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Fracture analysis of a mode I magneto-electrically conducting crack in piezo-electro-magneto-elastic medium

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto electrically conducting crack embedded in a magneto electro elastic medium is investigated. The prescribed normal stress and two cases of electromagnetic boundary conditions applied at infinity are adopted. Applying the Hankel transform technique, the boundary value problem is reduced to solving three pairs of dual coupling integral equations. These equations are solved exactly. The corresponding semi permeable crack face magneto electric boundary conditions are adopted and the electric displacement and magnetic induction of the crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings and the dielectric permittivity and magnetic permeability of the crack interior. Field intensity factors are obtained as explicit expressions.
Rocznik
Strony
1267--1295
Opis fizyczny
Bibliogr. 12 poz., wykr.
Twórcy
autor
  • Department of Mechanics of Materials, Technical University of Lodz, Al. Politechniki 6, 93-590 Łodz, POLAND, bogdan.rogowski@p.lodz.pl
Bibliografia
  • Chen W.Q., Lee K.Y. and Ding H.J. (2004): General solution for transversely isotropic magneto electro thermo elasticity 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 to temperature 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 elastic materials. - Archives of Applied Mechanics, vol.81, pp.1607-1620.
  • Sih G.C. and Song Z.F. (2003): Magnetic and electric poling effects associated with crack growth in BaTiO3 CoFe2O4 composite. - J. Theor. Appl. Fract. Mech., vol.39, pp.209-227.
  • Song Z.F. and Sih G.C. (2003): Crack initiation behavior in magnetoelectroelastic composite under in plane deformation. - J. Theor. Appl. Fract. Mech.,vol.39, pp.189-207.
  • Wang B.L. and Mai Y.W. (2007): Applicability of the crack face electromagnetic boundary conditions for fracture of magnetoelectroelastic 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 X.C. (2009): Analysis of a dielectric crack in a magnetoelectroelastic layer. - International Journal of Solids and Structures, vol.46, pp.4221-4230.
  • Zhong G.C. and Li X.F. (2007): T stress analysis for a Griffith crack in magnetoelectroelastic solid. - Archive of Applied Mechanics 78, pp.117-125.
  • Zhong X.C. and Li X.F. (2008): Fracture analysis of magnetoelectroelastic solid with a penny-shaped crack by considering the effects of the opening crack interior. - International Journal of Engineering Science, vol.46, pp.374-390.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0028-0012
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