The Strength of Some Non-Hertzian Plane Contacts

1986 ◽  
Vol 108 (4) ◽  
pp. 655-658 ◽  
Author(s):  
A. Sackfield ◽  
D. A. Hills
Keyword(s):  
Stress Field ◽  
Half Plane ◽  
Chebyshev Polynomials ◽  
Sliding Contact ◽  
Elastic Contact ◽  
Contact Conditions ◽  
Large Load ◽  
Practical Implications

The problem of plane elastic contact between a symmetrical indentor and a half-plane is addressed. The form of the contacting profile of the indentor is represented in terms of Chebyshev polynomials, and the resulting stress-field is deduced, for both static and sliding contact. It is shown that by making the profile somewhat flatter than a cylinder a large load may be sustained without yielding. Practical implications of the result, including profiles needed to attain optimal contact conditions, are discussed.

Cracking of a Graded Half Plane Due to Sliding Contact

2001 ◽  
Author(s):  
Frazil Erdogan ◽  
Serkan Dag
Keyword(s):  
Half Plane ◽  
Sliding Contact

Analysis of the Elastic Contact of a Hollow Ball With a Flat Plate

1970 ◽  
Vol 92 (1) ◽  
pp. 138-142 ◽  
Author(s):  
J. H. Rumbarger ◽  
R. C. Herrick ◽  
P. R. Eklund
Keyword(s):  
Shear Stress ◽  
Stress Field ◽  
Flat Plate ◽  
Normal Load ◽  
Thick Wall ◽  
Elastic Contact ◽  
Solid Ball ◽  
Ball Contact ◽  
Contact Life ◽  
Hollow Ball

This paper presents the analysis of the stress field in a hollow sphere in the vicinity of the contact area. The sphere is subjected to a normal load applied through a flat plate. The elastic contact shape and extent are developed for a load of 1000 lb applied to a 1-in-dia hollow ball with a 0.08-in-thick wall. Hollow ball shell bending stresses have a significant effect upon the subsurface stress field. Fatigue life estimates for the hollow ball vary significantly depending upon the selection of decisive stress amplitude. Comparison of the maximum value and location of the reversing orthogonal subsurface shear stress with solid ball data according to the Lundberg-Palmgren dynamic life theory predicts a 91.6 percent life reduction for the hollow ball contact. The use of the unidirectional subsurface shear stress results in a prediction of hollow ball contact life over 30 times the solid ball contact life.

Two-Dimensional Contact Analysis Using Trigonometric Polynomials: Some Early Verification Problems

2018 ◽  
Author(s):  
Gaurav Chauda ◽  
Daniel J. Segalman
Keyword(s):  
Half Plane ◽  
Frictional Contact ◽  
Contact Analysis ◽  
Trigonometric Polynomials ◽  
Elastic Contact ◽  
Two Dimensional ◽  
Contact Algorithm ◽  
Numerical Predictions ◽  
Interface Mechanics ◽  
Friction Models

A discretization strategy for elastic contact on a half plane has been devised to explore the significance of different friction models on joint-like interface mechanics. It is necessary to verify that discretization and accompanying contact algorithm on known solutions. An extensive comparison of numerical predictions of this model with corresponding 2-D elastic, frictional contact solutions from the literature is presented.

Asymptotic analysis of the corner-behaviour of a rigid punch bonded to an elastic substrate

2007 ◽  
Vol 42 (5) ◽  
pp. 415-422
Author(s):  
L Bohórquez ◽  
D. A Hills
Keyword(s):  
Stress Field ◽  
Plastic Zone ◽  
Asymptotic Solution ◽  
Asymptotic Analysis ◽  
Half Plane ◽  
Poisson's Ratio ◽  
Rigid Block ◽  
Rigid Punch ◽  
Oscillatory Behaviour ◽  
Elastic Substrate

The contact between a flat-faced rigid block and an elastic half-plane has been studied, showing that an asymptotic solution correctly captures the stress field adjacent to the contact corners for all values of Poisson's ratio. It is shown that, in practical cases, the plastic zone, which is inevitably present at the contact corners, envelopes the oscillatory behaviour implied locally but is surrounded by an elastic hinterland correctly represented by the asymptote.

Viscoelastic Contact of a Half-Plane Sliding Over a Slightly Wavy Rigid Surface

2014 ◽  
Author(s):  
N. Menga ◽  
C. Putignano ◽  
T. Contursi ◽  
G. Carbone
Keyword(s):  
Contact Problem ◽  
Contact Area ◽  
Analytical Procedure ◽  
Sliding Contact ◽  
Rigid Surface ◽  
Viscoelastic System ◽  
Contact Conditions ◽  
Partial Contact ◽  
Full Contact ◽  
Viscoelastic Contact

In this paper, the sliding contact of a rigid sinusoid over a viscoelastic halfplane is studied by means of an analytical procedure that reduced the original viscoelastic system to an elastic equivalent one, which has been already solved in [1]. In such a way, the solution of the original viscoelastic contact problem requires just to numerically solve a set of two integral equations. Results show the viscoelasticity influence on the solution by means of a detailed analysis of contact area, pressure and displacement distribution. A particular attention is paid to the transition from full contact to partial contact conditions.

610 Effects of Slip Ratio and Roller Combination on Durability of Thermally Sprayed wc Cerment Coating under Dry Rolling/Sliding Contact Conditions

2012 ◽  
Vol 2012.65 (0) ◽  
pp. 211-212
Author(s):  
Toshifumi MAWATARI ◽  
Yusuke ARAKI ◽  
Ryosuke INOKUCHI ◽  
Bo ZHANG ◽  
Akira NAKAJIMA ◽  
...  
Keyword(s):  
Sliding Contact ◽  
Contact Conditions ◽  
Slip Ratio ◽  
Thermally Sprayed

A Diffraction Problem and Crack Propagation

1967 ◽  
Vol 34 (1) ◽  
pp. 100-103 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Crack Propagation ◽  
Elastic Medium ◽  
Half Plane ◽  
Diffraction Problem ◽  
Shear Waves ◽  
Stress Waves ◽  
Plane Crack ◽  
Antiplane Strain

The exact solution to the problem of diffraction of plane harmonic polarized shear waves by a half-plane crack extending under antiplane strain is constructed. The solution is employed to study the nature of the stress field associated with an extending crack in an elastic medium excited by stress waves.

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