X-ray absorption in the analysis of residual stresses in samples with cylindrical geometry
Abstract
In this paper the influence of sample geometry on taking into account the X-ray absorption when passing through the sample is investigated. The paper deals with the case of cylindrical geometry. For this case the theoretical description of absorption in the samples with such a geometry is carried out. The obtained theoretical expressions were used for taking into account the absorption of X-rays in iron wires in the analysis of residual stresses. With the help of X-ray diffractometry diffraction profiles under various tilt and rotation angles of diffraction vector with respect to sample normal were obtained. The experimental profiles were fitted by the linear dependence since in this investigation the samples are supposed to be isotropic. On the basis of the results of fitting procedure the components of stress tensor were determined. It was established that there exist some deviations from linear dependence. It can be related to the presence of anisotropy of the sample because of texture or direction dependent grain interaction. It follows that for more rigorous description of the experimentally obtained dependencies it is necessary to consider the samples anisotropic and to supply the analysis of residual stresses with corresponding theory.
References
- Atienza J. M., Martinez-Perez M. L., Ruiz-Hervias J., et al. Residual stresses in cold drawn ferritic rods. Scripta Mater. 2005. Vol. 52, issue 4. P. 305–309. DOI: 10.1016/j.scriptamat.2004.10.010.
- Ghelichi R., Bagherifard S., MacDonald D., et al. Experimental and numerical study of residual stress evolution in cold spray coating. Appl. Surf. Sci. 2014. Vol. 288. P. 26–33. DOI: 10.1016/j.apsusc.2013.09.074.
- Elices M. Influence of residual stresses in the performance of cold-drawn pearlitic wires. J. Mater. Sci. 2004. Vol. 39, issue 12. P. 3889–3899. DOI: 10.1023/B:JMSC.0000031470.31354.b5.
- Welzel U., Ligot J., Lamparter P., et al. Stress analysis of polycrystalline thin films and surface regions by X-ray diffraction. J. Appl. Cryst. 2005. Vol. 38, part 1. P. 1–29. DOI: 10.1107/S0021889804029516.
- Welzel U., Mittemeijer E. J. Diffraction stress analysis of macroscopically elastically anisotropic specimens: on the concepts of diffraction elastic constants and stress factors. J. Appl. Phys. 2003. Vol. 93, issue 11. P. 9001–9011. DOI: 10.1063/1.1569662.
- Francois M., Dionnet B., Sprauel J. M., et al. The influence of cylindrical geometry on X-ray stress ensor analysis. General formulation. J. Appl. Cryst. 1995. Vol. 28, part 6. P. 761–767. DOI: 10.1107/S0021889895006868.
- Dionnet B., Francois M., Sprauel J. M., et al. The influence of cylindrical geometry on X-ray stress tensor analysis. Applications. J. Appl. Cryst. 1999. Vol. 32, part 5. P. 883–891. DOI: 10.1107/S0021889899003829.
Copyright (c) 2017 Journal of the Belarusian State University. Physics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)