Using a texture database, a statistical estimation of
spring-back was conducted in this study on the basis of statistical
analysis. Both spring-back in bending deformation and experimental
data related to the crystal orientation show significant dispersion.
Therefore, a probabilistic statistical approach was established for the
proper quantification of these values. Correlation was examined
among the parameters F(x) of spring-back, F(x) of the buildup fraction
to three orientations after 92° bending, and F(x) at an as-received part
on the basis of the three-parameter Weibull distribution. Consequent
spring-back estimation using a texture database yielded excellent
estimates compared with experimental values.
 T. Sakai, T. Norichika and H. Morimoto, JCOSSAR2011-A, Vol. 7, pp.
 S. Kikuta, T. Sakai, H. Omata and J. Koyama, JCOSSAR2011-A, Vol. 7,
pp. 548-553, (2011).
 T. Sakai, T. Hirao, H. Omata and J. Koyama, JCOSSAR2011-A, Vol. 7,
pp. 554-559, (2011).
 A. Ueno, A. Sakaida, M. Matsuoka, T. Sakai, K. Okada, K. Harada, H.
Yoshizu, J. Kikuchi and T. Sakai, JCOSSAR2003-A, Vol. 5, pp. 459-464,
 W. J. Weibull, Appl. Mech., Vol. 18, pp. 291-297, (1951).
 T. Sakai, T. Hirao, H. Omata and J. Koyama, Journal of the JSTP, Vol. 54,
No. 625, pp. 158-162, (2013).