14 papers
Propagation of Shear Horizontal Acoustic Waves in a Quartz Plate with a Fluid Layer for Liquid Sensor Application
Bo Liu, Qing Jiang, Jiashi Yang
We study the propagation of shear horizontal (SH) acoustic waves in a quartz elastic plate in contact with a viscous fluid layer of a finite thickness as an acoustic wave sensor fo…
Partial Complementary Energy Densities, Their Variational Principles and Applications in Elasticity
Jiashi Yang
Partial complementary energy densities are introduced through partial Legendre transforms from the strain energy density of linear elasticity. They have mixed components of the str…
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…
On Generalizations of the Minimal Complementary Energy Variational Principle in Linear Elastostatics
Jiashi Yang
It is shown that when the well-known minimal complementary energy variational principle in linear elastostatics is written in a different form with the strain tensor as an independ…
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…