6 papers
Effective Youngs Modulus of Two-Phase Elastic Composites by Repeated Isostrain and Isostress Constructions and Arithmetic-Geometric Mean
Jiashi Yang
A relationship is established between the effective Youngs modulus of a two-phase elastic composite and a known mathematical mean value. Specifically, the effective Youngs modulus…
A Note on the Objectivity (Rotational Invariance) of the Stored Energy Density in Continuum Physics
Jiashi Yang
This short note is concerned with the rotational invariance of the stored energy density in continuum physics as a scalar function of a few vectors. A simple derivation is presente…
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…