Torsional vibrations of an elastic half-space induced by the rotation of an annular punch

1970 ◽  
Vol 6 (3) ◽  
pp. 231-235
Author(s):  
N. M. Borodachev ◽  
Yu. A. Mamteev
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Torsional Vibrations ◽  
Annular Punch

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.

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