Action of an annular punch with a plane base on a layer lying on an elastic half-space

1975 ◽  
Vol 11 (7) ◽  
pp. 694-698
Author(s):  
V. S. Gubenko ◽  
M. Ya. Kiselev ◽  
V. D. Lamzyuk
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Plane Base ◽  
Annular Punch

scholarly journals Contact interaction of prestressed annular punch and half-space

2020 ◽  
pp. 24-30
Author(s):  
S.Yu. Babich ◽  
◽  
N.O. Yaretska ◽  
Keyword(s):  
Half Space ◽  
Contact Interaction ◽  
Elastic Half Space ◽  
Theory Of Elasticity ◽  
Natural State ◽  
Small Perturbations ◽  
Linearized Theory Of Elasticity ◽  
Annular Punch ◽  
Linearized Theory ◽  
Deformed State

The article is devoted to the task of contact interaction of the pressure of a pre-stressed cylindrical annular punch on the half-space with initial (residual) stresses without friction. It is solved for the case of unequal roots of the characteristic equation. In general, the research was carried out for the theory of great initial (ultimate) deformations and two variants of the theory of small initial ones within the framework of linearized theory of elasticity with the elastic potential having any structure. It is assumed that the initial states of the elastic annular stamp and the elastic half-space remain homogeneous and equal. The study is carried out in the coordinates of the initial deformed state, which are interrelated with Lagrange coordinates (natural state). In addition, the influence of the annular stamp causes small perturbations of the basic elastic deformed state. It is assumed that the elastic annular stamp and the elastic half-space are made of different isotropic, transversal-isotropic or composite materials.

Pressing of a bevel annular punch into an elastic half-space

1980 ◽  
Vol 16 (4) ◽  
pp. 293-298
Author(s):  
A. B. Roitman ◽  
S. F. Shishkanova
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Annular Punch

Vertical Action of a Concentric Multi-Annular Punch on a Transversely Isotropic Elastic Half-Space

2012 ◽  
Vol 79 (4) ◽  
Author(s):  
Morteza Eskandari-Ghadi ◽  
Ronald Y. S. Pak ◽  
Azizollah Ardeshir-Behrestaghi
Keyword(s):  
Half Space ◽  
Mixed Boundary ◽  
Transversely Isotropic ◽  
Elastic Half Space ◽  
Computational Approach ◽  
Mixed Boundary Value Problem ◽  
Contact Conditions ◽  
Degree Of Anisotropy ◽  
Annular Punch ◽  
Vertical Action

In this paper, the response of a transversely isotropic half-space under the punch action of a set of rigid concentric annuli frictionless contacts is considered. By virtue of a compact potential representation and Hankel transforms, a set of ring-load Green’s functions for the axisymmetric equations of equilibrium are derived and shown to be expressible in terms of standard elliptic integrals. With the aid of a rigorous yet highly efficient numerical method, the integral equation is solved for the multi-interval singular mixed boundary value problem. Detailed solutions to illustrate the performance of the computational approach and the influence of the degree of anisotropy and contact conditions on the mechanics problem are presented.

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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