Quasi-static bending of a cylindrical elastic bar partially embedded in a saturated elastic half-space

1980 ◽  
Vol 16 (7) ◽  
pp. 625-644 ◽  
Author(s):  
V. Apirathvoraku ◽  
P. Karasudhi
1984 ◽  
Vol 8 (4) ◽  
pp. 219-226 ◽  
Author(s):  
P. Karasudhi ◽  
R.K.N.D. Rajapakse ◽  
K.K. Liyanage

This paper is a reconsideration of elastostatic load transfer problem of a long cylindrical elastic bar partially embedded in an elastic half space. Each problem is considered as consisting of two interacting systems, an extended half space and a one-dimensional fictitious bar. A compatibility condition is imposed near the interface of the interacting systems. In order to incorporate the real phenomenon of stress singularities at the ends of the bar, without carrying our a complicated derivation of the stress singularity factor, the basic unknown force at both ends of the fictitious bar is set to zero. However, the effects of the stress singularity are found to be not significant, especially for long bars and when the main concern is only on the force-displacement relationship at the top end of the bar.


2016 ◽  
pp. 3564-3575 ◽  
Author(s):  
Ara Sergey Avetisyan

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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