The Elastic and Electric Fields for Elliptical Hertzian Contact for Transversely Isotropic Piezoelectric Bodies

1999 ◽  
Vol 66 (2) ◽  
pp. 560-562 ◽  
Author(s):  
H. J. Ding ◽  
P. F. Hou ◽  
F. L. Guo
Keyword(s):  
Electric Fields ◽  
Transversely Isotropic ◽  
Hertzian Contact ◽  
Elastic And Electric Fields

Macroscopic elastic and electric fields in ferroelectrics: Phenomenology and simulations

1999 ◽  
Vol 235 (1) ◽  
pp. 97-110 ◽  
Author(s):  
E. Klotins ◽  
A. Stemberg ◽  
K. Kundzins
Keyword(s):  
Electric Fields ◽  
Elastic And Electric Fields

The Elastic Field Resulting From Elliptical Hertzian Contact of Transversely Isotropic Bodies: Closed-Form Solutions for Normal and Shear Loading

1997 ◽  
Vol 64 (3) ◽  
pp. 457-465 ◽  
Author(s):  
M. T. Hanson ◽  
I. W. Puja
Keyword(s):  
Closed Form ◽  
Half Space ◽  
Elastic Field ◽  
Transversely Isotropic ◽  
Normal Pressure ◽  
Shear Loading ◽  
Potential Functions ◽  
Hertzian Contact ◽  
Elementary Functions ◽  
Shear Traction

This analysis presents the elastic field in a half-space caused by an ellipsoidal variation of normal traction on the surface. Coulomb friction is assumed and thus the shear traction on the surface is taken as a friction coefficient multiplied by the normal pressure. Hence the shear traction is also of an ellipsoidal variation. The half-space is transversely isotropic, where the planes of isotropy are parallel to the surface. A potential function method is used where the elastic field is written in three harmonic functions. The known point force potential functions are utilized to find the solution for ellipsoidal loading by quadrature. The integrals for the derivatives of the potential functions resulting from ellipsoidal loading are evaluated in terms of elementary functions and incomplete elliptic integrals of the first and second kinds. The elastic field is given in closed-form expressions for both normal and shear loading.

On the Frictional Characteristics of Ball Bearings Coated With Solid Lubricants

1999 ◽  
Vol 121 (4) ◽  
pp. 761-767 ◽  
Author(s):  
M. R. Lovell ◽  
M. M. Khonsari
Keyword(s):  
Finite Element ◽  
Friction Force ◽  
Normal Load ◽  
Transversely Isotropic ◽  
Solid Lubricants ◽  
Operating Conditions ◽  
Hertzian Contact ◽  
Ball Bearings ◽  
Normal Contact ◽  
Low Speed

The problem of a ball bearing in normal contact between two transversely isotropic coated substrates is investigated using the finite element method (FEM). A three-dimensional finite element model is developed that accurately determines the steady friction force in low-speed bearing systems containing soft layered solid lubricant films. Extensive numerical results, which are verified using Hertzian contact theory and laboratory experiments, are obtained at 540 operating conditions by varying coating material, coating thickness, normal load, ball material, and ball radius. Friction force results generated from the FEM are normalized by introducing the dimensionless transversely isotropic coating parameter, ξ. A numerical expression for the normalized friction force in coated ball bearings is determined by curvefitting the results of the 540 simulations performed. The relevance of such an expression, as related to the durability of low-speed bearings, is subsequently ascertained and discussed.

Analysis of a Transversely Isotropic Half Space Under Normal and Tangential Loadings

1991 ◽  
Vol 113 (2) ◽  
pp. 335-338 ◽  
Author(s):  
W. Lin ◽  
C. H. Kuo ◽  
L. M. Keer
Keyword(s):  
Closed Form ◽  
Half Space ◽  
Transversely Isotropic ◽  
Contact Problems ◽  
Contact Stresses ◽  
Hertzian Contact ◽  
Stress Fields ◽  
Tangential Contact ◽  
Rectangular Patch

This paper analyzes the response of a transversely isotropic half space subjected to various distributions of normal and tangential contact stresses on its surface. Both the interior displacement and stress fields are given in closed form. Among them, rectangular patch solutions are constructed for application to solutions to non-Hertzian contact problems.

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