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References
B. A. Auld,Acoustic Fields and Waves in Solids, Vol. 1, 2nd edn. Krieger (Malabar, Florida) (1990).
J.-P. Boehler, A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy.ZAMM 59 (1979) 157–167.
J.-P. Boehler (ed.),Applications of Tensor Functions in Solid Mechanics. Springer (Wien, etc.) (1987).
A. V. Clark, Y. Berlinsky, N. Izworski, Y. Cohen, D. V. Mitrakovíc and S. R. Schaps, Methods to improve the accuracy of on-line ultrasonic measurement of steel sheet formability.J. Nondest. Eval., 12 (1993) 33–43.
G. J. Davies, D. J. Goodwill and J. S. Kallend, Elastic and plastic anisotropy in sheets of cubic metals.Metall. Trans. 3 (1972) 1627–1631.
R. Hill, A theory of yielding and plastic flow of anisotropic metals.Proc. Roy. Soc. A 193 (1948) 281–297.
R. Hill,The Mathematical Theory of Plasticity, Clarendon Press, Oxford (1950).
M. Hirao, K. Aoki and H. Fukuoka, Texture of polycrystalline metals characterized by ultrasonic velocity measurements.J. Acoust. Soc. Am. 81 (1987) 1434–1440.
M. Hirao, H. Fukuoka, K. Fujisawa and R. Murayama, On-line measurement of steel sheet r-value using magnetostrictive-type EMAT.J. Nondest. Eval. 12 (1993) 27–32.
K. Kawashima, T. Hyoguchi and T. Akagi, On-line measurement of plastic strain ratio of steel sheet using resonance mode EMAT.J. Nondest. Eval. 12 (1993) 71–77.
W. Y. Lu, J. G. Morris and Q. Gu, Ultrasonic measurement of the earing behavior of aluminum plate. In D. O. Thompson and D. E. Chimenti (eds.),Review of Progress in Quantitative Nondestructive Evaluation, Vol. 10B. Plenum Press, New York (1991), pp. 1983–1990.
C.-S. Man, On the acoustoelastic earing coefficient of plastically prestrained sheets. In Chien Wei-zang (ed.),Proceedings of the 2nd International Conference on Nonlinear Mechanics. Peking University Press, Beijing, China (1993), pp. 66–71.
C.-S. Man, Elastic compliance and Hill's quadratic yield function for weakly orthotropic sheets of cubic metals.Metall. Mater. Trans. A, 25A (1994) 2835–2837.
R.-J. Man, Correlation of percent earing and texture coefficients in weakly orthotropic sheets of cubic metals. InReview of Progress in Quantitative Nondestructive Evaluation, Vol. 14B, D. O. Thompson and D. E. Chimenti (eds.), Plenum Press, New York (1995), pp. 1923–1930.
R.-J. Roe, Description of crystallite orientation in polycrystalline materials. III. General solution to pole figures.J. Appl. Phys. 36 (1965) 2024–2031.
C. A. Stickels and P. R. Mould, The use of Young's modulus for predicting plastic-strain ratio of low-carbon steel sheets.Metall. Trans. 1 (1970) 1303–1312.
W. Tang, Ultrasonic measurement of texture in metal sheets. Ph.D. dissertation, University of Kentucky, Lexington, December 1993.
R. B. Thompson, E. P. Papadakis, D. D. Bluhm, G. A. Alers, K. Forouraghi, H. D. Skank and S. J. Wormley, Measurement of texture and formability parameters with a fully automated, ultrasonic instrument.J. Nondest. Eval. 12 (1993) 45–62.
R. B. Thompson, J. F. Smith, S. S. Lee and G. C. Johnson, A comparison of ultrasonic and X-ray determinations of textures in thin Cu and Al plates.Metall. Trans. 20A (1989) 2431–2447.
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Man, CS. On the correlation of elastic and plastic anisotropy in sheet metals. J Elasticity 39, 165–173 (1995). https://doi.org/10.1007/BF00043414
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DOI: https://doi.org/10.1007/BF00043414