Contact Stresses Between Elastic Cylinders: A Comprehensive Theoretical and Experimental Approach

1981 ◽  
Vol 103 (1) ◽  
pp. 40-45 ◽  
Author(s):  
M. J. Hartnett ◽  
J. W. Kannel
Keyword(s):  
Experimental Approach ◽  
Three Dimensional ◽  
Contact Stresses ◽  
Linear Elastic ◽  
Theoretical Predictions ◽  
Elastic Cylinders ◽  
Force Displacement ◽  
Contact Pressures ◽  
Two Bodies ◽  
Theory And Experiments

The purpose of the paper has been to present a comparison of theoretical predictions and experimental data for contact stresses between two bodies lubricated in contact. The theoretical analysis is based on a three-dimensional linear elastic solution to the problem and combines Boussinesq force-displacement relationships for a half-space with a modified flexibility method. The experimental approach involves the direct measurement of contact pressures between profiled rollers using a thin-film pressure transducer. Pressure measurements and predictions were made for three roller designs under various conditions of loads and misalignments. The agreement between theory and experiments is very good.

scholarly journals Study of Reticulated Vitreous Carbon Foam as a Quasi-Brittle Material

2015 ◽  
Vol 665 ◽  
pp. 229-232 ◽  
Author(s):  
P.J. Heard ◽  
Peter E.J. Flewitt
Keyword(s):  
Brittle Material ◽  
Cell Structure ◽  
Three Dimensional ◽  
Carbon Foam ◽  
Vitreous Carbon ◽  
Elastic Behaviour ◽  
Reticulated Vitreous Carbon ◽  
Linear Elastic ◽  
Linear Elastic Behaviour ◽  
Force Displacement

Quasi-brittle materials are those where the addition of specific microstructural features such as porosity can lead to departure from linear elastic behaviour prior to maximum force, followed by graceful failure. A simple example of a quasi-brittle material is reticulated vitreous carbon foam; an open-cell structure consisting of brittle ligaments connected in a three-dimensional array. Tensile testing measurements have been made on foams with various pore and ligament dimensions; force - displacement combined with acoustic monitoring together with the evaluation of the associated elastic moduli and fracture strengths. These tests give insights into the mechanisms of quasi-brittle failure, and the results are explored using simple considerations of elastic energy storage throughout process zones.

The Analysis of Contact Stresses in Rolling Element Bearings

1979 ◽  
Vol 101 (1) ◽  
pp. 105-109 ◽  
Author(s):  
M. J. Hartnett
Keyword(s):  
Three Dimensional ◽  
Contact Problems ◽  
Rolling Element Bearing ◽  
Rolling Element Bearings ◽  
Algebraic Equations ◽  
Linear Elastic ◽  
Linear Algebraic Equations ◽  
Rolling Element ◽  
Contact Symmetry ◽  
Force Displacement

A numerical solution is presented which can be used to analyze the complete range of frictionless contact problems found in rolling element bearings. A three dimensional, linear elastic solution to the problem is developed by combining the Boussinesq force-displacement relationships for a half-space with a modified flexibility method. In this manner a stable system of linear algebraic equations in terms of the unknown surface pressures is formed, with no restrictions placed upon either contact symmetry or material connectivity. Several numerical examples of common but hitherto unsolved contact problems prevalent in rolling element bearing applications are also presented.

scholarly journals Three-dimensional contact stresses of a slick solid rubber tyre on a rigid surface

2021 ◽  
Vol 63 (3) ◽  
pp. 1-12
Author(s):  
M De Beer ◽  
Y Van Rensburg ◽  
J W Maina
Keyword(s):  
Asphalt Concrete ◽  
Three Dimensional ◽  
Contact Stresses ◽  
Full Scale ◽  
Portland Cement Concrete ◽  
Contact Patch ◽  
Linear Elastic ◽  
Concrete Base ◽  
Mass Load ◽  
Contact Shape

The main aim of this paper is to quantify the three-dimensional contact stresses imposed by a single slow-moving (or rolling) slick solid rubber tyre on a relatively rough contact surface, such as stiff asphalt concrete or airport concrete surfacing layers. The results indicated the tyre-contact patch of a slick solid rubber tyre to be of rectangular shape for a vertical tyre loading range between 20 kN and 100 kN. The rectangular tyre contact shape was confirmed with static paper prints, as well as an electronically measured contact patch with the stress-in-motion pad device. The study included load calibration using a mass load scale, and a stress-in-motion device. These were used with an existing full-scale accelerated pavement test device, referred to as the heavy vehicle simulator. In addition, simplistic multi-layer linear elastic modelling was used to quantify differences between stress and strain responses of two types of two relatively 'stiff' based pavements, such as an asphalt concrete base and Portland cement concrete base, on similar subbase and subgrade layers. Notable differences were obtained, which could potentially influence further detailed studies on the performance of full-scale slick solid rubber tyres on typical multi-layered pavements.

Three-Dimensional Analysis of Axisymmetric Transient Waves in Hollow Elastic Cylinders

1984 ◽  
Vol 51 (4) ◽  
pp. 792-797 ◽  
Author(s):  
P.-A. Sva¨rdh
Keyword(s):  
Integral Transform ◽  
Three Dimensional ◽  
Step Function ◽  
Necessary Condition ◽  
Asymptotic Result ◽  
Axially Symmetric ◽  
Transient Waves ◽  
Linear Elastic ◽  
Elastic Cylinders ◽  
Integral Transform Technique

The axially symmetric problem of a semi-infinite, hollow, linear-elastic circular cylinder with traction-free lateral surfaces initially at rest and subjected to transient end loadings is solved using three-dimensional theory. Two cases are treated: an axial pressure applied to a radially clamped end and a prescribed axial velocity applied to an end that is free from shear stress. A double integral transform technique is used, and asymptotic solutions valid at large distances from the end are given for two types of time variation of the end loadings: step function and finite rise time function. A necessary condition for the validity of the asymptotic result is given.

Thermomechanical Coupling of a Hyper-viscoelastic Truck Tire and a Pavement Layer and its Impact on Three-dimensional Contact Stresses

2021 ◽  
pp. 036119812110171
Author(s):  
Angeli Jayme ◽  
Imad L. Al-Qadi
Keyword(s):  
Contact Stress ◽  
Contact Area ◽  
Three Dimensional ◽  
Interaction Model ◽  
Rolling Resistance ◽  
Contact Stresses ◽  
Thermomechanical Coupling ◽  
Temperature Profiles ◽  
Near Surface ◽  
Truck Tire

A thermomechanical coupling between a hyper-viscoelastic tire and a representative pavement layer was conducted to assess the effect of various temperature profiles on the mechanical behavior of a rolling truck tire. The two deformable bodies, namely the tire and pavement layer, were subjected to steady-state-uniform and non-uniform temperature profiles to identify the significance of considering temperature as a variable in contact-stress prediction. A myriad of ambient, internal air, and pavement-surface conditions were simulated, along with combinations of applied tire load, tire-inflation pressure, and traveling speed. Analogous to winter, the low temperature profiles induced a smaller tire-pavement contact area that resulted in stress localization. On the other hand, under high temperature conditions during the summer, higher tire deformation resulted in lower contact-stress magnitudes owing to an increase in the tire-pavement contact area. In both conditions, vertical and longitudinal contact stresses are impacted, while transverse contact stresses are relatively less affected. This behavior, however, may change under a non-free-rolling condition, such as braking, accelerating, and cornering. By incorporating temperature into the tire-pavement interaction model, changes in the magnitude and distribution of the three-dimensional contact stresses were manifested. This would have a direct implication on the rolling resistance and near-surface behavior of flexible pavements.

A Novel Experimental Approach for Three-Dimensional Geometry Assessment of Calcified Human Stenotic Arteries in Vitro

2013 ◽  
Vol 39 (10) ◽  
pp. 1875-1886 ◽  
Author(s):  
Renate W. Boekhoven ◽  
Richard G.P. Lopata ◽  
Marc R. van Sambeek ◽  
Frans N. van de Vosse ◽  
Marcel C.M. Rutten
Keyword(s):  
Experimental Approach ◽  
Three Dimensional ◽  
Stenotic Arteries

Performance Based Evaluation of Bridge Substructure in North Mississippi Using Nonlinear FEM and Field Vibration Measurement

2000 ◽  
Author(s):  
Chris L. Mullen ◽  
Prabin R. Tuladhar
Keyword(s):  
Finite Element ◽  
Transfer Functions ◽  
Response Spectrum ◽  
Three Dimensional ◽  
Vibration Measurement ◽  
Elastic Behavior ◽  
Evaluation Procedure ◽  
Vibration Measurements ◽  
Linear Elastic ◽  
Performance Based Evaluation

Abstract Discussion of a Performance - Based Engineering evaluation procedure for an existing interstate highway bridge in north Mississippi. The bridge is in a highly trafficked location near the Memphis Metropolitan area and is reflective of modern design practices in Mississippi. Results are presented of nonlinear damage response and displacement ductility performance of the reinforced concrete bents and their foundations predicted using static finite element (FE) computations. The model considers the composite action of the concrete and the reinforcing steel materials under axial force, shear, torsion and flexure. The performance-based evaluation includes three-dimensional computational simulations of the nonlinear bridge system, including substructures and superstructure. The response spectrum dynamic analysis method will also be carried out on the linear elastic three-dimensional model to predict the linear elastic behavior. Field vibration measurements, including ambient and hammer-impact, were performed to calibrate the models. The computed transfer functions are currently being evaluated to correlate vibration measurements and the Finite element models.

Sign in / Sign up

Export Citation Format

Share Document