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IssuesArchive of Issues2011-1pp.15-20

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R.A. Vasin, "Theory of Elastoplastic Processes and Study of Structure-Mechanical Properties of Materials," Mech. Solids. 46 (1), 15-20 (2011)
Year 2011 Volume 46 Number 1 Pages 15-20
DOI 10.3103/S0025654411010031
Title Theory of Elastoplastic Processes and Study of Structure-Mechanical Properties of Materials
Author(s) R.A. Vasin (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, prof.vasin@mail.ru)
Abstract The prospects of application of A. A. Il'yushin's theory of elastoplastic processes when studying structure-mechanical properties of materials are discussed. It is shown that the idea to classify material strain processes by their complexity, which was proposed in the theory of elastoplastic processes, allows one to form task-oriented data banks (DB) of structure-mechanical properties of materials in a new way. These DB can also be used to estimate the physical reliability of solutions of boundary value problems in the process of obtaining products with prescribed functional properties by using some information about the structure state of the material.
Keywords theory of elastoplastic processes, structure-mechanical properties of materials, microstructure, data bank, boundary value problem, physical reliability of solution
References
1.  A. A. Il'yushin, "On the Relation between Stresses and Small Strains in Continuum Mechanics," Prikl. Mat. Mekh. 18 (6), 641-666 (1954) [J. Appl. Math. Mech. (Engl. Transl.)].
2.  A. A. Il'yushin, Plasticity. Foundations of Mathematical Theory (Izd-vo AN SSSR, Moscow, 1963) [in Russian].
3.  V. P. Degtyarev, "Approximate Solution of the Genesis Problem of Initial Properties and States," Probl. Prochn., No. 12, 17-20 (1975) [Strength of Materials (Engl. Transl.) 7 (12), 1445-1449 (1975)].
4.  R. A. Vasin and F. U. Enikeev, Introduction to the Mechanics of Superplasticity, Part 1 (Gilem, Ufa, 1998) [in Russian].
5.  O. V. Dmitriev, "On the Possibility of Obtaining Superplastic Properties of Metals under Multiple Compression," Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 3, 66-69 (1992) [Moscow Univ. Math. Bull. (Engl. Transl.)].
6.  A. A. Korshunov, F. U. Enikeev, M. I. Mazurskii, et al., "Influence of the High-Temperature Loading Method on the Transformation of a Lamellar Structure in Titanium Alloy VT-9," Izv. Ross. Akad. Nauk. Metally, No. 3, 121-126 (1994).
7.  O. I. Bylia and R. A. Vasin, "On Correlation between the Material Loading History and Its Structure Evolution in the Superplasticity Mode," in Strength and Plasticity, Vol. 2: Proc. Intern. Conf. (Moscow, 1996), pp. 33-38 [in Russian].
8.  O. I. Bylia, R. A. Vasin, A. G. Ermachenko, et al., "The Influence of Simple and Complex Loading on Structure Changes in Two-Phase Titanium Alloy," Scripta Mater. 36 (8), 949-954 (1997).
9.  A. G. Ermachenko, R. A. Vasin, and and F. U. Enikeev, "On the Use of the Data Bank of Structure-Mechanical Properties of Materials in Design of Progressive Technological Processes of Manufacturing of Improved Reliability Products," Mat. Modelirovanie Syst. Prots., No. 9, 20-32 (2001).
10.  O. S. Grachev and R. A. Vasin, "Statement and Method for Solving the Optimization Problem of Element Pressing," Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya, Nos. 9-10, 72-73 (1993) [Steel in Translation (Engl. Transl.)].
11.  V. A. Vasenin, R. A. Vasin, A. S. Kozitsyn, and A. S. Shundeev, "The Information-Expert System for Investigation of Structural and Mechanical Properties of Materials," Avtomat. Telemekh., No. 7, 171-178 (2005) [Automat. Remote Control (Engl. Transl.) 66 (7), 1177-1184 (2005)].
Received 01 September 2010
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