Rolling contact with slip on a thermoelastic half-space: comparison with perfect rolling contact

The present paper, describes a transient translating elasto-plastic thermo-mechanical finite element model to study 2-D frictional rolling contact. Frictional two-dimensional contact is simulated by repeatedly translating a non-uniform thermo-mechanical distribution across the surface of an elasto-plastic half space. The half space is represented by a two dimensional finite element mesh with appropriate boundaries. Calculations are for an elastic-perfectly plastic material and the selected thermo-physical properties are assumed to be temperature independent. The paper presents temperature variations, stress and plastic strain distributions and deformations. Residual tensile stresses are observed. The magnitude and depth of these stresses depends on 1) the temperature gradients and 2) the magnitudes of the normal and tangential tractions.

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THREE-DIMENSIONAL SURFACE CRACK ANALYSIS OF ELASTIC HALF-SPACE UNDER ROLLING CONTACT LOAD

International Journal of Computational Methods ◽

10.1142/s021987620900184x ◽

2009 ◽

Vol 06 (02) ◽

pp. 317-332 ◽

Cited By ~ 2

Author(s):

MENG-CHENG CHEN ◽

HUI-QIN YU

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Half Space ◽

Three Dimensional ◽

Elastic Half Space ◽

Rolling Contact ◽

Contact Load ◽

Hypersingular Integral ◽

Space Body ◽

Planar Crack

In this work a three-dimensional planar crack on the surface of elastic half-space was analyzed under rolling contact load. The stresses interior to an elastic half-space body under rolling contact load and those produced by an infinitesimal displacement jump loop for the elastic half-space body were used to reduce the planar crack problem to the solution of a system of two-dimensional hypersingular integral equations with unknown displacement jump. The ideas of finite element discretization were employed to construct numerical solution schemes for solving the integral equations. An appropriate treatment of the associated hypersingular integral in the numerical solution to the integral equations was proposed in Hadamard's finite-part integral sense. The numerical results showed that the present procedure yields solutions with high accuracies. The stress intensity factors near the crack front edge under rolling contact load were indicated in graphical form with varying the crack shape, the radius of rolling contact zone and the friction coefficients, respectively. In addition, the influence of the lubricant infiltrating the crack surfaces on the crack propagation was also discussed in the paper.

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Influence of Internal Stresses on the Stressing of Material in Components Subjected to Rolling-Contact Loads

Journal of Tribology ◽

10.1115/1.3260971 ◽

1984 ◽

Vol 106 (4) ◽

pp. 499-504 ◽

Cited By ~ 2

Author(s):

E. Broszeit ◽

J. Adelmann ◽

O. Zwirlein

Keyword(s):

Half Space ◽

Stress Level ◽

Maximum Stress ◽

Equivalent Stress ◽

Local Stress ◽

Rolling Contact ◽

Internal Stresses ◽

Contact Loads ◽

Distortion Energy ◽

Von Mises

The stressing of a material in concentrated contacts can be calculated using f.e. the equivalent stress hypothesis by Huber, von Mises, Hencky (distortion energy hypothesis). The stress level can be directly related to the local yield properties of the material. For the calculation of the equivalent stress the influence of friction and internal stresses in the material have to be taken into account. The local stress level in the half space strongly depends on friction and internal stresses. It will be demonstrated, that it is necessary to have a look at a greater part of the full half space to find the maximum stress level.

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Rolling contact on a viscoelastic multi-layered half-space

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2021.111388 ◽

2022 ◽

pp. 111388

Author(s):

Efoe Rodrigue Wallace ◽

Thibaut Chaise ◽

Daniel Nelias

Keyword(s):

Half Space ◽

Rolling Contact ◽

Layered Half Space

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Modeling of Surface Modified Layers in the Presence of Surface Irregularities

Journal of Tribology ◽

10.1115/1.2831604 ◽

1996 ◽

Vol 118 (4) ◽

pp. 753-758 ◽

Cited By ~ 2

Author(s):

Vikas Gupta ◽

George T. Hahn ◽

Pedro Bastias ◽

Carol A. Rubin

Keyword(s):

Surface Modification ◽

Half Space ◽

Kinematic Hardening ◽

Bearing Steel ◽

Rolling Contact ◽

Body Model ◽

Altered Layer ◽

Surface Irregularities ◽

Modified Layer ◽

Surface Modified

Finite element calculations that examine the effects of surface modification on the deformation produced by pure rolling contact are presented. The model simulates the repeated, two-dimensional (line) contact of a cylinder that is rolling over a semi-infinite half space. The half space is treated as an elastic-linear-kinematic-hardening-plastic (ELKP) material with the cyclic flow properties of a hardened, HRC-62, bearing steel. Two different cases are examined: (i) a smooth half space is studied using a one-body model, and (ii) a half space with a 100 μm wide and 7 μm deep surface asperity is studied using a two-body model. In both cases, calculations are performed for a homogeneous body and a body with a shallow, surface modified layer. The surface modified layer is alternately: (a) stiffer, (b) harder, (c) softer, and (d) harder and stiffer as compared to the substrate. Consistent with the earlier studies of surface modification (Bhargava, 1987), the present findings indicate that the benefits of the mechanical property modifications are confined to the altered layer itself. This may explain the improvement in performance realized by relatively thin modified layers (≈5 μm).

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Elasto-Plastic Finite Element Analysis of Repeated Three-Dimensional, Elliptical Rolling Contact With Rail Wheel Properties

Journal of Tribology ◽

10.1115/1.2920643 ◽

1991 ◽

Vol 113 (3) ◽

pp. 434-441 ◽

Cited By ~ 17

Author(s):

S. M. Kulkarni ◽

G. T. Hahn ◽

C. A. Rubin ◽

V. Bhargava

Keyword(s):

Finite Element ◽

Plastic Strain ◽

Half Space ◽

Kinematic Hardening ◽

Rolling Direction ◽

Three Dimensional ◽

Rolling Contact ◽

Cyclic Plasticity ◽

Wheel Load ◽

Stress Strain

This paper presents an elasto-plastic analysis of the repeated, frictionless, three-dimensional rolling contact similar to the ones produced by the rail-wheel geometry. This paper treats an elliptical contact rolling across a semi-infinite half space. The contact shape and loading: semi-major axis (in the rolling direction), w1 = 8 mm, and semi-minor axis, w2 = 5.88 mm, reflect standard rail and wheel curvatures and a wheel load of 149 KN (33,000 lb). A three-dimensional, elasto-plastic finite element model, developed earlier, is employed together with the elastic-linear-kinematic-hardening-plastic (ELKP) idealization of the cyclic plastic behaviour of a material similar to rail and wheel steels. The calculations present the displacements, the stress-strain distributions, stress-plastic strain histories and the plastic strain ranges in the half-space. The cyclic plasticity approaches a steady state after one contact with further contacts producing open but fully reversed stress-strain hysteresis loops, i.e., plastic shakedown.

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Rolling contact of a rigid sphere/sliding of a spherical indenter upon a viscoelastic half-space containing an ellipsoidal inhomogeneity

Journal of the Mechanics and Physics of Solids ◽

10.1016/j.jmps.2015.04.001 ◽

2015 ◽

Vol 80 ◽

pp. 1-25 ◽

Cited By ~ 28

Author(s):

Koffi Espoir Koumi ◽

Thibaut Chaise ◽

Daniel Nelias

Keyword(s):

Half Space ◽

Spherical Indenter ◽

Rolling Contact ◽

Rigid Sphere ◽

Ellipsoidal Inhomogeneity

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Elasto-Plastic Finite Element Analysis of Three-Dimensional Pure Rolling Contact Above the Shakedown Limit

Journal of Applied Mechanics ◽

10.1115/1.2897192 ◽

1991 ◽

Vol 58 (2) ◽

pp. 347-353 ◽

Cited By ~ 42

Author(s):

S. M. Kulkarni ◽

G. T. Hahn ◽

C. A. Rubin ◽

V. Bhargava

Keyword(s):

Finite Element ◽

Half Space ◽

Kinematic Hardening ◽

Three Dimensional ◽

Bearing Steel ◽

Complex Stress State ◽

Rolling Contact ◽

Stress Strain ◽

Element Analysis ◽

Shakedown Limit

This paper describes calculations for repeated, frictionless, three-dimensional rolling contact, for a relative peak pressure (po/k) of 6.0 (above the shakedown limit) for a circular contact patch. This analysis was carried out for two material responses, elastic-perfectly plastic (EPP) and elastic-linear-kinematic-hardening plastic (ELKP), using the elasto-plastic finite element model developed earlier. The ELKP material parameters are those appropriate for hardened bearing steel. Frictionless three-dimensional rolling contact is simulated by repeatedly translating a Hertzian pressure distribution across the surface of an elasto-plastic half space. The half space is represented by a finite mesh with elastic boundaries. The paper describes the complex stress state existing in the half space and the attending plasticity, as the load translates. The calculations present the distortion of the rim, the residual stress-strain distributions, stress-strain histories, and the cyclic plastic strain increments in the vicinity of the contact. Compared with the analyses at the shakedown limit, higher residual stresses and strains are observed.

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Three-Dimensional Repeated Elasto-Plastic Point Contacts, Rolling, and Sliding

Journal of Applied Mechanics ◽

10.1115/1.2755171 ◽

2008 ◽

Vol 75 (2) ◽

Cited By ~ 35

Author(s):

W. Wayne Chen ◽

Q. Jane Wang ◽

Fan Wang ◽

Leon M. Keer ◽

Jian Cao

Keyword(s):

Half Space ◽

Three Dimensional ◽

Indentation Test ◽

Rolling Contact ◽

Repeated Loading ◽

Rigid Sphere ◽

Point Contacts ◽

Volume Integral ◽

The Finite Element Method ◽

Shakedown Limit

Accumulative plastic deformation due to repeated loading is crucial to the lives of many mechanical components, such as gears, stamping dies, and rails in rail-wheel contacts. This paper presents a three-dimensional numerical model for simulating the repeated rolling or sliding contact of a rigid sphere over an elasto-plastic half-space. This model is a semi-analytical model based on the discrete convolution and fast Fourier transform algorithm. The half-space behaves either elastic-perfectly plastically or kinematic plastically. The analyses using this model result in histories of stress, strain, residual displacement, and plastic strain volume integral (PV) in the half-space. The model is examined through comparisons of the current results with those from the finite element method for a simple indentation test. The results of rolling contact obtained from four different hardening laws are presented when the load exceeds the theoretical shakedown limit. Shakedown and ratchetting behaviors are discussed in terms of the PV variation. The effect of friction coefficient on material responses to repeated sliding contacts is also investigated.

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Elastoplastic Finite Element Analysis of Three-Dimensional, Pure Rolling Contact at the Shakedown Limit

Journal of Applied Mechanics ◽

10.1115/1.2888324 ◽

1990 ◽

Vol 57 (1) ◽

pp. 57-65 ◽

Cited By ~ 32

Author(s):

S. M. Kulkarni ◽

G. T. Hahn ◽

C. A. Rubin ◽

V. Bhargava

Keyword(s):

Finite Element ◽

Half Space ◽

Kinematic Hardening ◽

Three Dimensional ◽

Element Model ◽

Rolling Contact ◽

Stress Strain ◽

Element Analysis ◽

Perfectly Plastic ◽

Shakedown Limit

This paper describes a three-dimensional elastoplastic finite element model of repeated, frictionless rolling contact. The model treats a sphere rolling on an elastic-perfectly plastic and an elastic-linear-kinematic-hardening plastic, semi-infinite half space. The calculations are for a relative peak pressure (po/k) = 4.68 (the theoretical shakedown limit for perfect plasticity). Three-dimensional rolling contact is simulated by repeatedly translating a hemispherical (Hertzian) pressure distribution across an elastoplastic semi-infinite half space. The semi-infinite half space is represented by a finite mesh with elastic boundaries. The calculations describe the distortion of the rim, the residual stress-strain distributions, stress-strain histories, and the cyclic plastic strain ranges in the vicinity of the contact.

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