JSME International Journal Series A Solid Mechanics and Material Engineering
Online ISSN : 1347-5363
Print ISSN : 1344-7912
ISSN-L : 1344-7912
Application of Hypersingular Integral Equation Method to a Three-Dimensional Crack in Piezoelectric Materials
Taiyan QINNao-Aki NODA
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2004 Volume 47 Issue 2 Pages 173-180


Using the Green's functions, the general solutions of a three-dimensional crack problem in piezoelectric materials under mechanical and electrical loads is derived by boundary element method. Then this crack problem is reduced to solve a set of hypersingular integral equations coupled with boundary integral equations. The unknown functions are the discontinuities of the elastic displacements and electrical potential of the crack surface. The singularity of the unknowns at the crack front is analyzed by the main-part analysis method of two-dimensional hypersingular integral equations, and the exact analytical solution of the singular stresses and electrical displacements near the crack front in a transversely isotropic piezoelectric solid is given.

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© 2004 by The Japan Society of Mechanical Engineers
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