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Due to their pronounced piezoelectric, dielectric and pyroelectric properties, thermo piezoelectric materials have being widely used in sensors, actuators, transducers and intelligent structures, etc. Considering thermal effects, this paper derives the fundamental solutions for uniformly distributed extended displacement discontinuities on rectangular elements in the isotropic plane of a 3D thermo...
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...
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...
The measurement of mechanical and electrical properties has become an important topic in studying low-dimensional piezoelectric materials. In this paper, the analytical solution of a piezoelectric beam is derived based on the Bernoulli hypothesis and the three-dimensional constitutive equations. The bending behaviors of the piezoelectric cantilever beam with and without electrodes are studied. It...
We study free vibrations of a circular AT-cut quartz resonator using the two-dimensional scalar differential equation by Tiersten and Smythe in conjunction with COMSOL. Resonant frequencies and mode shapes are obtained and compared with available experimental results as well as available analytical solutions of the scalar equation. The accuracy of various analytical solutions is examined.
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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