scholarly journals A Mixed Boundary Value Problem of an Elastic Half-Space under Torsion by a Flat Annular Rigid Stamp

1976 ◽  
Vol 19 (129) ◽  
pp. 233-238 ◽  
Author(s):  
Toshikazu SHIBUYA
Keyword(s):  
Boundary Value Problem ◽  
Half Space ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Elastic Half Space ◽  
Mixed Boundary Value Problem ◽  
Rigid Stamp

scholarly journals An Asymmetric Mixed Boundary Value Problem of the Elastic Half-Space Subjected to Moment by an Annular Rigid Punch

1978 ◽  
Vol 21 (154) ◽  
pp. 566-571 ◽  
Author(s):  
Toshiaki HARA ◽  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI ◽  
Ichiro NAKAHARA
Keyword(s):  
Boundary Value Problem ◽  
Half Space ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Elastic Half Space ◽  
Rigid Punch ◽  
Mixed Boundary Value Problem

A Torsional Contact Problem for an Indented Half-Space

1996 ◽  
Vol 63 (1) ◽  
pp. 1-6 ◽  
Author(s):  
R. Y. S. Pak ◽  
F. Abedzadeh
Keyword(s):  
Stress Distribution ◽  
Boundary Value Problem ◽  
Contact Problem ◽  
Half Space ◽  
Contact Stress ◽  
Mixed Boundary ◽  
Elastic Half Space ◽  
Torsional Stiffness ◽  
Mixed Boundary Value Problem ◽  
Contact Stress Distribution

This paper is concerned with the torsion of a rigid disk bonded to the bottom of a cylindrical indentation on an elastic half-space. By virtue of Fourier sine and cosine transforms, the mixed boundary value problem in classical elastostatics is shown to be reducible to a pair of integral equations, of which one possesses a generalized Cauchy singular kernel. With the aid of the theory of analytic functions, the inherent fractional-order singularity in the contact problem is rendered explicit. Illustrative results on the torsional stiffness of the base of the indentation and the corresponding contact stress distribution are presented for engineering applications.

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