の推定と適切化
  • キョウカイ ヨウソ ギャクカイセキ ニ ヨル ヨウセツ ザンリュウ オウリョク ブンプ ノ スイテイ ト テキセツカ

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This paper deals with an inverse problem for estimating the residual stress distribution in a butt-welded plate from stress data measured at some points. The welding residual stresses in the butt-welded plate are caused by inherent strains. Thus, the welding residual stresses in the butt-welded plate are calculated if the inherent strains are estimated from measurement data. In previous works, a method was proposed to estimate the inherent strains of constant distribution in the butt-welded plate using thermo-elastic boundary element inverse analysis. This paper examines the applicability of the boundary element inverse analysis method when the inherent strain distributions are trapezoidal or triangular. Tikhonov's regularization is used to improve the accuracy of the estimated values of the inherent strains in the butt-welded plate. The discrepancy principle is applied for estimating a proper value of the regularization parameter α. Numerical simulations are conducted for an analysis model which is the same with that used in the previous paper. Noisy stresses measured at some points are used for the simulations. The results of the calculations showed that the inherent strains in the butt-welded plate were evaluated in high accuracy from a few measured data by using Tikhonov's regularization even if the inherent strain distributions were trapezoidal or triangular. It was found that the discrepancy principle worked well for selecting a proper value of the regularization parameter α in Tikhonov's method.

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