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On 3D anticrack problem of thermoelectroelasticity

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Języki publikacji
EN
Abstrakty
EN
A solution is presented for the static problem of thermoelectroelasticity involving a transversely isotropic space with a heat-insulated rigid sheet-like inclusion (anticrack) located in the isotropy plane. It is assumed that far from this defect the body is in a uniform heat flow perpendicular to the inclusion plane. Besides, considered is the case where the electric potential on the anticrack faces is equal to zero. Accurate results are obtained by constructing suitable potential solutions and reducing the thermoelectromechanical problem to its thermomechanical counterpart. The governing boundary integral equation for a planar anticrack of arbitrary shape is obtained in terms of a normal stress discontinuity. As an illustration, a closed-form solution is given and discussed for a circular rigid inclusion.
Rocznik
Strony
109--114
Opis fizyczny
Bibliogr. 12 poz., rys.
Twórcy
  • Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw
Bibliografia
  • 1. Chen W.Q., (2000), On the general solution for piezothermoelasticity for transverse isotropy with application, Journal of Applied Mechanics, 67, 705–711.
  • 2. Fabrikant V.I. (1989), Applications of Potential Theory in Mechanics: A Selection of New Results, Kluwer Academic Publishers, Dordrecht.
  • 3. Fabrikant V.I. (1991), Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering, Kluwer Academic Publishers, Dordrecht.
  • 4. Kaczyński A. (2014), Thermal stress analysis of a three-dimensional anticrack in a transversely isotropic solid, International Journal of Solids and Structures, 51, 2382–2389.
  • 5. Kaczyński A., Kaczyński B. (2017), On 3D problem of an anticrack under vertically uniform heat flow in a transversely isotropic electrothermo-elastic space, European Journal of Mechanics A/Solids, 66,15–25.
  • 6. Kaczyński A., Kozłowski W. (2009), Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpendicular heat flow, International Journal of Solids and Structures, 46, 1772–1777.
  • 7. Kellogg O.D. (1953), Foundation of Potential Theory, Dover, New York.
  • 8. Podil’chuk Yu.,N., Morgado A.H.P. (2000), Stress distribution in a transversally isotropic piezoceramic body with an elliptic crack in a uniform heat flow, International Applied Mechanics, 36(2), 203–215.
  • 9. Rahman M. (2002), A rigid elliptical disc-inclusion, in an elastic solid, subjected to a polynomial normal shift, Journal of Elasticity, 66, 207–235.
  • 10. Rao S.S., Sunar M. (1994), Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey, Applied Mechanics Reviews, 47, 113–123.
  • 11. Wang B.,L., Noda N. (2004), Exact thermoelectroelasticity solution for a penny-shaped in piezoelectric materials, Journal of Thermal Stresses, 27, 241–251.
  • 12. Yang J., Jin X., Jin N. (2014), A penny-shaped crack in an infinite linear transversely isotropic medium subjected to uniform antisymmetric heat flux: Closed form-solution, European Journal of Mechanics A/Solids, 47, 254–270.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-da7a0138-11f1-4cc7-a0f7-93a690be4ed7
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