Breaking of Contact Between an Elastic Half Space and a Rigid Base in a Circular Region Under the Action of a Circular Heat Sink

2019 ◽  
Vol 55 (3) ◽  
pp. 320-326
Author(s):  
Kh. I. Serednyts’ka ◽  
M. M. Mykytyn ◽  
R. M. Martynyak
Keyword(s):  
Half Space ◽  
Heat Sink ◽  
Elastic Half Space ◽  
Rigid Base ◽  
Circular Region ◽  
Circular Heat

The Wavefield Radiated Into an Elastic Half-Space by a Transducer of Large Aperture

1988 ◽  
Vol 55 (2) ◽  
pp. 398-404 ◽  
Author(s):  
John G. Harris
Keyword(s):  
Power Series ◽  
Plane Wave ◽  
Half Space ◽  
Wave Equations ◽  
Ultrasonic Transducer ◽  
Elastic Half Space ◽  
The Other ◽  
Circular Region ◽  
Asymptotic Power ◽  
Normal Traction

The wavefield radiated into an elastic half-space by an ultrasonic transducer, as well as the radiation admittance of the transducer coupled to the half-space, are studied. Two models for the transducer are used. In one an axisymmetric, Gaussian distribution of normal traction is imposed upon the surface, while in the other a uniform distribution of normal traction is imposed upon a circular region of the surface, leaving the remainder free of traction. To calculate the wavefield, each wave emitted by the transducer is expressed as a plane wave multiplied by an asymptotic power series in inverse powers of the aperture’s (scaled) radius. This reduces the wave equations satisfied by the compressional and shear potentials to their parabolic approximations. The approximations to the radiated waves are accurate at a depth where the wavefield remains well collimated.

scholarly journals Contact Stresses of an Elastic Half-space Pressed on a Rigid Base with a Smooth Projection

1983 ◽  
Vol 26 (214) ◽  
pp. 499-505
Author(s):  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI ◽  
Toshimitsu TAKAGI
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Contact Stresses ◽  
Rigid Base

The Measurement of the Dynamic Properties for an Elastic Half-Space Medium

2005 ◽  
Author(s):  
H. R. Hamidzadeh ◽  
M. Dehghani
Keyword(s):  
Analytical Solution ◽  
Half Space ◽  
Dynamic Properties ◽  
Damping Ratio ◽  
Elastic Half Space ◽  
Laboratory Model ◽  
Rigid Base ◽  
Space Model ◽  
Frequency Responses ◽  
Soil Foundation

Reliable dynamic analysis of soil-foundation interaction requires knowledge of dynamic properties of shear modulus, Poisson’s ratio and the geometrical damping ratio of the medium. In the case of a machine foundation resting on the surface of ground it is common to assume a rigid base for the foundation and an elastic half-space model for the ground. To properly evaluate dynamic properties of medium a technique based on resonant testing in conjunction with analytical solution is adopted. In the experimental part of the analysis vertical frequency responses of different rigid square blocks individually resting on the medium are measured. These results are correlated with frequency responses computed using an established analytical solution. Analyzing this equitability of results can provide estimated values for dynamic properties of the medium. The validity of the proposed method is verified by performing experiments on laboratory model.

The efficiency of application of virtual cross-sections method and hypotheses MELS in problems of wave signal propagation in elastic waveguides with rough surfaces

2016 ◽  
pp. 3564-3575 ◽  
Author(s):  
Ara Sergey Avetisyan
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Classical Method ◽  
Signal Propagation ◽  
Elastic Half Space ◽  
Layered Systems ◽  
Surface Layers ◽  
Inhomogeneous Surface ◽  
Wave Signal ◽  
The Impact

The efficiency of virtual cross sections method and MELS (Magneto Elastic Layered Systems) hypotheses application is shown on model problem about distribution of wave field in thin surface layers of waveguide when plane wave signal is propagating in it. The impact of surface non-smoothness on characteristics of propagation of high-frequency horizontally polarized wave signal in isotropic elastic half-space is studied. It is shown that the non-smoothness leads to strong distortion of the wave signal over the waveguide thickness and along wave signal propagation direction as well.  Numerical comparative analysis of change in amplitude and phase characteristics of obtained wave fields against roughness of weakly inhomogeneous surface of homogeneous elastic half-space surface is done by classical method and by proposed approach for different kind of non-smoothness.

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