Scattering and diffraction of sh waves by multiple planar cracks in an anisotropic half-space: A hypersingular integral formulation

1993 ◽  
Vol 30 (10) ◽  
pp. 1301-1312 ◽  
Author(s):  
W.T. Ang ◽  
D.L. Clements ◽  
M. Dehghan
Keyword(s):  
Half Space ◽  
Integral Formulation ◽  
Sh Waves ◽  
Hypersingular Integral

Dynamic Interaction of Two Independent SDOF Oscillators Supported by a Flexible Foundation Embedded in a Half-Space: Closed-Form Analytical Solution for Incident Plane SH-Waves

2021 ◽  
pp. 1-24
Author(s):  
Liguo Jin ◽  
Liting Du ◽  
Haiyan Wang
Keyword(s):  
Analytical Solution ◽  
Closed Form ◽  
Half Space ◽  
Strong Interaction ◽  
Rigid Foundation ◽  
Structural Stiffness ◽  
Sh Waves ◽  
Closed Form Analytical Solution ◽  
Flexible Foundation ◽  
Plane Sh Waves

This paper presents a closed-form analytical solution for the dynamic response of two independent SDOF oscillators standing on one flexible foundation embedded in an elastic half-space and excited by plane SH waves. The solution is obtained by the wave function expansion method and is verified by comparison with the results of the special cases of a rigid foundation and the published research result of a flexible foundation. The model is utilized to investigate how the foundation stiffness influences the system response. The results show that there will be a significant interaction between the two independent structures on one flexible foundation and the intensity of the interaction is mainly dependent on foundation stiffness and structural stiffness. For a system with more flexible foundation, strong interaction will exist between the two structures; larger structural stiffness will also lead to a strong interaction between the two structures. When the structural mass and the structural stiffness are all larger, the flexible foundation cannot be treated as a rigid foundation even if the foundation stiffness is many times larger than that of soil. This model may be useful to get insight into the effects of foundation flexibility on the interaction of two independent structures standing on one flexible foundation.

Dynamic analysis of anisotropic half space containing an elliptical inclusion under SH waves

2020 ◽  
Vol 43 (11) ◽  
pp. 6888-6902
Author(s):  
Guanxixi Jiang ◽  
Zailin Yang ◽  
Cheng Sun ◽  
Baitao Sun ◽  
Yong Yang
Keyword(s):  
Dynamic Analysis ◽  
Half Space ◽  
Sh Waves ◽  
Elliptical Inclusion

Spectral properties of the surface SH waves in a vertically periodic half‐space

2008 ◽  
Vol 123 (5) ◽  
pp. 3843-3843
Author(s):  
Stanislav V. Golkin ◽  
Olivier Poncelet ◽  
Alexander Shuvalov
Keyword(s):  
Half Space ◽  
Spectral Properties ◽  
Sh Waves

THREE-DIMENSIONAL SURFACE CRACK ANALYSIS OF ELASTIC HALF-SPACE UNDER ROLLING CONTACT LOAD

2009 ◽  
Vol 06 (02) ◽  
pp. 317-332 ◽  
Author(s):  
MENG-CHENG CHEN ◽  
HUI-QIN YU
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Half Space ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Rolling Contact ◽  
Contact Load ◽  
Hypersingular Integral ◽  
Space Body ◽  
Planar Crack

In this work a three-dimensional planar crack on the surface of elastic half-space was analyzed under rolling contact load. The stresses interior to an elastic half-space body under rolling contact load and those produced by an infinitesimal displacement jump loop for the elastic half-space body were used to reduce the planar crack problem to the solution of a system of two-dimensional hypersingular integral equations with unknown displacement jump. The ideas of finite element discretization were employed to construct numerical solution schemes for solving the integral equations. An appropriate treatment of the associated hypersingular integral in the numerical solution to the integral equations was proposed in Hadamard's finite-part integral sense. The numerical results showed that the present procedure yields solutions with high accuracies. The stress intensity factors near the crack front edge under rolling contact load were indicated in graphical form with varying the crack shape, the radius of rolling contact zone and the friction coefficients, respectively. In addition, the influence of the lubricant infiltrating the crack surfaces on the crack propagation was also discussed in the paper.

Effect of point source and heterogeneity on the propagation of SH-Waves in a viscoelastic layer over a viscoelastic half space

2011 ◽  
Vol 60 (1) ◽  
pp. 119-139 ◽  
Author(s):  
Amares Chattopadhyay ◽  
Shishir Gupta ◽  
Pato Kumari ◽  
Vikash K. Sharma
Keyword(s):  
Point Source ◽  
Half Space ◽  
Viscoelastic Layer ◽  
Sh Waves
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