Interaction between a semi-cylindrical hill and a shallow buried fixed rigid cylindrical inclusion under SH wave

ABSTRACTGreen's function and complex function methods are used here to investigate the problem of the scattering of SH-wave by a cylindrical inclusion near interface in bi-material half-space. Firstly, Green's function was constructed which was an essential solution of displacement field for an elastic right-angle space possessing a cylindrical inclusion while bearing out-of-plane harmonic line source load at any point of its vertical boundary. Secondly, the bi-material media was divided into two parts along the vertical interface using the idea of interface “conjunction”, then undetermined anti-plane forces were loaded at the linking sections respectively to satisfy continuity conditions, and a series of Fredholm integral equations of first kind for determining the unknown forces could be set up through continuity conditions on surface. Finally, some examples for dynamic stress concentration factor of the cylindrical elastic inclusion are given. Numerical results show that dynamic stress concentration factor is influenced by interfaces, free boundary and combination of different media parameters.

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Dynamic Analysis for a Subsurface Elastic Cylindrical Inclusion with a Semi- Cylindrical Hill Impacted by SH-Wave

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.199-200.945 ◽

2011 ◽

Vol 199-200 ◽

pp. 945-948

Author(s):

Xiao Lang Lv ◽

Dian Kui Liu

Keyword(s):

Stress Concentration ◽

Boundary Conditions ◽

Dynamic Stress ◽

Scattered Wave ◽

Cylindrical Inclusion ◽

Dynamic Stress Concentration ◽

Algebraic Equations ◽

Sh Wave ◽

Dynamic Stress Concentration Factor ◽

Variable Function

An analytic method is developed for dynamic stress concentration of a subsurface elastic cylindrical inclusion below a semi-cylindrical hill under SH-wave. And the dynamic stress concentration factor (DSCF) is given by complex variable function. During the solution, a standing wave and scattered wave displacement functions are constructed in different parts respectively. All of these displacement functions should satisfy the boundary conditions of each part. Employed to the boundary conditions around the elastic cylindrical inclusion, a series of infinite algebraic equations about the problem can be obtained. The calculating results of DSCF around the elastic cylindrical inclusion are plotted to show the effects of some parameters on DSCF.

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Surface Displacement of a Semi-Cylindrical Hill above a Subsurface Elastic Cylindrical Inclusion under SH-Wave

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.243-249.4037 ◽

2011 ◽

Vol 243-249 ◽

pp. 4037-4040

Author(s):

Xiao Tang Lv

Keyword(s):

Boundary Condition ◽

Boundary Conditions ◽

Complex Variable ◽

Surface Displacement ◽

Cylindrical Inclusion ◽

Computational Results ◽

Algebraic Equations ◽

Sh Wave ◽

Complex Variable Function ◽

Variable Function

Scattering of SH-wave by a semi-cylindrical hill above a subsurface elastic cylindrical inclusion in half-space is studied by complex variable function. Firstly, the whole solution domain is divided into two parts, and the solutions that satisfied the boundary conditions are constructed in two parts respectively. Then according to the “conjunction” condition of junction interface and the boundary condition around the subsurface elastic cylindrical inclusion, a set of infinite algebraic equations about the problem can be obtained. Finally the computational results of surface displacement were provided and discussed.

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Scattering of SH Wave by a Cylindrical Inclusion and a Semi-Cylindrical Hollow Near Vertical Interface Crack in the Bi-Material Half Space

Journal of Mechanics ◽

10.1017/jmech.2016.103 ◽

2016 ◽

Vol 33 (5) ◽

pp. 619-629 ◽

Cited By ~ 3

Author(s):

H. Qi ◽

X.-M. Zhang ◽

H.-Y. Cheng ◽

M. Xiang

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Stress Concentration ◽

Half Space ◽

Function Method ◽

Dynamic Stress ◽

Dynamic Stress Intensity Factor ◽

Cylindrical Inclusion ◽

Sh Wave ◽

Dynamic Stress Concentration Factor

AbstractWith the aid of the Green's function method and complex function method, the scattering problem of SH-wave by a cylindrical inclusion and a semi-cylindrical hollow in the bi-material half space is considered to obtain the steady state response. Firstly, by the means of the image method, the essential solution of displacement field as well as Green's function is constructed which satisfies the stress free on the horizontal boundary in a right-angle space including a cylindrical inclusion and a semi-cylindrical hollow and bearing a harmonic out-plane line source force at any point on the vertical boundary. Secondly, the bi-material half space is divided into two parts along the vertical interface, and the first kind of Fredholm integral equations containing undetermined anti-plane forces at the linking section is established by “the conjunction method” and “the crack-division method”, the integral equations are reduced to the algebraic equations consisting of finite items by effective truncation. Finally, dynamic stress concentration factor around the edge of cylindrical inclusion and dynamic stress intensity factor at crack tip are calculated, and the influences of effect of interface and different combination of material parameters, etc. on dynamic stress concentration factor and dynamic stress intensity factor are discussed.

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Dynamics of a Mode III Crack Impacted by Elastic Wave in Half Space with a Removable Rigid Cylindrical Inclusion

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.324-325.679 ◽

2006 ◽

Vol 324-325 ◽

pp. 679-682 ◽

Cited By ~ 2

Author(s):

Zai Lin Yang ◽

Dian Kui Liu ◽

Xiao Lang Lv

Keyword(s):

Green’S Function ◽

Half Space ◽

Green's Function ◽

Complex Function ◽

Elastic Half Space ◽

Cylindrical Inclusion ◽

Sh Wave ◽

Mode Iii ◽

Scattering Wave ◽

Moving Coordinate

Scattering of SH wave by a crack is studied in elastic half space with a removable rigid cylindrical inclusion by Green’s function, complex function and moving coordinate method. In half space, firstly the scattering wave function of removable rigid cylindrical inclusion is constructed; next a suitable Green’s function is solved for present problem, then using crack-division to make a crack. Thus the solution of problem can be obtained. Numerical examples are provided and discussed.

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Interaction of an elastic cylindrical inclusion and a crack in half space impacted by SH-wave

2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2009) ◽

10.1109/spawda.2009.5428963 ◽

2009 ◽

Author(s):

Zai-lin Ya ◽

Pei-lei Yan ◽

Bai-tao Sun

Keyword(s):

Half Space ◽

Cylindrical Inclusion ◽

Sh Wave

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SH-Wave Scattering From the Interface Defect

Advances in Cyber-Physical Systems ◽

10.23939/acps2020.01.045 ◽

2017 ◽

Vol 5 (1) ◽

pp. 45-50

Author(s):

Myron Voytko ◽

◽

Yaroslav Kulynych ◽

Dozyslav Kuryliak

Keyword(s):

Half Space ◽

Wave Diffraction ◽

Scattered Field ◽

Wave Scattering ◽

Elastic Layer ◽

Analytical Form ◽

Structure Parameters ◽

Sh Wave ◽

Interface Defect ◽

Hopf Method

The problem of the elastic SH-wave diffraction from the semi-infinite interface defect in the rigid junction of the elastic layer and the half-space is solved. The defect is modeled by the impedance surface. The solution is obtained by the Wiener- Hopf method. The dependences of the scattered field on the structure parameters are presented in analytical form. Verifica¬tion of the obtained solution is presented.

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