Nonstationary contact problem for a solid body in an elastic half-space

1984 ◽  
Vol 20 (6) ◽  
pp. 425-429
Author(s):  
N. A. Lavrov ◽  
L. I. Slepyan
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Solid Body ◽  
Elastic Half Space

An experimental study on the contact problem of spherical indentation on the anisotropic elastic half-space based on imaging

2019 ◽  
Vol 131 ◽  
pp. 61-68 ◽  
Author(s):  
Lei Zhou ◽  
Shibin Wang ◽  
Zhiyong Wang ◽  
Huixin Wei ◽  
Zhiliang Wu ◽  
...  
Keyword(s):  
Experimental Study ◽  
Contact Problem ◽  
Half Space ◽  
Elastic Half Space ◽  
Spherical Indentation ◽  
Anisotropic Elastic

scholarly journals An Axisymmetric Contact Problem of an Elastic Half-Space with a Spherical Cavity.

1991 ◽  
Vol 57 (543) ◽  
pp. 2664-2671
Author(s):  
Takao AKIYAMA ◽  
Toshiaki HARA ◽  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Axisymmetric Contact Problem

Axisymmetric contact with friction of a rigid sphere with an elastic half-space

2009 ◽  
Vol 465 (2108) ◽  
pp. 2565-2588 ◽  
Author(s):  
O. I. Zhupanska
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Integral Transform ◽  
Elastic Half Space ◽  
Rigid Sphere ◽  
Analytical Treatment ◽  
Normal Contact ◽  
Exact Analytical Solutions ◽  
Single Integral ◽  
Toroidal Coordinates

The problem of normal contact with friction of a rigid sphere with an elastic half-space is considered. An analytical treatment of the problem is presented, with the corresponding boundary-value problem formulated in the toroidal coordinates. A general solution in the form of Papkovich–Neuber functions and the Mehler–Fock integral transform is used to reduce the problem to a single integral equation with respect to the unknown contact pressure in the slip zone. An analysis of contact stresses is carried out, and exact analytical solutions are obtained in limiting cases, including a full stick contact problem and a contact problem for an incompressible half-space.

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