Friction Effects on the Edge-of-Contact Stresses for Sliding Contact Between a Flat Punch With Rounded Corners and a Half Space

2017 ◽  
Vol 84 (12) ◽  
Author(s):  
G. B. Sinclair
Keyword(s):  
Closed Form ◽  
Half Space ◽  
Contact Pressure ◽  
Contact Stresses ◽  
Sliding Contact ◽  
Flat Punch ◽  
Title Problem

For the title problem, the punch is assumed to be pressed vertically into the horizontal upper surface of the half space, then slide horizontally sideways. A range of such configurations is identified that permit Shtaerman’s solution for the contact pressure for a rigid frictionless punch to be modified so that it applies to a deformable punch and also yields the contact stresses when the punch slides in the presence of friction. Closed-form expressions are obtained for the peak edge-of-contact stresses. These edge-of-contact stresses can fluctuate significantly with even modest amounts of sliding.

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.

scholarly journals A closed-form formulation for the conformal articulation of metal-on-polyethylene hip prostheses: Contact mechanics and sliding distance

2018 ◽  
Vol 232 (12) ◽  
pp. 1196-1208 ◽  
Author(s):  
Ehsan Askari ◽  
Michael S Andersen
Keyword(s):  
Finite Element ◽  
Closed Form ◽  
Contact Mechanics ◽  
Contact Pressure ◽  
Contact Point ◽  
Contact Stresses ◽  
Computational Time ◽  
Physiological Loading ◽  
Sliding Distance ◽  
Inertia Forces

Using Hertz contact law results in inaccurate outcomes when applied to the soft conformal hip implants. The finite element method also involves huge computational time and power. In addition, the sliding distance computed using the Euler rotation method does not incorporate tribology of bearing surfaces, contact mechanics and inertia forces. This study, therefore, aimed to develop a nonlinear dynamic model based on the multibody dynamic methodology to predict contact pressure and sliding distance of metal-on-polyethylene hip prosthesis, simultaneously, under normal walking condition. A closed-form formulation of the contact stresses distributed over the articulating surfaces was derived based upon the elastic foundation model, which reduced computational time and cost significantly. Three-dimensional physiological loading and motions, inertia forces due to hip motion and energy loss during contact were incorporated to obtain contact properties and sliding distance. Comparing the outcomes with that available in the literature and a finite element analysis allowed for the validation of our approach. Contours of contact stresses and accumulated sliding distances at different instants of the walking gait cycle were investigated and discussed. It was shown that the contact point at each instant was located within the zone with the corresponding highest accumulated sliding distance. In addition, the maximum contact pressure and area took place at the stance phase with a single support. The stress distribution onto the cup surface also conformed to the contact point trajectory and the physiological loading.

Computation of stresses and deformations for a two-dimensional sliding contact between an elastic layer and a rigid indenter with a rounded profile

2003 ◽  
Vol 38 (2) ◽  
pp. 161-168 ◽  
Author(s):  
M. J Jaffar
Keyword(s):  
Thin Layer ◽  
Layer Thickness ◽  
Contact Pressure ◽  
Elastic Layer ◽  
Sliding Contact ◽  
Rigid Foundation ◽  
Two Dimensional ◽  
Flat Punch ◽  
Contact Width ◽  
Indentation Problem

The two-dimensional indentation problem of an elastic layer by either a wedge with a rounded tip or a flat punch with rounded corners in the presence of friction is investigated numerically. Contact stresses and deformations are presented when the layer is either bonded or resting without friction on a rigid foundation. Moreover, a set of asymptotic solutions for the contact pressure is obtained for an unbonded thin layer (the contact width is significantly larger than the layer thickness). The effects of several parameters on the results are examined.

Sliding contact between a blunt wedge and an elastically dissimilar half-plane

1998 ◽  
Vol 33 (6) ◽  
pp. 469-472 ◽  
Author(s):  
C E Truman ◽  
A Sackfield ◽  
D A Hills
Keyword(s):  
Closed Form ◽  
Contact Pressure ◽  
Half Plane ◽  
Coefficient Of Friction ◽  
Sliding Contact ◽  
Material Mismatch

Closed-form expressions for the contact pressure between a blunt wedge and an elastically dissimilar half-plane are presented. It is demonstrated that for practical values of the material mismatch parameter, β, and coefficient of friction, f, the results do not differ significantly from the elastically similar problem.

Subsurface and Surface Cracking Due to Hertzian Contact

1982 ◽  
Vol 104 (3) ◽  
pp. 347-351 ◽  
Author(s):  
L. M. Keer ◽  
M. D. Bryant ◽  
G. K. Haritos
Keyword(s):  
Crack Propagation ◽  
Half Space ◽  
Elastic Half Space ◽  
Contact Stresses ◽  
Numerical Results ◽  
Hertzian Contact ◽  
Vertical Crack ◽  
Subsurface Crack ◽  
Surface Cracking ◽  
Crack Geometry

Numerical results are presented for a cracked elastic half-space surface-loaded by Hertzian contact stresses. A horizontal subsurface crack and a surface breaking vertical crack are contained within the half-space. An attempt to correlate crack geometry to fracture is made and possible mechanisms for crack propagation are introduced.

Contact Stress Analysis of a Layered Transversely Isotropic Half-Space

1992 ◽  
Vol 114 (2) ◽  
pp. 253-261 ◽  
Author(s):  
C. H. Kuo ◽  
L. M. Keer
Keyword(s):  
Half Space ◽  
Mixed Boundary ◽  
Contact Region ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Hankel Transform ◽  
Elastic Half Space ◽  
Contact Stresses ◽  
Stress Components ◽  
Contact Failure

The three-dimensional problem of contact between a spherical indenter and a multi-layered structure bonded to an elastic half-space is investigated. The layers and half-space are assumed to be composed of transversely isotropic materials. By the use of Hankel transforms, the mixed boundary value problem is reduced to an integral equation, which is solved numerically to determine the contact stresses and contact region. The interior displacement and stress fields in both the layer and half-space can be calculated from the inverse Hankel transform used with the solved contact stresses prescribed over the contact region. The stress components, which may be related to the contact failure of coatings, are discussed for various coating thicknesses.

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