Geodesic
A form of the elastic potential for a high-elastic material
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 24-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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A form of the elastic potential is proposed. A number of experiments and a procedure of determining the material constants and functions are considered. With the use of known experimental data, an expression of the elastic potential for the vulcanized rubber is obtained as an example. 
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G. Z. Sharafutdinov; P. V. Chistyakov. A form of the elastic potential for a high-elastic material. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 24-29. http://geodesic.mathdoc.fr/item/VMUMM_2013_2_a4/

[1] Treloar L., Fizika uprugosti kauchuka, IL, M., 1953

[2] Grin A., Adkins Dzh., Bolshie uprugie deformatsii i nelineinaya mekhanika sploshnoi sredy, Mir, M., 1965 | MR

[3] Oden Dzh., Konechnye elementy v nelineinoi mekhanike sploshnykh sred, Mir, M., 1976

[4] Sharafutdinov G.Z., “Odnoosnoe rastyazhenie plastinki s kruglym otverstiem pri konechnykh deformatsiyakh”, Vestn. Mosk. un-ta. Matem. Mekhan., 2011, no. 1, 48–53

[5] Pozdeev A.A., Trusov P.V., Nyashin Yu.I., Bolshie uprugoplasticheskie deformatsii: teoriya, algoritmy, prilozheniya, Nauka, M., 1986 | MR

[6] Morozov N.F., Lektsii po izbrannym voprosam mekhaniki sploshnykh sred, Izd-vo Leningrad. un-ta, L., 1975 | MR

[7] Sharafutdinov G.Z., Demin V.A., “Metod geometricheskoi linearizatsii v tekhnologicheskikh zadachakh nelineinogo deformirovaniya”, Uprugost i neuprugost, Izd-vo MGU, M., 2001, 452–453

[8] Demin V.A., Sharafutdinov G.Z., “Metod geometricheskoi linearizatsii v zadachakh nelineinogo deformirovaniya”, Mechanika, 24, Dzial wydawnictw i poligrafii, Bialystok, 200, 123–127

[9] Goldenblat I.I., Nekotorye voprosy mekhaniki deformiruemykh sred, GITTL, M., 1955 | MR

[10] Landau L.D., Lifshits E.M., Teoreticheskaya fizika, v. 7, Teoriya uprugosti, Nauka, M., 1987 | MR

[11] Sharafutdinov G.Z., “O postoyannykh Lame i opredelyayuschikh sootnosheniyakh mekhaniki deformiruemykh tel”, Vestn. Mosk. un-ta. Matem. Mekhan., 2004, no. 1, 55–58

[12] Ilyushin A.A., Plastichnost, OGIZ GITTL, M.–L., 1948 | MR

[13] Sharafutdinov G.Z., “Teoriya deformatsii”, Izv. MGIU, 2008, no. 1, 92–111

[14] Vardanyan G.S., Musatov L.G., Pavlov V.V., “Prisposoblenie dlya dvukhosnogo nagruzheniya ploskikh obraztsov”, Zavodskaya laboratoriya, 1969, no. 2, 225–226

[15] Sharafutdinov G.Z., “Osesimmetrichnaya deformatsiya tolstostennoi truby iz vysokoelastichnogo materiala”, Izv. RAN. Mekhan. tverdogo tela, 2009, no. 2, 108–120