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On the thermoelastic problem of uniform heat flow disturbed by a circular rigid lamellate inclusion

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
Solid Mechanics Conference (36 ; 9-12.09.2008 ; Gdańsk, Poland)
Języki publikacji
EN
Abstrakty
EN
A complete solution in elementary functions is given for the three-dimensional thermoelastic ?eld in an elastic space, containing an absolutely rigid circular inclusion (anticrack) under a normally incident uniform heat ?ow. The inclusion is assumed to be slightly conducting, with a certain thermal resistance. The analysis is based on the potential theory method. The resulting boundary-value problems are reduced to classical mixed problems of the potential theory. The temperature, ?uxes, thermal stresses and displacements in the inclusion plane are given in closed forms and interpreted from the point of view of the failure theory.
Rocznik
Strony
309--324
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
  • Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warsaw, Poland, akacz@mini.pw.edu.pl
Bibliografia
  • 1. M.K. KASSIR, G.C. SlH, Three-Dimensional Crack Problems (Mechanics of Fracture 2), NoordhofF International Publishing, Leyden 1975.
  • 2. H.S. KIT, M.V. KHAY, Method of Potentials in Three-Dimensional Thermoelastic Problems of Bodies with Cracks [in Russian], Naukova Dumka, Kiev 1989.
  • 3. D.N. DELL'ERBA, Thermoplastic Fracture Mechanics Using Boundary Elements, WIT Press, Southampton, Boston 2002.
  • 4. V.I. FABR.IKANT, Applications of Potential Theory in Mechanics: A Selection of New Results, Kluwer Academic Publishers, Dordrecht 1989.
  • 5. V.I. FABRIKANT, Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering, Kluwer Academic Publishers, Dordrecht 1991.
  • 6. A. KACZYNSKI, Three-dimensional thermoelastic problems of interface cracks in periodic two-layered composites, Engineering Fracture Mechanics, 48, 6, 783-800, 1994.
  • 7. A. KACZYNSKI, S.J. MATYSIAK, On the three-dimensional problem of an interface crack under uniform heat flow in a bimaterial periodically-layered, space, International Journal of Fracture, 123, 127-138, 2003.
  • 8. W.Q. ("HEN, II.J. DING, D.S. LING, Thermoelastic field of transversely isotropic elastic medium containing a penny-shaped crack: exact fundamental solution, International .Journal of Solids and Structures, 41, 1, 69-83, 2004.
  • 9. W.D. COLLINS, Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks, Proceedings of the Royal Society, A266, 359-386, 1962.
  • 10. M.K. KASSIR, (l.C. Sin, Some three-dimensional inclusion problems in elasticity, International Journal of Solids and Structures, 4, 225-241, 1968.
  • 11. A.P.S. SELVADURAI, On the interaction between an elastic-ally embedded rigid inhomogene-ity and a laterally placed concentrated force, Journal of Applied Mathematics cind Physics (ZAMP), 33, 241 249, 1982.
  • 12. A.P.S. SELVADURAI. An application of Betti's reciprocal theorem for the analysis of an inclusion problem, Engineering Analysis with Boundary Elements, 24, 759-765, 2000.
  • 13. V.P. SlLOVANYUK, Rigid lamellate inclusions in elastic space [in Russian], Physicochemical Mechanics of Materials, 5, 80-84, 1984.
  • 14. J.I I. HUANG, M.K. Liu, On a flat ellipsoidal inclusion or crack in three-dimensional anisotropic media, International Journal of Engineering Science, 36, 143-155, 1988.
  • 15. M. RAHMAN, Some problems of a rigid elliptical disc-inclusion bonded inside a transversely isotropic space, ASME Journal of Applied Mechanics, 66, 612-630, 1999.
  • 16. M. RAHMAN, A rigid elliptical disc-inclusion, in an elastic solid, subjected to a polynomial normal shift, Journal of Elasticity, 66, 207-235, 2002.
  • 17. M. KACHANOV, E. KARAPETIAN, I. SEVOSTIANOV, Elastic space containing a rigid ellipsoidal inclusion subjected to translation and rotation, [in:] Multiscale Deformation and Fracture in Materials and Structures. Solids Mechanics and Its Applications, 84, Kluwer Academic Publishers, New York, 123-143, 2002.
  • 18. R.A. CHAUDHURI, Three-dimensional asymptotic stress field in the vicinity of the circumference of a penny-shaped discontinuity, International Journal of Solids and Structures, 40, 13 14, 3787-3805, 2003.
  • 19. T. MURA, Micromechanics of Defects in Solids, Martinus Nijhoff, The Hague 1982.
  • 20. V.V. PANASYUK, M.M. STADNIK, V.P. SILOVANYUK, Stress Concentration in Three-Dimensional Bodies with Thin Inclusions [in Russian], Naukova Dumka, Kiev 1986.
  • 21. V.M. ALEXANDROV, B.I. SMETANIN, B.V. SOBOL, Thin Stress Concentrators in Elastic Solids [in Russian], Nauka, Moscow 1993.
  • 22. H. SEKINE, Thermal stress singularities, [in:] Thermal Stresses II, 2, North-Holland, Amsterdam, 57-117, 1987.
  • 23. C.K. CHAO, M.H. SHEN, Thermal stresses in a generally anisotropic body with an elliptic inclusion subject to uniform heat flow, ASME Journal of Applied Mechanics, 65, 51-58, 1998.
  • 24. Yu. N. PODIL'CHUK, Exact analytical solutions of three-dimensional static thermoelastic problems for a transversally isotropic body in curvilinear coordinate, International Applied Mechanics, 37, 6, 728-761, 2001.
  • 25. A. KACZYNSKI, W. KOZLOWSKI, Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpendicular heat flow, International Journal of Solids and Structures, 46, 7-8, 1772-1777, 2009.
  • 26. W. NOWACKI, Thermoelasticity, PWN and Pergamon Press, Oxford 1986.
  • 27. O.D. KELLOGG, Foundation of Potential Theory, Springer-Verlag, Berlin, Heidelberg 1967.
  • 28. M.V. KHAY, Two-Dimensional Integral Equations of Newton's Potential Type and Their Applications [in Russian], Naukova Dumka, Kiev 1993.
  • 29. I. N. SNEDDON, Mixed Boundary Value Problems in Potential Theory, North-Holland, Amsterdam 1966.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0016-0040
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