On the general solution of elastic wave equations in a homogeneous medium with applications to the study of earthquake source mechanisms

1965 ◽  
Vol 55 (2) ◽  
pp. 283-301 ◽  
Author(s):  
Arabinda Roy
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
Homogeneous Medium ◽  
Finite Size ◽  
Surface Displacement ◽  
Point Sources ◽  
Force System ◽  
Surface Displacements ◽  
Elastic Wave Equations ◽  
Source Mechanisms

Abstract The elastic wave equation in an isotropic homogeneous semi-infinite elastic medium has been transformed by a combination of Fourier and Laplace-transforms and the surface displacements due to general force-system in three mutually perpendicular directions have been directly obtained. By suitably specifying the force-system, the surface displacements for all possible types of point sources so far used, have been calculated, obtaining in particular, the results previously derived by Haskell for a dipolar point source of arbitrary direction. It has been shown that now the surface displacement for finite size of the source can be calculated for both body and surface waves. Expressions for the displacements at any point of the medium have been derived, giving in particular the displacements associated with incident wave in the medium, separately.

Staggered-Grid High-Order Differencemethod for the First-Order Elastic Wave Equations

2000 ◽  
Vol 43 (3) ◽  
pp. 441-449 ◽  
Author(s):  
Liang-Guo DONG ◽  
Zai-Tian MA ◽  
Jing-Zhong CAO
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
High Order ◽  
Staggered Grid ◽  
First Order ◽  
Elastic Wave Equations

A simple implementation of PML for second-order elastic wave equations

2020 ◽  
Vol 246 ◽  
pp. 106867 ◽  
Author(s):  
Mingwei Zhuang ◽  
Qiwei Zhan ◽  
Jianyang Zhou ◽  
Zichao Guo ◽  
Na Liu ◽  
...  
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
Second Order ◽  
Elastic Wave Equations ◽  
Simple Implementation

The Curved Plate Flaw's Location and Direction Detecting Based on the Transducer Array

2013 ◽  
Vol 389 ◽  
pp. 223-230
Author(s):  
Xi Peng Li ◽  
Chun Guang Xu ◽  
Zhao Liu ◽  
Han Hui Xu
Keyword(s):  
Phase Velocity ◽  
Elastic Wave ◽  
Wave Equations ◽  
Velocity Dispersion ◽  
Imaging Method ◽  
Finite Element Software ◽  
Phase Velocity Dispersion ◽  
Elastic Wave Equations ◽  
The Relationship ◽  
Detecting Method

The curved structural plate components have been widely used in petroleum, natural gas, chemical industry, and other industries fields, monitoring and detecting the curved structural plate components flaw has a great significance for improving the components integrity, reliability and lifespan in service. Based on the elastic wave fundamental theory, elastic wave equations, and phase velocity dispersion characteristic curves in curved plate component, the article gives the phase velocity practical detecting method. By using thecomsolfinite element software, the author proposed a wave propagating forward modeling analytical method, which gives a guidance to study the relationship between the wave and the flaw. By adopting the ellipse algorithm, the article proposed a positioning and imaging method which was used to locate the flaws position and distinguish the flaws direction. Based on the theoretical and technical analysis above, a number of experiments has been done, and the results shows that the detecting and imaging method can locate and image the flaws position and its geometrical morphology precisely for the curved plates flaw detecting.

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