Please use this identifier to cite or link to this item: http://dspace.pdaa.edu.ua:8080/handle/123456789/11007
Title: An analytical solution to the problem of thermoelastic bending of a multilayer beam with different temperature of longitudinal faces
Authors: Ковальчук, Станіслав Богданович
Горик, Олексій Володимирович
Keywords: multilayer beam
thermoelastic bending
analytical solution
stress
strains
displacement
багатошаровий брус
термопружний згин
аналітичний розв'язок
напруження
деформації
переміщення
многослойный брус
термоупругий изгиб
аналитическое решение
напряжения
деформации
перемещения
Issue Date: Jun-2021
Description: An 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.
URI: http://dspace.pdaa.edu.ua:8080/handle/123456789/11007
Appears in Collections:Міжнародні видання

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