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CONTENT PHYSICAL AND MATHEMATICAL SCIENCES Vabishchev P. N., Vasilieva M. V. Numerical simulation of thermoelasticity problem.....................................................................................3 BIOLOGICAL SCIENCES Pesterev A. P. Soil covering in the West of Yakutia.........................................................................................................................................8 Sviridenko B. F., Efremov A. N., Sviridenko T. V. New to the algal fl ora of the Republic of Sakha (Yakutia) macroscopic algae species (Zygnematales, Vaucheriales).........................................................................................................................................................................15 GEOLOGICAL AND MINERALOGICAL SCIENCES Dmitriev E. P., Pomortsev O. A., Tretyakov M. F., Popov V. F., Loskutov E. E., Vasilyeva O. I. Peculiarities of the geomorphological structure of the river West Khandyga upstream............................................................................................................................................20 . ECONOMIC SCIENCES Mezhakov V. Z., Serebrennikov V. I., Akhremenko T. V. Regional aspects of the land use and the administrative region’s land resources protection........................................................................................................................................................................................................27 Okorokov A. I. About the condition and development of house northern reindeer farming in the Republic of Sakha (Yakutia).................33 PHILOSOPHIC SCIENCES Ievlev E. K. A. I. Sofronov and spiritual humanism.......................................................................................................................................38 PHILOLOGICAL SCIENCES Dorzhu Ch. M. Revisiting the origin of the prosodic phenomenon in the phonological system of Tuvinian language.................................43 Ivanov V. N. Revisiting of comparative-historical study of olonkho and the epos of Turkic people..............................................................48 Ivanova N. I. The linguistic status of the Russian language in the Republic of Sakha (Yakutia).................................................................53 Malysheva N. V. Lexical-semantic parallels of Yakut and Uigur languages (nouns).....................................................................................58 Myreeva A. N. The philosophic novel in the Yakut prose of 1990th years of the XX th century...................................................................63 Nikaeva Т. М. Ethnic stereotypes in the worldview of Russians, Yakuts, Evenks and Evens........................................................................68 Orosina N. A. Collective activity of the Tattinsky intelligence on the folklore at the end of the XIX century (on the materials of the branch of Saint-Petersburg Archive of RAS).................................................................................................................................................75 Rysbekova S. T. Katanov N. F.: about Turkic roots in Uryankhai and Kazakh languages.............................................................................79 Sizykh O. V. Allusive nature of the story by L. S. Petrushevskaya «Outburst»..............................................................................................82 PEDAGOGICAL SCIENCES Böhm J. Learning as a capacious phenomenon – the example scool meal....................................................................................................86 Vinokurov A. A., Nogovitsyn R. R., Khazankovich Yu. G. Intellectual property management: problems and prospects (from the experience of the NEFU named after M. K. Ammosov)................................................................................................................90 Egorov V. N. Social-pedagogical peculiarities of educational process organization at schools of indigenous peoples of the North.............95 Ekeeva E. V. Traditions of physical upbringing in an Altai family.................................................................................................................98 Ivanova A. V., Prokopyev A. A. Interdisciplinary informational-mathematical competence as a factor of improvement of the quality of lawyers professional training in the conditions of the higher education modernization..............................................................................101 Shemanaev V. K. To the issue of substantiation of professional-pedagogical system of multilevel training of instructors-conductors of sport health-giving tourism......................................................................................................................................................................106 1 ВЕСТНИК СВФУ, 2010, том 7, № 4 MEDICAL SCIENCES Varfolomeeva N. A., Bushkova E. A., Sydykova L. A., Kuzmina A. A., Malogulova I. Sh., Abramova Ya. I. Pharmacotherapy adherence under diabetes mellitus type II in the Republic of Sakha (Yakutia).............................................................................................................111 Ushnitsky I. D., Rogaleva A. S., Belchusova E. A., Ammosova V. N., Petrova N. N., Sheina N. E. The composition and properties of mixed saliva of elderly people living on high latitude............................................................................................................................................115 CHRONICLE Vasiliev V. I., Pavlova N. V. Results of the 2nd International conference on Supercomputer Technologies of Mathematical Modelling.....119 ANNIVERSARIES Arkhipova. S. N. In hallowed memory of Anna Vasilievna Mordovskaya (1958-2012)...............................................................................121 2 PHYSICAL AND MATHEMATICAL SCIENCES UDC 519.63 P. N. Vabishchevich, V. M. Vasilieva Numerical Simulation of Thermoelasticity Problem The paper considers the coupled quasi-stationary linear system of equations for temperature and displacement, describing the thermoelastic behavior of the body. The stability estimates of the studied differential problem are presented. For the numerical solution, we approximate our system using the fi nite elements method, and for approximation by time we use the standard two-layer weighted schemes. The discrete problem has proven stable. The results of the numerical simulation of the model problem of thermoelasticity are presented. Key words: strain-stress state, thermoelasticity, Lame s equation, heat conduction equation, differential and operator equations system, two-layer weighted schemes, stability estimates, a priori estimate, fi nite elements method, numerical simulation. Many applied problems mathematical simulation are quasistationary problem (stationary for displacements and related to the need to calculate the strain-stress state of non-stationary for temperature) can be solved through the solids. In many cases, deformations are caused by use of two-layer weighted scheme [9]. The approximate thermal dilation. To study the deformations, the models of solution for the initial data and the right-hand side under thermoelasticity are used [1-4]. standard weight limits has proven absolutely stable. The basic mathematical models of thermoelasticity We have obtained priori estimate of the approximate include Lame equation for displacements and the heat solution, which is consistent with the corresponding equation. The fundamental point is that the system estimate for the solution of the differential problem. The of equations is tied up: the equation for displacement possibilities of computational algorithm are illustrated comprises volume force proportional to the temperature by the computed data on the model two-dimensional gradient and the temperature equation includes a term problem for the body of rectangular cross section with a describing the compressibility of the medium. circular cutout. In this paper, we describe a computational algorithm Problem statement. From mechanical and heat for solving problems of thermoelasticity. It is based impacts, displacement u, deformation ε and stress σ on the fi nite element approximation of the temperature fi elds occur in the elastic body. Suppose T – constant fi eld and the displacement fi eld in space [5-8]. The absolute temperature at which the body is in an initial equilibrium state, and θ – the temperature increment. Mechanical impact on the body shall mean the impact VABISHCHEVICH Pyotr Nikolaevich – Doctor of Physical of outside forces (volume or surface ones), and heat and Mathematical Sciences, Professor , Head of laboratory of impact shall mean the heat exchange processes between the Institute of Problems of the Safe Development of Nuclear the surface of the body and the environment, and release Power RAS, Leading Scientist-Academic Advisor of the North- or absorption of heat by the sources inside the body. Eastern Federal University named after M.K. Ammosov. The simulation model of the thermoelastic behavior E-mail: [email protected] of the body is described by the coupled system of VASILIEVA Maria Vasilievna – Candidate of Physical and equations for displacements u and the temperature Mathematical Sciences, Chairman of the Department of Parallel increment θ in the system Ω: Technologies of the Center of Computational Technologies ≤°§§© ≤°§ of the Institute of Mathematics and Informatics of the North- ≤°§§© ≤°§ (1)
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