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

  • Shin-ichi Nagashima (a1), Masaki Shiratori (a1) and Ryuichi Nakagawa (a1)


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.



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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).
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).
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).
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).
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