Volume 19, Issue 3 (2019)                   Modares Mechanical Engineering 2019, 19(3): 609-620 | Back to browse issues page

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Ghasemi A, AmirAhmadi S, Asgari B, Sareban M. Calculating residual stresses by measured released strains using different linear and nonlinear approximations. Modares Mechanical Engineering. 2019; 19 (3) :609-620
URL: http://journals.modares.ac.ir/article-15-18500-en.html
1- Solid Mechanics Department, Mechanical Engineering Faculty, University of Kashan, Kashan, Iran , ghasemi@kashanu.ac.ir
2- Solid Mechanics Department, Mechanical Engineering Faculty, University of Kashan, Kashan, Iran
Abstract:   (1316 Views)
In this study, the method of releasing strains for calculating residual stresses in hole drilling process has been considered. For this purpose, a thick piece of cylindrical aluminum of 5 mm thickness has been investigated. Stepwise and high-speed drilling was performed in several successive steps, and released strains were recorded by a rosette strain gauge. The distribution of released strains in 3 forms of functions in the depth of the hole has been studied to transform strains to stresses, a linear function, a second-order function, and a third-order function. For each case, the longitudinal, tangential, shear stresses, principle stresses, and principle angles in the thickness of the piece were calculated and the results of the convergence analysis by the Tikhonov regularization were evaluated. In the end, the results are evaluated and compared for 3 modes. The results of the comparison of stresses and the degree of curves have shown that the third-order curve is more suitable for evaluation of released strains and using to transform them to residual stresses, and the magnitude of the error in the second-order curve is greater than the two other modes.
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Received: 2018/04/4 | Accepted: 2018/11/10 | Published: 2019/03/15

1. 1- Jiang W, Zhang YC, Zhang WY, Luo Y, Woo W, Tu ST. Growth and residual stresses in the bonded compliant seal of planar solid oxide fuel cell: Thickness design of window frame. Materials and Design. 2016;93(C):53-62. [Link] [DOI:10.1016/j.matdes.2015.12.145]
2. Zijlstra G, Groen M, Post J, Ocelík V, De Hosson JTM. On the role of the residual stress state in product manufacturing. Materials and Design. 2016;105:375-380. [Link] [DOI:10.1016/j.matdes.2016.05.085]
3. Rossini NS, Dassisti M, Benyounis KY, Olabi AG. Methods of measuring residual stresses in components. Materials and Design. 2012;35:572-588. [Link] [DOI:10.1016/j.matdes.2011.08.022]
4. Mahmoudi AH, Ghasemi A, Farrahi GH, Sherafatnia K. A comprehensive experimental and numerical study on redistribution of residual stresses by shot peening. Materials and Design. 2016;90(C):478-487. [Link] [DOI:10.1016/j.matdes.2015.10.162]
5. Astaraee AH, Miresmaeili R, Bagherifard S, Guagliano M, Aliofkhazraei M. Incorporating the principles of shot peening for a better understanding of surface mechanical attrition treatment (SMAT) by simulations and experiments. Materials and Design. 2017;116:365-373. [Link] [DOI:10.1016/j.matdes.2016.12.045]
6. Correa C, Gil-Santos A, Porro JA, Díaz M, Oca-a JL. Eigenstrain simulation of residual stresses induced by laser shock processing in a Ti6Al4V hip replacement. Materials and Design. 2015;79:106-114. [Link] [DOI:10.1016/j.matdes.2015.04.048]
7. Okano Sh, Kobayashi Sh, Kimura K, Ando A, Yamada E, Go T, et al. Experimental and numerical investigation on generation characteristics of welding deformation in compressor impeller. Materials and Design. 2016;101:160-169. [Link] [DOI:10.1016/j.matdes.2016.04.010]
8. Schajer GS, Ruud CO. Overview of residual stresses and their measurement. In: GS Schajer, Editor. Practical residual stress measurement methods. 1st Edition. Hoboken: John Wiley & Sons; 2013. pp. 1-27 .ch1 [Link] [DOI:10.1002/9781118402832]
9. ASTM Standards. Standard test method for determining residual stresses by the hole-drilling strain-gage method, ASTM E837 - 13a [Internet]. Pennsylvania: ASTM International Standards Organization; 2008 [cited 2018 April 1]. Available from: https://www.astm.org/Standards/E837.htm [Link]
10. Vishay Precision Group. Measurement of residual stresses by the hole-drilling* strain gage method [Internet]. Malvern: Vishay Precision Group; 2010 [cited 2018 April 2]. Available from: http://www.vishaypg.com/doc?11053 [Link]
11. Schajer GS. Measurement of non-uniform residual stresses using the hole-drilling method. Part I-Stress calculation procedures. Journal of Engineering Materials and Technology. 1988;110(4):338-343. https://doi.org/10.1115/1.3226059 [Link] [DOI:10.1115/1.3226060]
12. Schajer GS. Measurement of non-uniform residual stresses using the hole-drilling method. Part II-practical application of the integral method. Journal of Engineering Materials and Technology. 1988;110(4):344-349. https://doi.org/10.1115/1.3226059 [Link] [DOI:10.1115/1.3226060]
13. Baldi A. Far-field boundary conditions for calculation of hole-drilling residual stress calibration coefficients. Experimental Mechanics. 2017;57(4):659-664. [Link] [DOI:10.1007/s11340-016-0235-1]
14. Seifi R, Salimi-Majd D. Effects of plasticity on residual stresses measurement by hole drilling method. Mechanics of Materials. 2012;53:72-79. [Link] [DOI:10.1016/j.mechmat.2012.05.009]
15. Chupakhin S, Kashaev N, Huber N. Effect of elasto-plastic material behaviour on determination of residual stress profiles using the hole drilling method. The Journal of Strain Analysis for Engineering Design. 2016;51(8):572-581. [Link] [DOI:10.1177/0309324716663940]
16. Peral D, De Vicente J, Porro JA, Ocana JL. Uncertainty analysis for non-uniform residual stresses determined by the hole drilling strain gauge method. Measurement. 2017;97:51-63. [Link] [DOI:10.1016/j.measurement.2016.11.010]
17. Barsanti M, Beghini M, Bertini L, Monelli BD, Santus C. First-order correction to counter the effect of eccentricity on the hole-drilling integral method with strain-gage rosettes. The Journal of Strain Analysis for Engineering Design. 2016;51(6):431-443. [Link] [DOI:10.1177/0309324716649529]
18. Peral D, Correa C, Diaz M, Porro JA, De Vicente J, Oca-a JL. Measured strains correction for eccentric holes in the determination of non-uniform residual stresses by the hole drilling strain gauge method. Materials and Design. 2017;132:302-313. [Link] [DOI:10.1016/j.matdes.2017.06.051]
19. Pappalettere C. A short survey on residual stress measurements by HDM and ESPI. In: Lamberti L, Lin MT, Furlong C, Sciammarella C, Editors. Advancement of optical methods in experimental mechanics. Volume 3. Berlin: Springer; 2018. pp. 105-110 [Link] [DOI:10.1007/978-3-319-63028-1_17]
20. Harrington JS, Schajer GS. Measurement of structural stresses by hole-drilling and DIC. Experimental Mechanics. 2017;57(4):559-567. [Link] [DOI:10.1007/s11340-016-0247-x]
21. Zhang K, Yuan M, Chen J. General calibration formulas for incremental hole drilling optical measurement. Experimental Techniques. 2017;41(1):1-8. [Link] [DOI:10.1007/s40799-016-0008-x]
22. Ghasemi AR, Mohammadi MM. Applications of the incremental hole-drilling method for measurement of non-uniform residual stresses in fiber metal laminates. Modares Mechanical Engineering. 2015;15(6):335-345. [Persian] [Link]
23. Andersen LF. Experimental method for residual stress evaluation through the thickness of a plate. Journal of Engineering Materials and Technology. 2002;124(4):428-433. [Link] [DOI:10.1115/1.1417981]
24. Sicot O, Gong XL, Cherouat A, Lu J. Determination of residual stress in composite laminates using the incremental hole-drilling method. Journal of Composite Materials. 2003;37(9):831-844. [Link] [DOI:10.1177/002199803031057]

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