17 citations · 57 across the 7 of their papers we have counts for
5 papers · 1 filter
Deeper understandings of the gauge theory for the first order inhomogeneous linear elasticity
Zhihai Xiang
Our previous study [1] has demonstrated that the gauge theory is a proper framework for characterizing the local temporal and spatial interactions in inhomogeneous elastic media. H…
An experimental verification of the one-dimensional static Willis-form equations
R. W. Yao, H. X. Gao, Y. X. Sun +2
This paper investigates the behavior of a heavy soft spring in steady circular motion. Since the spring is inhomogeneous due to centrifugal force, one can rigorously prove that it…
Realizing the Willis equations with pre-stresses
Zhihai Xiang, Ruiwen Yao
This paper proves that the linear elastic behavior of the material with inhomogeneous pre-stresses can be described by the Willis equations. In this case, the additional terms in t…
Modified 1D elastic wave equations that retain time synchronization under spatial coordinate transformations
Ruiwen Yao, Zhihai Xiang
In contrast to the traditional elastodynamic equations, a more comprehensive formulation of one dimensional (1D) elastodynamic equations is given for inhomogeneous media by using t…
The form-invariance of wave equations without requiring a priori relations between field variables
Zhihai Xiang
According to the principle of relativity, the equations describing the laws of physics should have the same forms in all admissible frames of reference, i.e., form-invariance is an…