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

Abstract

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.

Authors:
;  [1]
  1. Ukrainian National Academy of Sciences, Pidstryhach Institute for Applied Problems in Mechanics and Mathematics (Ukraine)
Publication Date:
OSTI Identifier:
22773574
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal 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); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; DEFORMATION; FUNCTIONS; HEAT; HEAT FLUX; HEAT SOURCES; STRESSES; THERMAL CONDUCTION; THERMOELASTICITY; TWO-DIMENSIONAL SYSTEMS

Citation Formats

Kit, H. S., and Ivas’ko, N. M. Two-Dimensional Problem of Thermoelasticity for a Half Space in the Presence of Heat Release in a Ribbon-Shaped Domain Parallel to its Boundary. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4104-6.
Kit, H. S., & Ivas’ko, N. M. Two-Dimensional Problem of Thermoelasticity for a Half Space in the Presence of Heat Release in a Ribbon-Shaped Domain Parallel to its Boundary. United States. doi:10.1007/S10958-018-4104-6.
Kit, H. S., and Ivas’ko, N. M. Tue . "Two-Dimensional Problem of Thermoelasticity for a Half Space in the Presence of Heat Release in a Ribbon-Shaped Domain Parallel to its Boundary". United States. doi:10.1007/S10958-018-4104-6.
@article{osti_22773574,
title = {Two-Dimensional Problem of Thermoelasticity for a Half Space in the Presence of Heat Release in a Ribbon-Shaped Domain Parallel to its Boundary},
author = {Kit, H. S. and Ivas’ko, N. M.},
abstractNote = {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.},
doi = {10.1007/S10958-018-4104-6},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}