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Bojing Zhu, Taiyan Qin. Application of hypersingular integral equation method to a three-dimensional crack perpendicular to the interface in electromagnetoelastic bimaterials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(4): 510-516. DOI: 10.6052/0459-1879-2007-4-2006-417
Citation: Bojing Zhu, Taiyan Qin. Application of hypersingular integral equation method to a three-dimensional crack perpendicular to the interface in electromagnetoelastic bimaterials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(4): 510-516. DOI: 10.6052/0459-1879-2007-4-2006-417
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Application of hypersingular integral equation method to a three-dimensional crack perpendicular to the interface in electromagnetoelastic bimaterials

  • Received Date: September 04, 2006
  • Revised Date: January 31, 2007
    Graphical Abstract
    • Abstract
  • This paper proposes a hypersingular integral equation method toanalyze the three-dimensional mixed-mode crack perpendicular to theinterface in anisotropic electromagnetoelastic (EME) bimaterials underextended electro-magneto-elastic coupled loads through theoreticalanalysis and numerical simulations. Using the Green's functions, the generalextended displacement solutions of three-dimensional mixed-mode crackmeeting the interface in anisotropic EME bimaterials under extended loads isanalyzed by the boundary element method. Then this crack problem is reduced tosolve a set of hypersingular integral equations coupled with boundaryintegral equations. The exact analytical solution of the extended singularstresses and extended stress intensity factors near the crack front areobtained. At last, a numerical method for the hypersingular integral equationfor a three-dimensional mixed-mode rectangular crack subjected to extendedloads by the body force method is proposed. Numerical solutions of theextended stress intensity factors of some examples are obtained.
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