Accession Number : AD0755071

Title :   The Hertz Contact Problem with Finite Friction.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Spence,D. A.

Report Date : OCT 1972

Pagination or Media Count : 52

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)

Descriptors :   (*STRESSES, FRICTION), STRAIN(MECHANICS), BOUNDARY VALUE PROBLEMS, DIFFERENTIAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS), NUMERICAL ANALYSIS, INTEGRAL EQUATIONS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE