Application of hypersingular integral equation method to a three-dimensional crack in piezoelectric materials

作者：Qin TY^*; Noda NA

来源：JSME International Journal - Series A: Solid Mechanics and Material Engineering , 2004, 47(2): 173-180.

DOI：10.1299/jsmea.47.173

• piezoelectric
• crack
• body force method
• boundary element method
• hypersingular integral equation

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.

• 出版日期2004-4
• 单位中国农业大学