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Double variational adjustment for estimation of hot structural state, consisting of elastic and plastic-rigid area

Annotation

The double variational adjustment on research of stress-strain behavior of construction, made of non-homogeneous plastic-rigid but also of linear elastic material is achieved. Basing on variational principles of elasticity theory and flow theory were built functionals, having extreme features. The example of calculation is given.

Keywords

variational principles of elasticity theory; variational principles of plasticity theory; rigid plastic body; thermal mechanics; elastic plastic straining

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DOI

10.20310/1810-0198-2017-22-1-19-22

UDC

51-72

Pages

19-22

References

1. Rozin L.A. Variatsionnye postanovki zadach dlya uprugikh system [Variational Goals’ Setting for Elastic Systems]. Leningrad, Pushkin Leningrad State University Publ., 1978, 223 p. (In Russian). 2. Zarubin V.S. Prikladnye zadachi termoprochnosti elementov konstruktsiy [Applied Tasks of Thermostability of Construction Elements]. Moscow, Mashinostroenie Publ., 1985, 293 p. (In Russian). 3. Kachanov L.M. Osnovy teorii plastichnosti [Basic Theory of Plasticity]. Moscow, Nauka Publ., 1967, 420 p. (In Russian). 4. Zarubin V.S., Krasnovskiy E.E. Dvoystvennaya variatsionnaya postanovka zadachi deformatsionnoy teorii termoplastichnosti anizotropnykh tel [Double variational statement of deformational theory of thermoplasticity of anisotropic body]. Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N.E. Baumana. Seriya: Estestvennye nauki – Herald of the Bauman Moscow State Technical University. Series Natural Sciences, 2005, no. 1 (16), pp. 41-54. (In Russian). 5. Kuvyrkin G.N., Temis Yu.M. Prikladnye zadachi termoplastichnosti i termopolzuchesti [Applied tasks of thermoplasticity and thermal creep]. Mashinostroenie. T. 1–3. Kn. 1 [Engineering. Vol. 1–3. Book. 1]. K.S. Kolesnikov (ed.). Moscow, Mashinostroenie Publ., 1994, pp. 226-227. (In Russian). 6. Geogdzhaev V.O. K voprosu o teorii uprugoplasticheskoy deformatsii anizotropnykh materialov [To the issue of elastoplastic deformation of anisotropic materials]. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie – Proceedings of Higher Educational Institutions. Маchine Building, 1956, no. 3–4, pp. 9-13. (In Russian). 7. Kostin G.V., Saurin V.V. Integro-differentsial'naya postanovka i variatsionnyy metod resheniya zadach lineynoy teorii uprugosti [An integro-differential formulation and a variational method of solving linear elasticity problems]. Problemy prochnosti i plastichnosti – Problems of Strength and Plasticity, 2005, no. 67, pp. 190-198. (In Russian). 8. Markin A.A., Sokolova M.Yu. Termomekhanika uprugoplasticheskogo deformirovaniya [Thermo-Mechanics of Elastic-Plastic Deformation]. Moscow, Fizmatlit Publ., 2013, 319 p. (In Russian). 9. Popova T.S. Zadacha o ravnovesii vyazkouprugogo tela s treshchinoy i tonkim zhestkim vklyucheniem [Task of viskoelastic body with fractures and thin rigid inclusion]. Matematicheskie zametki Severo-Vostochnogo federal'nogo universiteta – Yakutian Mathematical Journal, 2014, vol. 21, no. 2, pp. 94-105. (In Russian). 10. Gorshkov A.V., Spevak L.F. Reshenie trekhmernykh zadach deformirovaniya neodnorodnykh oblastey metodom razdeleniya peremennykh, osnovannym na variatsionnoy postanovke [Solution of three-dimensional deformation problems for heterogeneous areas using the variable separation method based on a variational formulation]. Mezhdunarodnyy zhurnal prikladnykh i fundamental'nykh issledovaniy – International Journal of Applied and Fundamental Research, 2015, no. 6-2, pp. 218-223. (In Russian). 11. Vasidzu K. Variatsionnye metody v teorii uprugosti i plastichnosti [Variational Methods in Theory of Elasticity and Plasticity]. Moscow, Mir Publ., 1987, 542 p. (In Russian).

Received

2016-11-24

Section of issue

Mathematics

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