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Analysis of mode I conducting crack in piezo-electro-magneto-elastic layer

Autorzy
Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto - electrically dielectric crack embedded in a magnetoelectroelastic layer is investigated. The prescribed displacement, electric potential and magnetic potential boundary conditions on the layer surfaces are adopted. Applying the Hankel transform technique, the boundary - value problem is reduced to solving three coupling Fredholm integral equations of second kind. These equations are solved exactly. The corresponding semi - permeable crack - face magnetoelectric boundary conditions are adopted and the electric displacement and magnetic induction of crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings, the dielectric permittivity and magnetic permeability of crack interior, and the ratio of the crack length and the layer thickness. Field intensity factors are obtained as explicit expressions.
Rocznik
Strony
153--176
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
autor
  • Department of Mechanics of Materials Technical University of Lodz Al. Politechniki 6, 93-590 Łodz, POLAND
Bibliografia
  • Chen W.Q., Lee K.Y. and Ding H.J. (2004): General solution for transversely isotropic magneto electro thermoelasticity and the potential theory method. - International Journal of Engineering Sciences, vol.42, pp.1361-1379.
  • Hao T.H. and Shen Z.Y. (1994): A new electric boundary condition of electric fracture mechanics and its application. - Engineering Fracture Mechanics, vol.47, pp.793-802.
  • Niraula P.P. and Wang B L.( 2006): A magneto electro elastic material with a penny shaped crack subjected totemperature loading. - Acta Mech., vol.187, pp.151-168.
  • Rogowski B.(2007): The limit electrical permeable crack model in linear piezoelectroelasticity. - International Journal of Pressure, Vessel and Piping,vol.84, pp.572-581.
  • Rogowski B. (2011): The mode III crack emanating from an elliptical hole in the piezo - electro - magneto - elasticmaterials. - Archives of Applied Mechanics, vol.81, pp.1607-1620.
  • Wang B.L. and Mai Y.W. (2007): Applicability of the crack - face electromagnetic boundary conditions for fracture ofmagnetoelectroelastic materials. - International Journal of Solids and Structures, vol.44, pp.387-398.
  • Zhao M.H., Yang F. and Liu T. (2006): Analysis of a penny - shaped crack in a magneto - electro - elastic medium. - Philosophical Magazine, vol.86, pp.4397-4416.
  • Zhong G.C. and Li X.F. (2007): T - stress analysis for a Griffith crack in magnetoelectroelastic solid. - Archive of Applied Mechanics, vol.78, pp.117-125.
  • Zhong X.C. and Li. X.F. (2008): Fracture analysis of magnetoelectroelastic solid with a penny - shaped crack byconsidering the effects of the opening crack interior. - International Journal of Engineering Science, vol.46, pp.374 -390.
  • Zhong X.C. (2009): Analysis of a dielectric crack in a magnetoelectroelastic layer. - International Journal of Solids and Structures, vol., pp.4221 - 4230.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5fff6d20-dffe-4356-ac3b-e3d6ef4aaf1f
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