scholarly journals The Hertz contact problem in couple-stress elasticity

2019 ◽  
Vol 168 ◽  
pp. 228-237 ◽  
Author(s):  
P.A. Gourgiotis ◽  
Th. Zisis ◽  
A.E. Giannakopoulos ◽  
H.G. Georgiadis
Keyword(s):  
Contact Problem ◽  
Couple Stress ◽  
Hertz Contact ◽  
Couple Stress Elasticity ◽  
Hertz Contact Problem

Some useful results in the classical Hertz contact problem

1983 ◽  
Vol 18 (2) ◽  
pp. 101-105 ◽  
Author(s):  
A Sackfield ◽  
D A Hills
Keyword(s):  
Stress Field ◽  
Contact Problem ◽  
Hertz Contact ◽  
Hertz Contact Problem

A resumé is given of the results available in the literature for the stresses resulting from frictionless loading by Hertz pressures. The problem is posed formally in tensor notation and new convenient forms are given for the complete stress field, in the general elliptical-patch case.

The Stresses Induced in a Half-Space by an Arbitrary Axisymmetric Pressure Distribution

1987 ◽  
Vol 109 (4) ◽  
pp. 630-633
Author(s):  
D. A. Hills ◽  
A. Sackfield
Keyword(s):  
Contact Problem ◽  
Pressure Distribution ◽  
Half Space ◽  
Fourth Order ◽  
Small Area ◽  
Hertz Contact ◽  
Hertz Contact Problem ◽  
General Method

A general method is described for deducing the stresses induced in a half-space by an axisymmetric pressure distribution applied over a small area of the surface. The technique is illustrated by re-evaluating the solution to Hertz’ contact problem, and deducing the stresses induced in a fourth-order contacting pair.

A note on the hertz contact problem: A correlation of standard formulae

1983 ◽  
Vol 18 (3) ◽  
pp. 195-197 ◽  
Author(s):  
A Sackfield ◽  
D Hills
Keyword(s):  
Contact Problem ◽  
Hertzian Contact ◽  
Hertz Contact ◽  
Geometry Problem ◽  
Special Case ◽  
Hertz Contact Problem

The values of stresses resulting from point or line Hertzian contact (including frictional traction) are deduced as a special case of the general elliptical geometry problem, and are compared with known solutions.

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