The Stress Field Created by a Circular Sliding Contact on Transversely Isotropic Spheres
Abstract
The field equations for a transversely isotropic half-space are defined in terms of potential functions. A form of the potential functions satisfying equilibrium is assumed and the boundary value problem of a tangentially loaded spherical indentor on the half-space is solved. Expressions are obtained defining the radius of no-slip for the static case, and the relationship between the horizontal surface displacement under the indentor and the horizontally applied force. Stresses for tangential loading are superposed with those previously obtained for normal loading of the indentor, and the stress field is defined in the half-space and on the surface for both static and sliding cases. Von Mises' criteria for the sliding case is calculated and plotted in the half-space and on the surface for two transversely isotropic metals using two separate coefficients of limiting friction, and on the surface for the static case for magnesium with a coefficient of limiting friction of .5.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1978
- Accession Number
- ADA053521
Entities
People
- Dale B. Mowry
Organizations
- Northwestern University