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"Yang, Jiashi"
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Buckling of flexoelectric semiconductor beams
We study the buckling of flexoelectric semiconductor beams using one-dimensional equations based on the macroscopic theory of flexoelectric semiconductors. Simple solutions for a beam with sliding ends and a simply supported beam with hinged ends are obtained. Results show that when buckling occurs, the mobile charges in the beams redistribute themselves driven by the electric polarization or field accompanying buckling through flexoelectricity. The buckling load increases due to flexoelectric coupling which may be called flexoelectric stiffening. The mobile charges redistribute themselves to screen the polarization or electric field and thus weaken the flexoelectric stiffening.
Journal Article
The mechanics of piezoelectric structures
A continuation of the author's previous book “An Introduction to the Theory of Piezoelectricity” (Springer, New York, 2005) on the three-dimensional theory of piezoelectricity, this volume covers lower dimensional theories for various piezoelectric structures and device applications. The development of two-, one- and zero-dimensional theories for high frequency vibrations of piezoelectric plates, shells, beams, rings curved bars and parallelepipeds is systematically presented. In addition to linear piezoelectricity, certain nonlinear effects are also considered and examples for device applications are provided. The material emphasizes dynamic theories and high frequency motions as well as device applications as there are relatively few books on piezoelectric structures, especially for high frequency theories. The volume is destined to be one of the most systematic and comprehensive books on piezoelectric structures.
eBook
Introduction to the mathematical theory of vibrations of elastic plates
This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.
eBook
Differential derivation of momentum and energy equations in electroelasticity
This paper presents a derivation of the equations of linear momentum, angular momentum, and energy of an electroelastic body using a composite particle consisting of two differential elements based on Tiersten’s two-continuum model. The differential derivation shows the physics involved in a way different from the integral approach in the literature. Like the integral approach, it also produces the expressions of the electric body force, couple, and power which are fundamental to the development of the nonlinear macroscopic theory of an electroelastic body.
Journal Article
Stress-induced potential barriers and charge distributions in a piezoelectric semiconductor nanofiber
The performance of a piecewise-stressed ZnO piezoelectric semiconductor nanofiber is studied with the multi-field coupling theory. The fields produced by equal and opposite forces as well as sinusoidally distributed forces are examined. Specific distributions of potential barriers, wells, and regions with effective polarization charges are found. The results are fundamental for the mechanical tuning on piezoelectric semiconductor devices and piezotronics.
Journal Article
Analysis of piezoelectric devices
This is the most systematic, comprehensive and up-to-date book on the theoretical analysis of piezoelectric devices. It is a natural continuation of the author's two previous books: “An Introduction to the Theory of Piezoelectricity” (Springer, 2005) and “The Mechanics of Piezoelectric Structures” (World Scientific, 2006). Based on the linear, nonlinear, three-dimensional and lower-dimensional structural theories of electromechanical materials, theoretical results are presented for devices such as piezoelectric resonators, acoustic wave sensors, and piezoelectric transducers.
eBook
Vibrating Flexoelectric Micro-Beams as Angular Rate Sensors
We studied flexoelectrically excited/detected bending vibrations in perpendicular directions of a micro-beam spinning about its axis. A set of one-dimensional equations was derived and used in a theoretical analysis. It is shown that the Coriolis effect associated with the spin produces an electrical output proportional to the angular rate of the spin when it is small. Thus, the beam can be used as a gyroscope for angular rate sensing. Compared to conventional piezoelectric beam gyroscopes, the flexoelectric beam proposed and analyzed has a simpler structure.
Journal Article
On the Derivation of Electric Body Force, Couple and Power in an Electroelastic Body
This paper presents a procedure for the derivation of the expressions for electric body force, couple, and power in a nonlinear electroelastic body under electromechanical loads. The derivation is based on Tierseten’s two-continuum model but much simplified.
Journal Article
Effects of surface impedance on current density in a piezoelectric resonator for impedance distribution sensing
We study the relationship between the surface mechanical load represented by distributed acoustic impedance and the current density distribution in a shear mode piezoelectric plate acoustic wave resonator. A theoretical analysis based on the theory of piezoelectricity and trigonometric series is performed. In the specific and basic case when the surface load is due to a local mass layer, numerical results show that the current density concentrates under the mass layer and is sensitive to the physical as well as geometric parameters of the mass layer such as its location and size. This provides the theoretical foundation for predicting the surface impedance pattern from the current density distribution, which is fundamental to the relevant acoustic wave sensors.
Journal Article