Problem of Thermoelasticity of the Composite Bar with a Plain Axis of an Arbitrary Shape in the Natural Coordinate System / Задача термопружності для композитного бруса із плоскою віссю довільної форми у природній системі координат

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dc.contributor.authorКовальчук, Станіслав Богданович
dc.date.accessioned2020-02-13T14:10:52Z
dc.date.available2020-02-13T14:10:52Z
dc.date.issued2019-12
dc.descriptionHeterogeneity of the structure of composite construction elements leads to temperature deformations and strains within them, even when staying in a stationary uniform temperature field. Therefore, for such elements, it is necessary to take into account changes in a temperature field while in operation when predicting their strength and rigidity. Among the scientific papers devoted to the problems of thermal elasticity of composite elements, multilayer plates and shells and rectilinear bars are predominantly considered. At the same time, thermal elasticity of composite rod elements with a curvilinear axis remains a poorly studied problem of applied mathematics and mechanics. In this paper, we obtained equations and formed boundary conditions of different types for the coupled thermal conductivity problem of the curvilinear composite bar with invariable length structure in its natural coordinate system. The equations describe the process of propagation of a temperature field taking into account a deformation field inside a discrete-inhomogeneous composite bar consisting of homogeneous or continuous-inhomogeneous phases with curvilinear orthotropy of thermophysical and elastic characteristics and containing internal sources of heat. On the basis of the accepted general initial data on the shape of outer bar surfaces and internal bar structure, the boundary conditions of three types are obtained in the natural coordinate system and the conditions of heat transfer at the boundary of phases in case of their ideal thermal contact and in the presence of contact thermal resistance are made out. The obtained equations, along with the system of elasticity theory equations in the natural coordinate system, integral and differential dependences for internal force factors and relations for modeling loads of various types developed in previous papers, represent the necessary analytical basis for solving a wide range of problems as to thermoelastic deformation of composite bars with a plain axis of an arbitrary shape.uk_UA
dc.identifier.issn24-15-39-66
dc.identifier.urihttps://dspace.pdau.edu.ua/handle/123456789/7394
dc.subjectcurvilinear baruk_UA
dc.subjectcurvilinear flat axisuk_UA
dc.subjectnatural coordinate systemuk_UA
dc.subjecttemperature fielduk_UA
dc.subjectheat flowuk_UA
dc.subjectthermoelastic deformationuk_UA
dc.subjectкриволінійний брусuk_UA
dc.subjectкриволінійна плоска вісьuk_UA
dc.subjectприродна система координатuk_UA
dc.subjectтемпературне полеuk_UA
dc.subjectтепловий потікuk_UA
dc.subjectтермопружне деформуванняuk_UA
dc.subjectкриволинейный брусuk_UA
dc.subjectкриволинейная плоская осьuk_UA
dc.subjectестественная система координатuk_UA
dc.subjectтемпературное полеuk_UA
dc.subjectтепловой потокuk_UA
dc.subjectтермоупругое деформированиеuk_UA
dc.titleProblem of Thermoelasticity of the Composite Bar with a Plain Axis of an Arbitrary Shape in the Natural Coordinate System / Задача термопружності для композитного бруса із плоскою віссю довільної форми у природній системі координатuk_UA
dc.typeArticleuk_UA
local.department4.4 Кафедра загальнотехнічних дисциплінuk_UA
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