Implementation of the Contensou–Erismann tangent forces model in the Hertz contact problem

2010 ◽  
Vol 24 (3) ◽  
pp. 281-301 ◽  
Author(s):  
Ivan I. Kosenko ◽  
Evgeniy B. Aleksandrov
Keyword(s):  
Contact Problem ◽  
Hertz Contact ◽  
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.

Study of Analysis Method for Hertz Contact Problem in Friction Drive

2014 ◽  
Vol 900 ◽  
pp. 798-802
Author(s):  
Ling Ling ◽  
Ju Qun Yi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Contact Problem ◽  
Elliptic Integral ◽  
Computational Cost ◽  
Point Contact ◽  
Computation Method ◽  
Hertz Contact ◽  
Hertz Contact Problem ◽  
Element Method

In order to deal with Hertz contact problem of friction drive in continuously variable transmission (CVT), two methods were proposed in this paper. One is a numerical computation method by MATLAB to solve the elliptic integral equations of Hertz contact, while the other is a finite element method (FEM) which uses the ANSYS Workbench to calculate the point contact between two elastic bodies. The computation results of Hertz contact problem of friction drive in a new CVT proposed by our research group show that, compared with a look-up table method, the numerical solution of MATLAB has many advantages such as high precision and less computational cost, while the finite element method has more simplicity and better visibility. The present methods can provide a reference for the solution of Hertz contact problem of common friction drive.

scholarly journals Planar Hertz Contact With Heat Conduction

1981 ◽  
Vol 48 (3) ◽  
pp. 549-554 ◽  
Author(s):  
M. Comninou ◽  
J. Dundurs ◽  
J. R. Barber
Keyword(s):  
Integral Equation ◽  
Heat Conduction ◽  
Contact Problem ◽  
Boundary Conditions ◽  
Hertz Contact ◽  
Imperfect Contact ◽  
Common Boundary ◽  
Heat Flows ◽  
The Common ◽  
Hertz Contact Problem

The paper discusses the planar Hertz contact problem when the bodies are not only pressed together but also exchange heat by conduction. The nature of the problem and the results depend strongly on the direction of heat flow. If heat flows into the material with the larger distortivity, the common boundary conditions are sufficient to achieve a solution which satisfies the inequalities associated with a contact problem. For heat flowing in the opposite direction, the common boundary conditions by themselves lead to contradictions, but the difficulties can be overcome by introducing a zone of imperfect contact. The formulation is based on a suitable Green’s function, and the problem is reduced to a singular integral equation which must be solved numerically.

Sign in / Sign up

Export Citation Format

Share Document