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Thermoelastic strain and stress fields due to a spherical inclusion in an elastic half-space

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Języki publikacji
EN
Abstrakty
EN
In this paper, closed form analytical expressions for thermoelastic strain and stress components due to a spherical inclusion in an elastic half-space are obtained. These expressions are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic displacement potential functions. The thermal strain and stress fields are generated due to differences in the coefficients of linear thermal expansion between a subregion and the surrounding material. The strain and stress components for exterior points of the spherical inclusion are same as those of the center of dilatation. Variations of strain and stress components for exterior and interior points of the spherical inclusion are shown graphically.
Rocznik
Strony
1369--1380
Opis fizyczny
Bibliogr. 31 poz., rys.
Twórcy
autor
  • Guru Jambheshwar University of Science and Technology, Department of Mathematics, Hisar, Haryana, India
autor
  • Guru Jambheshwar University of Science and Technology, Department of Mathematics, Hisar, Haryana, India
Bibliografia
  • 1. Barber J.R., 2002, Elasticity, Second Edition, Kluwer Academic Publishers, Dordrecht
  • 2. Boley B.A., Weiner J.H., 1997, Theory of Thermal Stresses, Dover Publications, New York
  • 3. Boresi A.P., Chong K.P., Lee J.D., 2011, Elasticity in Engineering Mechanics, Third Edition, John Wiley & Sons, Inc., Hoboken, New Jersey
  • 4. Davies J.H., 2003, Elastic field in a semi-infinite solid due to thermal expansion or a coherently misfitting inclusion, Journal of Applied Mechanics, 70, 5, 655-660
  • 5. Duhamel J.M.C., 1837, Second m´emoire sur les ph´enom`enes thermo-m´ecaniques, Journal de l’Ecole Polytechnique, 15, 25, 1-57
  • 6. Goodier J.N., 1937, On the integration of the thermoelastic equations, Philosophical Magazine, 7, 23, 1017-1032
  • 7. Guell D.L., Dundurs J., 1967, Further results on center of dilatation and residual stresses in joined elastic half-spaces, [In:] Developments in Theoretical and Applied Mechanics, W.A. Shaw (Edit.), 3, 105-115, Pergamon Press, Oxford
  • 8. Hu S.M., 1989, Stress from a parallelepipedic thermal inclusion in a semispace, Journal of Applied Physics, 66, 6, 2741-2743
  • 9. Itou S., 2014, Plane strain and plane stress problems in thermoelasticity, [In:] Encyclopedia of Thermal Stresses, Richard B. Hetnarski (Eds.), Springer Netherlands, 3921-3930
  • 10. Kolesov V.S., Vlasov N.M., Tisovskii L.O., Shatskii I.P., 1992, The stress-deformation state of an elastic half-space with a spheroidal thermal inclusion, International Applied Mechanics, 28, 7, 426-434
  • 11. Kumagai H., Maeda Y., Ichihara M., Kame N., Kusakabe T., 2014, Seismic moment and volume change of a spherical source, Earth Planets and Space, 66, 7, 1-10
  • 12. Leroux J., Fulleringer B., Nelias D., 2010, Contact analysis in presence of spherical inhomogeneities within a half-space, International Journal of Solids and Structures, 47, 3034-3049
  • 13. Linzhi W., 2003, The elastic field induced by a hemispherical inclusion in the half-space, Acta Mechanica Sinica, 19, 3, 253-262
  • 14. Liu S., Wang Q., 2005, Elastic fields due to eigenstrains in a half-space, Journal of Applied Mechanics, 72, 871-878
  • 15. Mindlin R.D., Cheng D.H., 1950, Thermoelastic stress in the semi-infinite solid, Journal of Applied Physics, 21, 931-933
  • 16. Neumann F., 1885, Vorlesungenuber die Theorie der Elasticit¨at der festen Korper und des Lichtathers, B.G. Teubner, Leipzig
  • 17. Nowacki W., 1957, State of stress in an infinite and semi-infinite elastic space due to an instantaneous source of heat, Bulletin de L’Academic Polonaise des Sciences, IV, 5, 2, 77-86
  • 18. Nowacki W., 1986, Thermoelasticity, Second Edition, Pergamon Press, PWN-Polish Scientific Publishers, Warszawa
  • 19. Nowinski J., 1961, Biharmonic solutions to the steady-state thermoelastic problems in three dimensions, Zeitschrift f¨ur angewandte Mathematik und Physik (ZAMP), XII, 2, 132-149
  • 20. Nowinski J.L., 1963, A mean value theorem for an arbitrary steady-state thermoelastic problem for a solid sphere, Journal of the Society for Industrial and Applied Mathematics, 11, 3, 623-631
  • 21. Nowinski J.L., 1978, Theory of Thermoelasticity with Applications, Alphen Aan Den Rijn Sijthoff and Noordhoff International Publishers
  • 22. Sadd M.H., 2005, Elasticity – Theory, Applications and Numerics, Elsevier Academic Press Inc., UK
  • 23. Sen B., 1957, Note on a direct method of solving problems of elastic plates with circular boundaries having prescribed displacement, Kurze Mitteilungen-Brief Reports-Communications breves, VIII, 307-309
  • 24. Sharma B.D., 1957, Stresses due to a nucleus of thermo-elastic strain (i) in an infinite elastic solid with spherical cavity and (ii) in a solid elastic sphere, Zeitschrift f¨ur angewandte Mathematik und Physik (ZAMP), VIII, 142-150
  • 25. Timoshenko S., Goodier J.N., 1951, Theory of Elasticity, Second Edition, McGraw-Hill, New York
  • 26. Truesdell C. (Edit.), 1984, Mechanics of Solids, Volume II, Linear Theories of Elasticity and Thermoelasticity, Springer-Verlag Berlin Heidelberg.
  • 27. Wang M., Huang K., 1991, Thermoelastic problems in the half space – An application of the general solution in elasticity, Applied Mathematics and Mechanics, 12, 9, 849-862
  • 28. Yu H.Y., Sanday S.C., 1992, Centre of dilatation and thermal stresses in an elastic plate, Proceedings of the Royal Society of London A, 438, 103-112
  • 29. Yu H.Y., Sanday S.C., Rath B.B., 1992, Thermoelastic stresses in bimaterials, Philosophical Magazine A, 65, 5, 1049-1064
  • 30. Yu J.H., Kuang Z.B., Gu M.Y., 2002, Thermal stresses in joined semi-infinite solids, Journal of Thermal Stresses, 25, 9, 889-905
  • 31. Zhou K., Chen W.W., Keer L.M., Wang Q. J., 2009, A fast method for solving threedimensional arbitrarily shaped inclusions in a half space, Computer Methods in Applied Mechanics and Engineering, 198, 9-12, 885-892
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-56bc0ce9-d8b5-4288-8f9b-51e3d3a0d76c
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