The ground surface displacement of shallow buried circular cavity in a soft layered half-space impacted by SH wave: The ground surface displacement of shallow buried circular cavity in a soft layered half-space impacted by SH wave

2016 ◽  
pp. 253-257
Author(s):  
Yuanbo Zhao ◽  
Hui Qi ◽  
Xiaohao Ding ◽  
Dongdong Zhao
Keyword(s):  
Half Space ◽  
Ground Surface ◽  
Surface Displacement ◽  
Circular Cavity ◽  
Sh Wave ◽  
Layered Half Space

Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus

Meccanica ◽  
2021 ◽  
Vol 56 (3) ◽  
pp. 705-709
Author(s):  
Jinlai Bian ◽  
Zailin Yang ◽  
Guanxixi Jiang ◽  
Yong Yang ◽  
Menghan Sun
Keyword(s):  
Analytical Solution ◽  
Half Space ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Circular Cavity ◽  
Sh Wave

Scattering of SH Wave by an Interacting Mode III Crack and a Circular Cavity in Half Space

2007 ◽  
Vol 348-349 ◽  
pp. 861-864 ◽  
Author(s):  
Zai Lin Yang ◽  
Zhi Gang Chen ◽  
Dian Kui Liu
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Displacement Field ◽  
Complex Function ◽  
Dynamic Stress Intensity Factor ◽  
Arbitrary Point ◽  
Circular Cavity ◽  
Sh Wave ◽  
Mode Iii

Scattering of SH wave by an elastic half space with a circular cavity and a crack in any position and direction is studied with Green’s function, complex function and multi-polar coordinate method. First, a suitable Green’s function is constructed, which is the fundamental solution of the displacement field for a half space with a circular cavity impacted by an out-plane harmonic line source loading at an arbitrary point in half space. Then a crack in any position and direction is constructed by means of crack-division in half space. Finally the displacement field and stress field are established in the case of coexistence of circular cavity and crack, and the expression of dynamic stress intensity factor (DSIF) at the tip of crack is given. According to numerical examples, the influences of different parameters on DSIF are discussed.

Scattering of Plane Sh-Wave From a Partially Debonded Shallow Cylindrical Elastic Inclusion

2009 ◽  
Vol 25 (4) ◽  
pp. 411-419 ◽  
Author(s):  
J.X. Zhao ◽  
H. Qi
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Half Space ◽  
Standing Wave ◽  
Elastic Inclusion ◽  
Complex Function ◽  
Surface Displacement ◽  
Sh Wave ◽  
Interface Cracks ◽  
Plane Sh Wave

ABSTRACTThe scattering of plane SH-wave from a partially debonded shallow cylindrical elastic inclusion in half space is investigated in this paper by complex function method and expansion method of wave function. The debonding regions are considered as multiple arc-shaped interface cracks with non-contacting faces. Firstly, in the inclusion district, the standing wave function in the elastic inclusion with unknown coefficients which satisfies the boundary condition is constructed and generated into the Fourier series; in the half space, the stress and displacement boundary condition around the elastic inclusion can be modeled as the same as the standing wave function in the elastic inclusion. Then, a set of infinite algebraic equations can be obtained around the same boundary and the solution of problem can be gained. In the end, numerical examples of the surface displacement are provided and discussed. It is found that the interface cracks can raise the surface displacement amplitudes to a certain degree.

Far Field Solution of SH-Wave Scattered by a Circular Cavity and a Mode III Crack in Half Space

2008 ◽  
Vol 385-387 ◽  
pp. 157-160 ◽  
Author(s):  
Bai Tao Sun ◽  
Pei Lei Yan ◽  
Zai Lin Yang
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Displacement Field ◽  
Far Field ◽  
Circular Cavity ◽  
Sh Wave ◽  
Field Solution ◽  
Displacement Mode ◽  
Arbitrary Position

Based on Green’s function, complex function and multi-polar coordinate system, the far field solution of SH wave scattered by an elastic half space with a circular cavity and a crack at an arbitrary position and orientation is investigated. First, a suitable Green’s function is constructed, which is the fundamental solution of the displacement field for a half space with a circular cavity subjected to an out-plane time-harmonic line force at an arbitrary position in half space. Second, by means of crack-division technique, a crack with any location and orientation can be constructed in the region of the half space. The displacement field and stress field are established in the situation of coexistence of circular cavity and crack. At last expressions of far field, such as displacement mode of scattering wave are deduced. Some examples and numerical results are illustrated. The influences of the combination of different media parameters on solutions of far field are discussed.

Interaction of SH-Wave on Multiple Linear Cracks near Shallow-Embedded Structure

2011 ◽  
Vol 488-489 ◽  
pp. 440-443
Author(s):  
Zai Lin Yang ◽  
Hua Nan Xu ◽  
Mei Juan Xu ◽  
Bai Tao Sun
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Complex Function ◽  
Surface Displacement ◽  
Elastic Half Space ◽  
Polar Coordinates ◽  
Multiple Cracks ◽  
Sh Wave ◽  
Lining Structure

The surface displacement of a circular lining structure and multiple cracks in an elastic half space by incident SH-wave is studied in this paper based on the methods of Green's function, complex function and multi-polar coordinates. Firstly, we construct a suitable Green’s function which indicates a fundamental solution to the displacement field for an elastic half space possessing a circular lining structure and cracks while bearing out-plane harmonic line loads at arbitrary point. Then using the method of crack-division, a crack is created. Thus expressions of displacement and stress field are established at the existence of the structure and the cracks. Finally, the interaction of inclusion and two cracks is chosen as numerical examples and the influences of different parameters on the surface displacement are discussed.

Scattering of Out-of-Plane Line Source Load by Shallow-Embedded Circular Lining Structure and Crack in Half Space

2010 ◽  
Vol 452-453 ◽  
pp. 329-332
Author(s):  
Zai Lin Yang ◽  
Hua Nan Xu ◽  
Mei Juan Xu ◽  
Bai Tao Sun
Keyword(s):  
Half Space ◽  
Line Source ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Ground Surface ◽  
Polar Coordinates ◽  
Wave Number ◽  
Sh Wave ◽  
Lining Structure ◽  
Out Of Plane

In this paper, we study the problems of scattering of out-of-plane line source load by half-space shallow-embedded circular lining structure and a crack in the field of linearly elastic dynamic mechanics. This is an essential solution to the displacement field for the elastic space possessing shallow-embedded circular lining structure and a crack while bearing out-of-plane harmonic line source load at arbitrary point. The wave function of scattering of shallow-embedded circular lining structure impacted by incident steady SH-wave is constructed based on the symmetry of SH-wave scattering and the method of multi-polar coordinates system. Then a crack is made out using the method of “crack-division”. Thus expressions of displacement and stress are established when shallow-embedded circular lining structure and a crack are both in existent. Finally, with two different dimensionless parameters, numerical results of scattering of out-of-plane line source load by half-space shallow-embedded circular lining structure and a crack are obtained and numerical examples are provided to show the influence of wave number ratio, shear modulus ratio, thickness ratio and the ratio of distance between the center of the different cavity and ground surface and the radius of the circular lining structure upon the dynamic stress concentration factor(DSCF) and dynamic stress intensity factor(DSIF) at crack tip.

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