Abstract
Machined ceramics and other hard materials exhibit very steep subsurface gradients of residual stresses. X-ray analysis enables the non-destructive assessment of the distributions of these residual stresses versus the distance from the surface via variation of the penetration depth of the X-rays. Conventional evaluation procedures are based on continuous or piecewise defined polynomial functions of stress versus distance, which are fitted to the X-ray data by means of complex solution schemes. These solution schemes are, however, in many cases unstable and difficult to handle. We have developed an entirely novel evaluation procedure which is based on polynomials fitted to the “2θ vs. sin2 ψ” plots obtained from the X-ray measurements. It is shown that the residual stress profiles can be computed explicitly from these polynomials without any further assumptions. The evaluation procedure is described in detail and demonstrated in a case study on ground alumina ceramics.
References
[1] B.Eigenmann, B.Scholtes, E.Macherauch: Mat.-wiss.u. Werkstofftech.21 (1990) 257–265.10.1002/mawe.19900210705Search in Google Scholar
[2] B.Eigenmann, B.Scholtes, E.Macherauch, in: H.Fujiwara, T.Abe, K.Tanaka (Eds.), Residual Stresses III, Elsevier Applied Science, London, New York, (1992) 601–606.Search in Google Scholar
[3] T.Erbacher, M.H.Ott, T.Beck, O.Vöhringer: Mat. Sci. Forum490–491 (2005) 485–490.10.4028/www.scientific.net/MSF.490-491.485Search in Google Scholar
[4] R.Hessert: Bearbeitungseigenspannungen, Randschichtschädigungen und Festigkeiten geschliffener Al2O3- und ZrO2-Keramiken, Doctoral Thesis, Universität Karlsruhe, Karlsruhe, Germany. Published by: Shaker Verlag, Aachen (1998).Search in Google Scholar
[5] A.Kämpfe, B.Eigenmann, D.Löhe: Z. Metallkd.91 (2000) 967–975.Search in Google Scholar
[6] T.Leverenz, B.Eigenmann, E.Macherauch: Z. Metallkd.87 (1996) 616–625.Search in Google Scholar
[7] W.Pfeiffer, M.Rombach: Adv. X-Ray Anal.41 (1997) 493–500.Search in Google Scholar
[8] T.Erbacher: Eigenspannungen, Festigkeiten und Schädigungsverhalten von Aluminiumoxid unter thermischer und friktiver Randschichtbeanspruchung, Doctoral Thesis, Universität Karlsruhe, Karlsruhe, Germany. Published by: Shaker Verlag, Aachen (2006).Search in Google Scholar
[9] E.Macherauch, P.Müller: Z. Angew. Physik13 (1961) 305–312.Search in Google Scholar
[10] B.Ballard, X.Zhu, P.Predecki, D.Braski: Adv. X-Ray Anal.41 (1994) 1133–1143.Search in Google Scholar
[11] T.Dümmer, B.Eigenmann, M.Stüber, H.Leiste, D.Löhe, O.Vöhringer: Z. Metallkd.90 (1999) 780–787.Search in Google Scholar
[12] B.Eigenmann, B.Scholtes, E.Macherauch: Mat.-wiss.u. Werkstofftech.21 (1990) 257–265.10.1002/mawe.19900210705Search in Google Scholar
[13] T.Ely, P.K.Predecki, I.C.Noyan: Adv. X-Ray Anal.41 (1999) 467–478.Search in Google Scholar
[14] P.D.Evenschor: Z. Metallkde.73 (1982) 387–390.Search in Google Scholar
[15] C.Genzel: Phys. Stat. Sol. A156 (1996) 353–364.10.1002/pssa.2211560213Search in Google Scholar
[16] T.C.Huang, P.K.Predecki: Adv. X-Ray Anal.40 (1996) 61–69.Search in Google Scholar
[17] A.K.KämpfeP.Predecki, B.Eigenmann: Proc. Micro Mat., Berlin: DVM, (1997) 1074–1076.Search in Google Scholar
[18] G.Lim, W.Parrish, C.Ortiz, M.Belloto, M.Hart: J. Mater. Res.2 (1987) 471–478.10.1557/JMR.1987.0471Search in Google Scholar
[19] H.Ruppersberg, I.Detemple, J.Krier: Z. f. Kristallographie195 (1991) 189–203.10.1524/zkri.1991.195.3-4.189Search in Google Scholar
[20] H.Behnken, V.Hauk: Mat. Sci. Eng. A300 (2001) 41–51.10.1016/S0921-5093(00)01791-3Search in Google Scholar
[21] I.N.Bronstein, K.A.Semendjajew (Eds.): Taschenbuch der Mathematik. Stuttgart: Teubner Verlagsgesellschaft (1991).Search in Google Scholar
[22] I.C.Noyan, J.B.Cohen: Residual Stress – Measurement by Diffraction and Interpretation, Berlin: Springer (1987) 121–122.Search in Google Scholar
[23] Y.Yoshioka, T.Sasaki, M.Kuramoto: Adv. X-Ray Anal.28 (1985) 225–264.Search in Google Scholar
[24] A.K.KämpfeB.Eigenmann, D.Löhe: Z. Metallkd.91 (2000) 967–975.Search in Google Scholar
[25] H.Wern, P.Klein, G.Marchand: Adv. X-Ray Anal.45 (2002) 206–211.Search in Google Scholar
[26] J.Reinshagen: Korrelation zwischen Partikelwechselwirkungen und Grünkörpereigenschaften nassgeformter Keramiken. Doctoral Thesis, Universität Karlsruhe, Karlsruhe, Germany. Appeared in: Karlsruhe: Schriftenreihe des Instituts für Keramik im Maschinenbau, IKM, Vol. 47 (2006).Search in Google Scholar
[27] E.DörreH.Hübner: Alumina: Processing, Properties, and Applications. Berlin: Springer Verlag (1984).10.1007/978-3-642-82304-6Search in Google Scholar
[28] „Landolt-Börnstein, Physikalisch-Chemische Tabellen“, III/11, III/18. Berlin: Springer Verlag (1984).Search in Google Scholar
[29] B.Eigenmann, B.Scholtes, E.Macherauch: Mat.-wiss. u. Werkstofftech.20 (1989) 314–325.10.1002/mawe.19890200908Search in Google Scholar
[30] R.Hessert: Bearbeitungseigenspannungen, Randschichtschädigungen und Festigkeiten geschliffener Al2O3- und ZrO2-Keramiken. Doctoral Thesis, Universität Karlsruhe, Karlsruhe, Germany. Aachen: Shaker Verlag (1998).Search in Google Scholar
[31] T.Erbacher, M.H.Ott, T.Beck, O.Vöhringer: Mat. Sci. Forum490–491 (2005) 485–490.10.4028/www.scientific.net/MSF.490-491.485Search in Google Scholar
[32] B.Okolo, A.Wanner: Int. J. Mater. Res.97 (2006) 1415–1424.10.3139/146.101386Search in Google Scholar
[33] B.Eigenmann: Röntgenographische Analyse inhomogener Spannungszustände in Keramiken, Keramik-Metall-Fügeverbindungen und dünnen Schichten, Doctoral Thesis, Universität Karlsruhe, Karlsruhe, Germany, Appeared in: Karlsruhe: Schriftenreihe des Instituts für Keramik im Maschinenbau, IKM, Vol. 5 (1992).Search in Google Scholar
[34] A.Kumar, U.Welzel, E.J.Mittemeijer: J. Appl. Cryst.39 (2006) 633–646.10.1107/S0021889806023417Search in Google Scholar
[35] T.Erbacher, A.Wanner, T.Beck, O.Vöhringer: J. Appl. Cryst.41 (2008) 377–385.10.1107/S0021889807066836Search in Google Scholar
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