Prediction of Residual Stress Field in Milling Planes by Establishing Bivariate Mathematical Models

Wang, Fengyun; Mao, Kuanmin; Wu, Shanguo; Du, Yikang; Mao, Xiaobo

doi:10.1051/matecconf/201710402021

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…(1) Select two straight lines parallel to the x-and y-axes, respectively, and measure the residual stresses at points evenly distributed on the two lines. (2) Calculate the r 2 value depending on Equations ( 23), ( 25), ( 27), (29), and (31) with the measurements on the line parallel to the x-axis using the increasing truncated series N. Meanwhile, calculate the r 2 values depending on Equations ( 24), ( 26), ( 28), (30), and (32) with the measurements on the line parallel to the y-axis. (3) Select the smaller N, which causes the obtained r 2 values to increase and plateau, as the suitable truncated series do in the following prediction.…”

Section: Computational Proceduresmentioning

confidence: 99%

“…Mao et al [29] uncovered a role for predicting internal residual stresses of mechanical parts from surface residual stress. Wang et al [30] explored a method to establish mathematical models suitable for surface residual stresses of a small specimen using statistical software. However, there is a lack of unified mathematical models capable of predicting complete surface residual stress fields in engineering components.…”

Section: Introductionmentioning

confidence: 99%

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Bivariate Fourier-series-based prediction of surface residual stress fields using stresses of partial points

Wang

Mao

Wu³

et al. 2018

Mathematics and Mechanics of Solids

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Surface residual stresses are critical parameters for evaluating the surface quality and can have an influence on many mechanical properties of solids. These stresses inevitably arise in almost all engineering components during manufacturing. However, most experimental and finite element approaches cannot obtain a complete surface residual stress field in a mechanical part. In this study, we propose a predictive method to determine surface stress fields, depending on residual stresses being self-equilibrating. The effectiveness of the approach is verified using a numerical surface of a beam example with ideal measurements and a casting–milling surface with experimental data. Using the proposed method, surface residual stress fields can be obtained from the stresses of a limited number of points including boundary points to solve the governing equations via a Fourier series bivariate polynomial as an Airy stress function with the Tikhonov regularization method. Our method does not require simulations of the residual stress generation process. This method is suitable for complex engineering parts where the manufacturing process is difficult to recreate in detail. The predicted stress field can be imported into a finite element solver as initial stresses to promote the design, manufacturing, and assessment of mechanical components.

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Section: Computational Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%