An analytical solution to the problem of thermoelastic bending of a multilayer beam with different temperature of longitudinal faces

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dc.contributor.authorКовальчук, Станіслав Богданович
dc.contributor.authorГорик, Олексій Володимирович
dc.date.accessioned2021-07-06T09:34:57Z
dc.date.available2021-07-06T09:34:57Z
dc.date.issued2021-06
dc.descriptionAn exact analytical solution of the quasistatic problem of thermoelasticity is presented for a section of a narrow multilayer beam with different temperatures of the longitudinal lower and upper faces and a heat flow of arbitrary height across the sections through the lateral faces. The solution was obtained for the entire package of layers by sequentially solving the heat equation for an inhomogeneous beam, taking into account the ideal thermal contact of the layers and the system of equations of the plane problem of the theory of elasticity under the assumption of a rigid connection of the layers. To take into account the inhomogeneity of the beam, a continuum approach is used, in which the multilayer material is considered continuous with variable physical and mechanical characteristics. The resulting relations take into account the orthotropy of the physico-mechanical properties of the materials of the layers and their compliance with the transverse shear and compression strains. An example of implementation of a solution for a five-layer beam with combined rigid and articulated fastening of the ends is given.uk_UA
dc.identifier.doi10.1088/1757-899X/1164/1/012037
dc.identifier.urihttps://dspace.pdau.edu.ua/handle/123456789/11007
dc.subjectmultilayer beamuk_UA
dc.subjectthermoelastic bendinguk_UA
dc.subjectanalytical solutionuk_UA
dc.subjectstressuk_UA
dc.subjectstrainsuk_UA
dc.subjectdisplacementuk_UA
dc.subjectбагатошаровий брусuk_UA
dc.subjectтермопружний згинuk_UA
dc.subjectаналітичний розв'язокuk_UA
dc.subjectнапруженняuk_UA
dc.subjectдеформаціїuk_UA
dc.subjectпереміщенняuk_UA
dc.subjectмногослойный брусuk_UA
dc.subjectтермоупругий изгибuk_UA
dc.subjectаналитическое решениеuk_UA
dc.subjectнапряженияuk_UA
dc.subjectдеформацииuk_UA
dc.subjectперемещенияuk_UA
dc.titleAn analytical solution to the problem of thermoelastic bending of a multilayer beam with different temperature of longitudinal facesuk_UA
dc.typeArticleuk_UA
local.department4.4 Кафедра загальнотехнічних дисциплінuk_UA
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