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Transversely Isotropic Homogeneous Medium with Absorbing Boundary Conditions: Elastic Wave Propagation Using Spectral Element Method
Particle displacements and stresses are calculated for studying elastic wave propagation in a transversely isotropic homogeneous medium. A mesh...
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Impact Wave Propagation in a Thin Elastic Isotropic Plate
The paper deals with the theory of solution of transverse shock wave propagation in thin plane elastic isotropic plate (Al 99,9). The solution is...
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Stability of Wave Networks on Elastic and Viscoelastic Media
In this paper, we study the component configuration issue of the line-shaped wave networks which is made of two viscoelastic components and an...
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Scattering and rigidity for nonlinear elastic waves
For the Cauchy problem of nonlinear elastic wave equations of three-dimensional isotropic, homogeneous and hyperelastic materials satisfying the null...
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Scattering by an Elastic Cylinder with an Inhomogeneous Coating of Sound Waves
AbstractThis article studies the mathematical modeling of an acoustic field, which is scattered by a homogeneous isotropic cylinder with a radially...
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A new tunable elastic metamaterial structure for manipulating band gaps/wave propagation
A one-dimensional mechanical lattice system with local resonators is proposed as an elastic metamaterial model, which shows negative mass and...
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An adaptive finite element DtN method for the acoustic-elastic interaction problem
Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable and isotropic elastic solid, which is immersed in a...
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Three-Dimensional Dynamic Analysis of Layered Elastic Shells
Three-dimensional dynamic problem for a layered orthotropic elastic shell with free upper face is considered. The interfaces between the layers are...
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Remarks on Global Smoothing Effect of Solutions to Nonlinear Elastic Wave Equations with Viscoelastic Term
The aim of this paper is to give the precise statement and proof of smoothing effect and asymptotic profiles of the small global solutions to...
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Scattering of Sound Waves by a Finite Length Elastic Cylinder with an Inhomogeneous Coating
AbstractThis article studies the mathematical modeling of an acoustic field scattered by a homogeneous isotropic elastic circular cylinder of finite...
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d’Alembert Formula for Poroelasticity System Described by Three Elastic Parameters
We consider the Cauchy problem for a one-dimensional homogeneous system of poroelasticity equations described by three elastic parameters in a...
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Nonlocal Wave Propagation in a Piezo Thermo Elastic Nonhomogeneous Hygroscopic Prestressed Plate of Irregular Boundary
This paper deals with the humid thermal vibration characteristics of a nonhomogeneous thermo piezoelectric nonlocal plate of polygonal shape. The...
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An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities
The elastic transmission eigenvalue problem, arising from the inverse scattering theory, plays a critical role in the qualitative reconstruction...
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A Robust and High Precision Algorithm for Elastic Scattering Problems from Cornered Domains
The Navier equation is the governing equation of elastic waves, and computing its solution accurately and rapidly has a wide range of applications in...
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Maximal regularity for the Stokes system coupled with a wave equation: application to the system of interaction between a viscous incompressible fluid and an elastic wall
We consider a viscous incompressible fluid interacting with an elastic structure located on a part of its boundary. The fluid motion is modeled by...
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Ultra-wide band gap and wave attenuation mechanism of a novel star-shaped chiral metamaterial
A novel hollow star-shaped chiral metamaterial (SCM) is proposed by incorporating chiral structural properties into the standard hollow star-shaped...
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Stress State of an Elastic Body with Rigid Inclusion in the Form of a Broken Line Under Harmonic Wave Loads
We solve the problem of determination of the stress state formed in the vicinity of a tunnel rigid inclusion with cross section in the form of a...
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Asymptotic Approach in the Dynamic Problems of the Theory of Elasticity for Bodies with Thin Elastic Inclusions
We propose a unified approach to the investigation of the processes of dynamic interaction of thin elastic inhomogeneities with an elastic medium. It...
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Numerical Simulation of Wave Propagation in a Fractured Porous Medium
AbstractThe problem of elastic wave propagation in a fractured-porous medium saturated with liquid is solved numerically. A computer implementation...
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Love wave propagation in one-dimensional piezoelectric quasicrystal multilayered nanoplates with surface effects
The exact solutions for the propagation of Love waves in one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) nanoplates with surface...