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

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.

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

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.

Complex-variable-function–Gaussian solitons

2008 ◽  
Vol 34 (1) ◽  
pp. 43 ◽  
Author(s):  
Dongmei Deng ◽  
Qi Guo ◽  
Wei Hu
Keyword(s):  
Complex Variable ◽  
Complex Variable Function ◽  
Variable Function ◽  
Gaussian Solitons

scholarly journals Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Hongmei Wu
Keyword(s):  
Wave Scattering ◽  
Radial Stress ◽  
Function Method ◽  
Dynamic Stress ◽  
Analytic Solutions ◽  
Interface Effect ◽  
Sh Wave ◽  
Complex Variable Function ◽  
Variable Function ◽  
Complex Variable Function Method

This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method. The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale. Considering the interface effect, the boundary condition is given, and the infinite algebraic equations are established to solve the unknown coefficients of the scattered and refracted wave solutions. The analytic solutions of the stress field are obtained by using the orthogonality of trigonometric function. Finally, the dynamic stress concentration factor and the radial stress of a circular nanoinclusion are analyzed with some numerical results. The numerical results show that the interface effect weakens the dynamic stress concentration but enhances the radial stress around the nanoinclusion; further, we prove that the analytic solutions are correct.

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