Two-Dimensional Problem of Thermoelasticity for a Half Space in the Presence of Heat Release in a Ribbon-Shaped Domain Parallel to its Boundary

Journal Article · Tue Jan 15 00:00:00 EST 2019 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-4104-6· OSTI ID:22773574

Kit, H. S.; Ivas’ko, N. M. ^[1]

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1. Ukrainian National Academy of Sciences, Pidstryhach Institute for Applied Problems in Mechanics and Mathematics (Ukraine)

Using a logarithmic single-layer potential, thermoelastic displacement potential, Airy stress function, and Boussinesq function, we solve two-dimensional problems of stationary heat conduction and thermoelasticity under the conditions of plane deformation of a semiinfinite body in the presence of heat release in a ribbon-shaped domain parallel to its boundary (in this domain, either a temperature or a heat flux is given). The boundary of the body is kept at temperature equal to zero. We study the distribution of stresses in the domain of heat release with given heat sources of constant intensity at constant temperature.

• OSTI ID: 22773574
• Journal Information: Journal of Mathematical Sciences, Vol. 236, Issue 2; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
DEFORMATION
FUNCTIONS
HEAT
HEAT FLUX
HEAT SOURCES
STRESSES
THERMAL CONDUCTION
THERMOELASTICITY
TWO-DIMENSIONAL SYSTEMS