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- Title
Determination of the Static Thermoelastic State of Layered Thermosensitive Plate, Cylinder, and Sphere.
- Authors
Protsiuk, B. V.
- Abstract
We propose a method for the determination of static thermoelastic states of multilayer bodies of canonical shapes with regard for the thermal radiation, convective heat exchange, and arbitrary temperature dependences of the physical and mechanical characteristics of the material under the action of surface and volume heat sources. For the solution of the corresponding heat-conduction and thermoelasticity problems with piecewise constant characteristics, we use the Kirchhoff transformation, Newton iterative method, generalized functions, and Green functions. The results of numerical investigations are presented.
- Subjects
HEAT radiation &; absorption; NEWTON-Raphson method; GREEN'S functions; THERMOELASTICITY
- Publication
Journal of Mathematical Sciences, 2023, Vol 274, Issue 5, p678
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06630-8