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Reconfigurable mechanism-based metamaterials for ternary-coded elastic wave polarizers and programmable refraction control
Elastic metamaterials with unusual elastic properties offer unprecedented ways to modulate the polarization and propagation of elastic waves....
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Mass-spring model for elastic wave propagation in multilayered van der Waals metamaterials
Multilayered van der Waals (vdW) materials have attracted increasing interest because of the manipulability of their superior optical, electrical,...
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Wave Impedances of Elastic Stratified Medium
AbstractIt is shown that wave impedance can be defined as a matrix coefficient in a vector solvability condition of some over-determined boundary...
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Determination of the density in a nonlinear elastic wave equation
This is a continuation of our study (Uhlmann and Zhai in J Math Pures Appl 153:114–136, 2021) on an inverse boundary value problem for a nonlinear...
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The mechanism to reform dynamic performance of an elastic wave-front in a piezoelectric semiconductor by the wave-carrier interaction induced from static biasing fields
The propagation of an elastic wave (EW) in a piezoelectric semiconductor (PSC) subjected to static biasing fields is investigated. It is found that...
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Pointwise convergence for the elastic wave equation
We study pointwise convergence of the solution to the elastic wave equation to the initial data which lies in the Sobolev spaces. We prove that the...
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Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation
The elastic wave propagation in inelastic media gives rise to non-linear wave equation. We study such a nonlinear wave in two dimensions using...
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Shock Torsion Wave in an Elastic Rod with Decreasing Function of Viscoplastic External Friction
The wave problem of propagation and deceleration of shock torsion perturbation in semi-infinite round elastic rod interacting with the medium is... -
Wave Phenomena Mathematical Analysis and Numerical Approximation
This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach.
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Reconfigurable metamaterial for asymmetric and symmetric elastic wave absorption based on exceptional point in resonant bandgap
Elastic wave absorption at subwavelength scale is of significance in many engineering applications. Non-Hermitian metamaterials show the ability in...
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Evolution of the Wave Pattern for Piecewise Linear Uniaxial Tension and Compression of a Heteromodular Elastic Bar
AbstractThe process of changing the wave pattern in the problem of nonstationary deformation of a heteromodular elastic bar under uniaxial piecewise...
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Wave Diffraction in an Elastic Medium with a Spherical Cavity Supported by a Thin Shell
AbstractThe purpose of this work is to study the propagation and diffraction of unsteady waves on a thin spherical shell located in an elastic...
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Wave propagation responses of porous bi-directional functionally graded magneto-electro-elastic nanoshells via nonlocal strain gradient theory
This study examines the wave propagation characteristics for a bi-directional functional grading of barium titanate (BaTiO 3 ) and cobalt ferrite (CoFe 2 O...
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Elastic twisting metamaterial for perfect longitudinal-torsional wave mode conversion
In this work, we design a twisting metamaterial for longitudinal-torsional (L-T) mode conversion in pipes through exploring the theory of perfect...
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An adaptive finite element DtN method for the elastic wave scattering problem
Consider the scattering of an incident wave by a rigid obstacle, which is immersed in a homogeneous and isotropic elastic medium in two dimensions....
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Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses
In this work, the three-dimensional (3D) propagation behaviors in the nonlinear phononic crystal and elastic wave metamaterial with initial stresses...
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Scattering of oblique waves by a semi-infinite floating elastic plate within the framework of wave blocking
Scattering of obliquely incident surface gravity wave by a semi-infinite floating elastic plate in the presence of lateral compressive force is...
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Dynamic symmetry breaking and structure-preserving analysis on the longitudinal wave in an elastic rod with a variable cross-section
The longitudinal wave propagating in an elastic rod with a variable cross-section owns wide engineering background, in which the longitudinal wave...
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Numerical Analytical Methods for Calculating Wave Fields and Reconstructing the Velocity Characteristics of Inhomogeneous Elastic Media in the Baikal Rift Zone
AbstractOn the basis of a numerical method for solving direct and inverse problems, a method has been developed for tracking the dynamics of the...
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Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been...