11 papers
One-Dimensional Model for Coupled Flexural, Torsional and Extensional Motions of Elastic Beams with Embedded Point Magnets under Magnetic Fields
Jiashi Yang
This paper establishes a one-dimensional theoretical model for an elastic beam with embedded point magnets in extensional, bending and torsional motions. The beam has a circular cr…
A Continuum Theory of Elastic Semiconductors with Consideration of Mobile Charge Inertia
Jiashi Yang
A set of nonlinear equations for the macroscopic theory of elastic semiconductors is derived which generalizes the seminal work of Tiersten by including the inertia of the mobile c…
Flow of Electrically Charged Fluids Through Elastic Porous Media
Jiashi Yang
We study the flow of an electrically charged fluid through an elastic and porous medium. A three continuum model consisting of an elastic solid, a viscous fluid, and a mobile charg…
On Purely Macroscopic Theory of Rigid Semiconductors Constructed from Multi-Continuum Model
Jiashi Yang
A complete and systematic derivation of the purely macroscopic theory of rigid semiconductors is given. It is based on a five-continuum model of charged and interpenetrating contin…
Flow through an Electromechanical Tube Driven by a Voltage
Yilin Qu, Hendrik J. Viljoen, Jiashi Yang
We study the axial flow of a nonviscous and incompressible fluid in a circular tube made from an electromechanical material. The tube is driven into radial motion by an electric vo…
A Continuum Theory of Elastic-Ferromagnetic Conductors
Jiashi Yang
In this paper, a phenomenological theory of saturated ferromagnetoelastic conductors is established using a multi-continuum model and the classical laws of mechanics, thermodynamic…
A Macroscopic Theory of Saturated Ferromagnetic Conductors
Jiashi Yang
A phenomenological theory of rigid and saturated ferromagnetic conductors is constructed from a four-continuum model consisting of a rigid lattice continuum, a bound charge continu…
Theoretical Analysis of Quartz Plate Acoustic Wave Resonators and Sensors Using Three-Dimensional Equations of Anisotropic Elasticity or Piezoelectricity
Jiashi Yang
This is a review of theoretical results from the three-dimensional equations of anisotropic elasticity or linear piezoelectricity on waves and vibrations in quartz crystal plates.…
An Alternative Derivation of the Landau-Lifshitz-Gilbert Equation for Saturated Ferromagnets
Jiashi Yang
The Landau-Lifshitz-Gilbert equation for rigid and saturated ferromagnets is derived using a two-continuum model constructed by H.F. Tiersten for elastic and saturated ferromagnets…
Frequency perturbation integral for piezoelectric quartz crystal microbalances based on scalar differential equations
Jiashi Yang
We study frequency shifts in a piezoelectric quartz resonator induced by a surface mass layer for sensor applications. The scalar differential equations for thickness-shear modes i…
Scalar Differential Equations of Thin Film Bulk Acoustic Wave Resonators with Surface Acoustic Impedance for Sensor Application
Huijing He, Jiashi Yang, John A. Kosinski
We generalize the two-dimensional scalar differential equations for the thickness-extensional operating modes of thin film bulk acoustic wave resonators (FBARs) to include the effe…