Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-19T05:43:55.676Z Has data issue: false hasContentIssue false
  • English
  • Français

Estimation of Ahisotropy of X-Ray Elastic Modulus in Steel Sheets

Published online by Cambridge University Press:  06 March 2019

Shin-ichi Nagashima ,
Masaki Shiratori  and
Ryuichi Nakagawa
Shin-ichi Nagashima
Affiliation:
Yokohama National University Department of Engineering 156 Tokiwadai, Hodogaya-kuYokohama, 240 Japan
Masaki Shiratori
Affiliation:
Yokohama National University Department of Engineering 156 Tokiwadai, Hodogaya-kuYokohama, 240 Japan
Ryuichi Nakagawa
Affiliation:
Yokohama National University Department of Engineering 156 Tokiwadai, Hodogaya-kuYokohama, 240 Japan
Get access

Extract

The oscillation from a linear relation in the 20 vs. sin2ψ diagram has been a most important problem in X-ray stress measurement. There are, therefore, a number of papers concerned with the X-ray elastic constant, lattice strains under stresses and evaluation of stresses of textured materials.

The purpose of the present study is to analyze the three-dimensional orientation distribution of steel sheets by means of the Vector method proposed by Ruer and Baro, and to calculate the elastic modulus of textured sheets by means of a finite element method (FEM) using the three-dimensional orientation distribution, and then to calculate the strain/stress ratios vs. the directions defined by the angles between the specimen normal and the normal to the diffracting planes.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 29: Thirty-Fourth Annual Conference on Applications of X-ray Analysis, August 5-9, 1985 , 1985 , pp. 21 - 28
Copyright
Copyright © International Centre for Diffraction Data 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Taira, G. and Hayashi, K.,.X-Ray Investigation of polycrystalline Materials (On the Effect of Fiber Texture on the Elastic Constants of a- Iron, Proc. 13th Japan Cong, on Materials Research 20-24 (1970).Google Scholar
2. Shiraiwa, T. and Sakamoto, Y., The X-Ray Stress Measurement of the Deformed Steel Having Preferred Orientation, Proc. 13th Japan Cong. on Materials Research 25-32 (1970).Google Scholar
3. Hauk, V., Herlach, D. und Sesemann, H., Uber nichtlineare Gitterebenenab- Standsverteilungen in Stählen, ihre Entstehung, Berechnung und Berücksichtigung bei der Spannungsermittlung, Z. Metallkde. 66:734- 737 (1975).Google Scholar
4. Hauk, V. und Sesemann, H., Abweichungen von linearen Gitterebenenabstands verteilungen in kubischen Metalien und ihr Berücks ichtigung beider röntgenographischen Spannungsermittlung, Z. Metallkde, 67: 646-650 (1976).Google Scholar
5. Marion, R.H. and Cohen, J.B., The Heed for Experimentally Determined X-Ray Elastic Constants, Advances in X-ray Analysis 20: 355-377 (1977).Google Scholar
6. Dölie, H., The Influence of Multiaxial Stress States, Stress Gradients and Elastic Anisotropy on the Evaluation of (Residual) Stresses by X-Rays, Appl. Cryst, 12: 489-501 (1979).Google Scholar
7. Honda, K., Hosokawa, N. and Sarai, T., Effect of Texture on Stress Measured by X-ray Diffraction Method, J. HPT. Japan 26: 539-545 (1977).Google Scholar
8. Honda, K. and Sarai, T., X-Ray Strain Analysis and Elastic Deformation of Polycrystalline Metals, J. Soc. Mat. Sci. Japan 33: 367-373 (1984)Google Scholar
9. Voigt, W., Lehrbuch der Kristallphysik (Leipzig, Teubner Verlag), 716 (1928).Google Scholar
10. Reuss, A., Angew, Z.. Math. Mech., 9: 49 (1929)Google Scholar
11. Ruer, D. and Baro, R., A new Method for the Determination of the Texture of Materials of Cubic Structure from Incomplete Rëflection Pole Figures, Advances in X-ray Analysis 20: 187-200 (1977).Google Scholar
12. Nagashima, S., A new Method for the Three Dimensional Analysis of Preferred Orientation of Metallic Materials, Korean, J. Inst. Metals 22: 41-52 (1984).Google Scholar
13. Nagashima, S., Shlratori, T. and Fujiu, T., The Estimation of Elastic Constants for the X-Ray Stress Analysis of Textured Metallic Materials, Proc. IC0T0M. : Vol. II. 1148-1157 (1981).Google Scholar
14. Nagashima, S., Shiratori, M. and Matsukawa, K., “The Effect of Grain Distribution on the Elastic Moduli in Metallic Materials Which Give the Same Pole Figure, Trans. ISIJ. 23:B-26 (1983).Google Scholar
15. Hill, R., Proc. Phys. Soc., A65: 349 (1952).Google Scholar