Engineering
dimensions_id
pub.1021845772
https://scigraph.springernature.com/explorer/license/
The hertz contact problem with finite friction
articles
en
false
The indentation of an elastic half-space by an axisymmetric punch under a monotonically applied normal force is formulated as a mixed boundary value problem under the assumption of Coulomb friction with coefficient μ in the region of contact. Within an inner circle the contact is adhesive, while in the surrounding annulus the surface moves inwards with increasing load. The slip boundary between the two regions depends on μ and the Poisson ratio v, and is found uniquely as an eigenvalue of a certain integral equation. For power law indentors of the form z∝rn, a group property of the integral operator connecting stresses and displacements makes it possible to derive the contact stress distributions from those under a flat punch by a simple quadrature, and shows that the slip radius is the same in all such cases. An iterative numerical solution using a dual system of Volterra equations is described, and calculated distributions of surface stress presented for the cases of indentation by a flat punch and by a sphere.
http://link.springer.com/10.1007/BF00126993
1975-11-01
2019-04-11T13:52
1975-11
297-319
research_article
5
Department of Engineering Science, University of Oxford, Oxford, England
University of Wisconsin–Madison
Mathematics Research Center, University of Wisconsin, 53706, Madison, Wisconsin, USA
0374-3535
Journal of Elasticity
1573-2681
Materials Engineering
D. A.
Spence
Springer Nature - SN SciGraph project
10.1007/bf00126993
doi
readcube_id
68147e2bf00a0d2b872b870be14e54cb2ffd1e549cd3faa1d7661ef500ab7756
3-4