An experimental study of the hertz problem for a slab resting on an elastic half-space

1968 ◽  
Vol 4 (4) ◽  
pp. 84-87
Author(s):  
V. P. Potelezhko
Keyword(s):  
Experimental Study ◽  
Half Space ◽  
Elastic Half Space ◽  
Hertz Problem

On Elastic Line Contact

1972 ◽  
Vol 39 (4) ◽  
pp. 1125-1132 ◽  
Author(s):  
J. J. Kalker
Keyword(s):  
Half Space ◽  
Surface Displacement ◽  
Elastic Half Space ◽  
Characteristic Dimension ◽  
The Body ◽  
Contact Theory ◽  
Total Force ◽  
Asymptotic Results ◽  
Elastic Line ◽  
Hertz Problem

Two-dimensional elastic half-space contact theory suffers from the defect that the surface displacement with respect to infinity becomes infinitely large when the total force carried by the half space is different from zero. Several authors removed this defect by altering the geometry so that the depth of the elastic body becomes finite. In the present paper another approach is chosen by considering contact areas which are many times as long as they are wide, but which still are small as compared with a characteristic dimension of the body which is approximated by the half space. As one of the examples, the Hertz problem is considered, and the asymptotic results are compared with the exact theory. It is found that errors of 10–15 percent are found when the contact ellipse is twice as long as wide, and errors of 2–3 percent are encountered when the ratio of the axes is five.

scholarly journals Numerical and experimental study of multi-contact on an elastic half-space

2009 ◽  
Vol 51 (1) ◽  
pp. 33-40 ◽  
Author(s):  
J. Cesbron ◽  
H.P. Yin ◽  
F. Anfosso-Lédée ◽  
D. Duhamel ◽  
D. Le Houédec ◽  
...  
Keyword(s):  
Experimental Study ◽  
Half Space ◽  
Elastic Half Space

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.

Guided Surface Waves on an Elastic Half Space

1971 ◽  
Vol 38 (4) ◽  
pp. 899-905 ◽  
Author(s):  
L. B. Freund
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Surface Waves ◽  
Half Space ◽  
Body Wave ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Normal Displacement ◽  
Rigid Barrier ◽  
Wave Disturbances

Three-dimensional wave propagation in an elastic half space is considered. The half space is traction free on half its boundary, while the remaining part of the boundary is free of shear traction and is constrained against normal displacement by a smooth, rigid barrier. A time-harmonic surface wave, traveling on the traction free part of the surface, is obliquely incident on the edge of the barrier. The amplitude and the phase of the resulting reflected surface wave are determined by means of Laplace transform methods and the Wiener-Hopf technique. Wave propagation in an elastic half space in contact with two rigid, smooth barriers is then considered. The barriers are arranged so that a strip on the surface of uniform width is traction free, which forms a wave guide for surface waves. Results of the surface wave reflection problem are then used to geometrically construct dispersion relations for the propagation of unattenuated guided surface waves in the guiding structure. The rate of decay of body wave disturbances, localized near the edges of the guide, is discussed.

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