Influence of a Stationary Heat Source on the Stress State of a Half Space with Rigidly, Smoothly, or Flexibly Fastened Boundary

Journal Article · Mon Jan 15 00:00:00 EST 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-017-3608-9· OSTI ID:22771725

Kit, H. S.; Andriichuk, R. M. ^[1]

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

By using the thermoelastic potential of displacements and the Love biharmonic function, we determine the temperature, displacements, and stresses caused by a stationary heat source in a semiinfinite body whose boundary is rigidly, smoothly, or flexibly fastened either under the conditions of zero temperature kept on it or under the conditions of heat insulation. The plots of the dependences of axial, radial, circular, and tangential stresses on the boundary of the body on the distance between the heat source and this boundary are presented.

• OSTI ID: 22771725
• Journal Information: Journal of Mathematical Sciences, Vol. 228, Issue 2; Other Information: Copyright (c) 2018 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

97 MATHEMATICAL METHODS AND COMPUTING
42 ENGINEERING
DISTANCE
FUNCTIONS
HEAT SOURCES
STRESSES
TEMPERATURE DEPENDENCE
THERMOELASTICITY