A new series solution method for two-dimensional elastic wave scattering along a canyon in half-space

2016 ◽  
Vol 89 ◽  
pp. 128-135 ◽  
Author(s):  
Yu Yao ◽  
Tianyun Liu ◽  
Jian-min Zhang
Keyword(s):  
Elastic Wave ◽  
Half Space ◽  
Wave Scattering ◽  
Series Solution ◽  
Solution Method ◽  
Two Dimensional ◽  
Elastic Wave Scattering

Elastic Wave Scattering From an Interface Crack in a Layered Half Space Submerged in Water: Part I: Applied Tractions at the Liquid-Solid Interface

1986 ◽  
Vol 53 (2) ◽  
pp. 326-332 ◽  
Author(s):  
S. M. Gracewski ◽  
D. B. Bogy
Keyword(s):  
Elastic Wave ◽  
Integral Equations ◽  
Half Space ◽  
Interface Crack ◽  
Wave Scattering ◽  
Plane Waves ◽  
Crack Tip ◽  
Solid Interface ◽  
Elastic Wave Scattering ◽  
Layered Half Space

In Part I of this two-part paper, the analytical solution of time harmonic elastic wave scattering by an interface crack in a layered half space submerged in water is presented. The solution of the problem leads to a set of coupled singular integral equations for the jump in displacements across the crack. The kernels of these integrals are represented in terms of the Green’s functions for the structure without a crack. Analysis of the integral equations yields the form of the singularities of the unknown functions at the crack tip. These singularities are taken into account to arrive at an algebraic approximation for the integral equations that can then be solved numerically. Numerical results in the form of crack tip stress intensity factors are presented for the cases in which the incident disturbance is a harmonic uniform normal or shearing traction applied at the liquid-solid interface. These results are compared with a previously published solution for this problem in the absence of the liquid. In Part II, which immediately follows Part I in the same journal issue, the more realistic disturbances of plane waves and bounded beams incident from the liquid are considered.

Modeling of elastic wave scattering by a hole in a half-space

2008 ◽  
Author(s):  
Samik Das ◽  
Sourav Banerjee ◽  
Tribikram Kundu
Keyword(s):  
Elastic Wave ◽  
Half Space ◽  
Wave Scattering ◽  
Elastic Wave Scattering

Elastic Wave Scattering From an Interface Crack in a Layered Half Space Submerged in Water: Part II: Incident Plane Waves and Bounded Beams

1986 ◽  
Vol 53 (2) ◽  
pp. 333-338 ◽  
Author(s):  
S. M. Gracewski ◽  
D. B. Bogy
Keyword(s):  
Elastic Wave ◽  
Half Space ◽  
Interface Crack ◽  
Wave Scattering ◽  
Ultrasonic Transducer ◽  
Plane Waves ◽  
Incident Beam ◽  
Numerical Results ◽  
Elastic Wave Scattering ◽  
Layered Half Space

This is Part II of a two part paper which analyzes time harmonic elastic wave scattering by an interface crack in a layered half space submerged in water. The analytic solution was derived in Part I. Also numerical results for uniform harmonic normal or shear traction applied to the liquid-solid interface were presented. These were compared with previously published results as a check on the computer program used to obtain the numerical results. Here in Part II, additional numerical results are presented. Plane waves incident from the liquid onto the solid structure are first considered to gain insight into the response characteristics of the structure. The solution for an incident beam of Gaussian profile is then presented since this profile approximates the output of an ultrasonic transducer.

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