Temperature Stresses in a Functionally Graded Cylindrical Shell

For functionally gradient isotropic circular cylindrical shells, we propose the nonstationary heatconduction and thermoelasticity equations with appropriate boundary conditions. The thermoelasticity equations take into account both transverse shear and transverse normal strains. The temperature dist...

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Bibliographic Details
Published inMaterials science (New York, N.Y.) Vol. 54; no. 5; pp. 666 - 677
Main Authors Кushnir, R. М., Zhydyk, U. V.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2019
Springer
Springer Nature B.V
Subjects
Boundary conditions
Ceramics
Cermets
Characterization and Evaluation of Materials
Chemistry and Materials Science
Cylindrical shells
Fourier transforms
Functionally gradient materials
Laws, regulations and rules
Materials Science
Mathematical analysis
Metals (Materials)
Shells
Solid Mechanics
Structural Materials
Temperature distribution
Thermoelasticity
Thickness
cylindrical shell
temperature load
thermoelasticity
functionally graded material
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Summary:For functionally gradient isotropic circular cylindrical shells, we propose the nonstationary heatconduction and thermoelasticity equations with appropriate boundary conditions. The thermoelasticity equations take into account both transverse shear and transverse normal strains. The temperature distribution over the thickness of the shell is assumed to be linear. As the shell material, we take a metal–ceramics composite. The volume fractions of these components vary across the thickness of the shell according to a power law. The solution of the quasistatic problem of thermoelasticity for a finite simply supported shell subjected to local heating is obtained by the methods of Fourier and Laplace transformations.
ISSN:1068-820X
1573-885X
DOI:10.1007/s11003-019-00231-0