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Based on the operator theory, the general solutions of the extended displacements and stresses in two-dimensional thermopiezoelectric media are expressed in terms of a potential function. By introducing the Fourier transform, the fundamental solutions for the unit point extended displacement discontinuities are derived. The extended displacement discontinuity boundary integral equation method is developed...
Dielectric materials are widely used as insulating materials in electronic devices. However, cracks inside dielectric materials may cause performance degradation of the electronic devices. In this paper, the sub-region boundary element method is developed for handling the edge crack problem, in which the area in the crack cavity is treated separately. The proposed method is distinguished from any...
Based on the operator theory, the general solutions of the extended displacements and stresses in three-dimensional piezoelectric media are expressed in terms of two potential functions. By introducing the generalized Almansi's theorem and the Hankel transform, the obtained general solutions are further simplified and expressed by harmonic functions. Finally, the fundamental solutions of the extended...
A finite crack is studied in two-dimensional (2D) infinite piezoelectric medium with arbitrary electric poling direction in the present paper. A self-consistent method is employed to obtain the real crack opening and the electric field in the crack cavity under combined mechanical-electric loadings. The influences of poling direction and electric boundary conditions on fracture behaviors are investigated,...
In this paper, the Hybrid Extended Displacement Discontinuity-Charge Simulation Method (HEDD-CSM) [1] is used to study the mixed mode cracks in two-dimensional finite piezoelectric media under combined mechanical-electrical loadings. The HEDD-CSM combines the extended displacement discontinuity method (EDDM) and the charge simulation method (CSM). The solution for an electrically impermeable crack...
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