The Hertz Contact Problem with Finite Friction.
Abstract
The indentation of an elastic half space by a rigid axisymmetric punch under a monotonically applied normal force is formulated as a mixed boundary value problem under the assumption of Coulomb friction in the region of contact. It is shown that within an inner circle the contact is adhesive, and that in the surrounding annulus the surface moves inwards with increasing load. The slip boundary between the two regions is an eigenvalue depending on the friction coefficient mu and the Poisson ratio ni of the half space. An iterative numerical solution for flat-faced indentors in terms of a dual system of Volterra equations is described. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1972
- Accession Number
- AD0755071
Entities
People
- D. A. Spence
Organizations
- University of Wisconsin–Madison