Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2012-4pp.448-453

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N.A. Roganova and G.Z. Sharafutdinov, "Identification of Mechanical Properties of Inhomogeneous Materials," Mech. Solids. 47 (4), 448-453 (2012)
Year 2012 Volume 47 Number 4 Pages 448-453
DOI 10.3103/S0025654412040097
Title Identification of Mechanical Properties of Inhomogeneous Materials
Author(s) N.A. Roganova (Moscow State Industrial University, Avtozavodskaya†16, Moscow, 115280 Russia,
G.Z. Sharafutdinov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia,
Abstract In the present paper, the stress-strain state of tubes made of inhomogeneous elastic materials is considered. We discuss what causes the onset of inhomogeneity and solve a problem for a tube consisting of an inhomogeneous and a homogeneous layer. It is shown how the variations in the thickness ratio of the homogeneous and inhomogeneous material layers affect the values of the longitudinal and circular deformations on the external surface of the tube under the action of constant internal pressure; it is noted that this effect can be used to monitor the pipeline state and to ensure its safe operation. A method for identifying mechanical properties of deformable inhomogeneous materials is proposed; this method is based on the use of thick-walled tubular specimens in calibration tests, which is especially convenient when analyzing the action of aggressive media or radiation on the properties of deformable materials.
Keywords thick-walled tube, identification of mechanical properties of inhomogeneous materials, plane deformation, analytic solutions
1.  G. B. Kolchin, Calculation of Structural Elements of Elastic Inhomogeneous Materials (Kartya Moldovenyaske, Kishinev, 1971) [in Russian].
2.  V. A. Lomakin, Theory of Elasticity of Inhomogeneous Bodies (Izd-vo MGU, Moscow, 1976) [in Russian].
3.  A. M. Lokoshchenko, Creep and Long-Term Strength of Metals in Aggressive Media (Izd-vo MGU, Moscow, 2000) [in Russian].
4.  A. A. Il'yushin and V. S. Lenskii, Strength of Materials (Fizmatlit, Moscow, 1959) [in Russian].
5.  V. Ol'shak, Ya. Rykhlevskii, and V. Urbanovskii, Theory of Plasticity of Inhomogeneous Bodies (Mir, Moscow, 1964) [in Russian].
6.  A. A. Il'yushin, Plasticity (Gostechizdat, Moscow-Leningrad, 1948) [in Russian].
7.  L. R. G. Treloar, The Physics of Rubber Elasticity (Oxford University Press, New York, 1949; Izd-vo AN SSSR, Moscow, 1953) [in Russian].
8.  A. A. Il'yushin and P. M. Ogibalov Elastoplastic Deformations of Hollow Cylinders (Izd-vo MGU, Moscow, 1960) [in Russian].
9.  G. Z. Sharafutdinov, "Several Axially Symmetric Problema for an Elastic Inhomogeneous Thick-Walled Tube," Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 2, 34-39 (2008).
10.  G. Z. Sharafutdinov, "Axisymmetric Strain of a Thick-Walled Pipe Made of a Highly Elastic Material," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 108-120 (2009) [Mech. Solids (Engl. Transl.) 44 (2), 257-268 (2009)].
11.  G. Z. Sharafutdinov, "On Lame Constants and Constitutive Relations of Mechanics of Deformable Bodies," Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 1, 55-58 (2004).
12.  A. M. Lokoshchenko, Modeling of Creep Process and Long-Term Strength of Metals (MGIU, Moscow, 2007) [in Russian].
Received 13 January 2010
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