6 papers
Bifurcation of the quasi-stationary velocity of strongly discrete transition waves driven by gravity
Zehuan Tang, Qing Xia, Hui Chen +2
Transition waves are common in multistable mechanical metamaterials, and the dynamics of weakly discrete transition waves under driving forces have been extensively discussed. Howe…
Unfitted Lattice Green's Function Method for Exterior Scattering in Complex Geometry
Siyuan Wang, Qing Xia
This paper develops a finite-difference analogue of the boundary integral/element method for the numerical solution of two-dimensional exterior scattering from scatterers of arbitr…
A geometrically robust unfitted boundary algebraic equation method based on discrete potentials and local basis functions
Qing Xia
We present an unfitted boundary algebraic equation (BAE) method for solving elliptic partial differential equations in complex geometries. The method employs lattice Green's functi…
Anomalous size effects with fixed criticality in bistable flexible mechanical metamaterials
Zehuan Tang, Tingfeng Ma, Boyue Su +3
When the structure deformation is dominated by the low-energy deformation mode, the structure hardens with the increase in the size (number of units) at small sizes. This anomalous…
Interaction of Shear Horizontal Acoustic and Plasma Waves in Hexagonal Piezoelectric Semiconductors
Qingguo Xia, Jianke Dua, Jiashi Yangb
We study coupled acoustic and plasma waves in piezoelectric semiconductor crystals of hexagonal symmetry. We focus on the so called shear-horizontal or antiplane motions with one m…
Unfitted boundary algebraic equation method based on difference potentials and lattice Green's function in 3D
Qing Xia
This work presents an unfitted boundary algebraic equation (BAE) method for solving three-dimensional elliptic partial differential equations on complex geometries using finite dif…