The Rolling Contact Problem

Kalker, J. J.

doi:10.1007/978-94-015-7889-9_1

Cited by 85 publications

(137 citation statements)

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“…Similar but higher order theories exist for the normal pressures (see, e.g. [20]). Combining these models with friction leads to theoretical and computational challenges [19, 20, 25].…”

Section: Overview Of More Complex Contact Modelsmentioning

confidence: 65%

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Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction

Antali

Stépàn

2019

Nonlinear Dyn

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In this paper, the nonsmooth dynamics of two contacting rigid bodies is analysed in the presence of dry friction. In three dimensions, slipping can occur in continuously many directions. Then, the Coulomb friction model leads to a system of differential equations, which has a codimension-2 discontinuity set in the phase space. The new theory of extended Filippov systems is applied to analyse the dynamics of a rigid body moving on a fixed rigid plane to explore the possible transitions between the slipping and rolling behaviour. The paper focuses on finding the so-called limit directions of the slipping equations at the discontinuity. This leads to a complete qualitative description of the possible scenarios of the dynamics in the vicinity of the discontinuity. It is shown that the new approach consistently extends the information provided from the static friction force of the rolling behaviour. The methods are demonstrated on an application example.

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“…Similar but higher order theories exist for the normal pressures (see, e.g. [20]). Combining these models with friction leads to theoretical and computational challenges [19, 20, 25].…”

Section: Overview Of More Complex Contact Modelsmentioning

confidence: 65%

“…[20]). Combining these models with friction leads to theoretical and computational challenges [19, 20, 25]. For the purpose of dynamical applications, analytical and semi-analytical models of the contact forces can be derived from these theories.…”

Section: Overview Of More Complex Contact Modelsmentioning

confidence: 99%

Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction

Antali

Stépàn

2019

Nonlinear Dyn

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“…For instance, Zhao and Li 19 developed an explicit FE model to study the behavior of W/R frictional rolling contact. The results of verification against CONTACT 3,5 showed that the FE model presented was promising enough to be used in the future work. As a further application of that model presented in Zhao and Li, 19 Zhao et al.…”

Section: Introductionmentioning

confidence: 89%

Effect of wheel–rail interface parameters on contact stability in explicit finite element analysis

Markine

Mashal

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part F:

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It is widely recognized that the accuracy of explicit finite element simulations is sensitive to the choice of interface parameters (i.e. contact stiffness/damping, mesh generation, etc.) and time step sizes. Yet, the effect of these interface parameters on the explicit finite element based solutions of wheel-rail interaction has not been discussed sufficiently in literature. In this paper, the relation between interface parameters and the accuracy of contact solutions is studied. It shows that the wrong choice of these parameters, such as too high/low contact stiffness, coarse mesh, or wrong combination of them, can negatively affect the solution of wheel-rail interactions which manifest in the amplification of contact forces and/or inaccurate contact responses (here called ''contact instability''). The phenomena of ''contact (in)stabilities'' are studied using an explicit finite element model of a wheel rolling over a rail. The accuracy of contact solutions is assessed by analyzing the area of contact patches and the distribution of normal pressure. Also, the guidelines for selections of optimum interface parameters, which guarantee the contact stability and therefore provide an accurate solution, are proposed. The effectiveness of the selected interface parameters is demonstrated through a series of simulations. The results of these simulations are presented and discussed.

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“…An inverse fast Fourier transform (FFT) algorithm is used to obtain the space domain functions. The unilateral contact problem with friction is then solved following Kalker’s algorithm 15 . The contact area, the contact pressure distribution and the internal stresses in the sterilized and unsterilized UHMWPE components are then determined.…”

Section: Theoretical Modelmentioning

confidence: 99%

A 3D multilayered model to simulate sterilized knee prostheses under walking conditions: analysis of gamma irradiation effects in UHWMPE

Plumet

Baietto

2000

Fatigue Fract Eng Mat Struct

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Ultra High Molecular Weight PolyEthylene (UHMWPE) is the polymer bearing material most commonly used for the design of the tibial insert in total knee joint replacement (TKJR). Sterilization by gamma irradiation in air causes oxidative changes in the polymer component that leads to mechanical property variations through its thickness. This may be one of the causes of the component failure. A general three‐dimensional elastic contact model has been therefore developed to predict both the contact stresses and the resulting internal stresses accounting for the plastic component finite thickness and its multilayered structure (constitutive layers of different thickness and mechanical properties) resulting from oxidation. Predictions of the maximum contact pressure and internal stresses have demonstrated that sterilization induces higher contact pressure, stress discontinuities at layer interfaces, possible bending effects and delamination risks.

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The Rolling Contact Problem

Cited by 85 publications

References 0 publications

Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction

Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction

Effect of wheel–rail interface parameters on contact stability in explicit finite element analysis

A 3D multilayered model to simulate sterilized knee prostheses under walking conditions: analysis of gamma irradiation effects in UHWMPE

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