Applying Gaussian distributions on SO(3) for modeling the texture and predicting the properties of texturized polycrystalline materials / Berestova S.A., Misyura N.E., Mityushov E.A. // AIP Conference Proceedings. - 2016. - V. 1785, l. .

ISSN:

0094243X

Type:

Conference Paper

Abstract:

This paper considers a quantitative description of the crystallographic texture. When the crystallographic texture is modeled, the generalized Gaussian distribution is applied on Riemannian manifolds. A simple model of the orientation distribution function (ODF) is obtained, which corresponds to the Gaussian distribution of the axial crystallographic texture. It is demonstrated that an equally probable distribution of crystallographic axes and an ideal axial texture are realized as special cases of the ODF model. An anisotropy evaluation of elastic modulus is carried out. The indicatrix transformation of Young's modulus is demonstrated. © 2016 Author(s).

Author keywords:

Index keywords:

нет данных

DOI:

10.1063/1.4967026

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013220248&doi=10.1063%2f1.4967026&partnerID=40&md5=a748b0bdcc48ee70a78f6a4b02f58667

Соавторы в МНС:

—

Другие поля

Поле	Значение
Art. No.	030005
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013220248&doi=10.1063%2f1.4967026&partnerID=40&md5=a748b0bdcc48ee70a78f6a4b02f58667
Affiliations	B. N. Yeltsyn Ural Federal University, Institute of Profound Learning, Engineering Mechanics Department, Sverdlovsk Obl., Ekaterinburg, ul. Mira 19, Russian Federation
References	Savelova, T.I., Bukharova, T.I., (1996) Predstavlenie Gruppy SU(2) i Ikh Primenenie, p. 114. , (in Russian) (Representation of SU(2) groups and their representation) (Moscow, MIFI); Savyolova, T.I., (1984) Ind. Lab., 50, pp. 468-474; Matthies, S., Muller, J., Vinel, G.W., (1988) Textures Microstruct., 10, pp. 77-96; Nikolayev, D.I., Savyolova, T.I., (1997) Textures Microstruct., 29, pp. 201-233; Borovkov, M., Savyolova, T., (2007) J. Appl. Cryst., 40, pp. 449-455; Qiu, Y., Nordman, D.J., Vardeman, S.B., (2014) Statistica Sinica, 24, pp. 897-917; Pennec, X., (1999) Int. Workshoon Nonlinear Signal and Image Processing (NSIP'99) Antalya, , Turkey, June 20-23; Shermergor, T.D., (1977) Teoriya Uprugosti Mikroneodnorodnykh Sred, p. 400. , (in Russian) (Theory of microelasticity of anisotropic continuums) (Moscow, Nauka); Vasserman, G., Greven, I., (1969) Tekstury Metallicheskikh Materialov, p. 655. , (in Russian) (Textures of metal materials) (Moscow, Mettalurgia)
Correspondence Address	Berestova, S.A.; B. N. Yeltsyn Ural Federal University, Institute of Profound Learning, Engineering Mechanics Department, Sverdlovsk Obl., Ekaterinburg, ul. Mira 19, Russian Federation; email: s.a.berestova@yandex.ru
Editors	Gorkunov E.S.Ramasubbu S.Panin V.E.
Publisher	American Institute of Physics Inc.
Conference name	10th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures, MRDMS 2016
Conference date	16 May 2016 through 20 May 2016
Conference code	126244
ISBN	9780735414471
Language of Original Document	English
Abbreviated Source Title	AIP Conf. Proc.
Source	Scopus