Contact Mechanics in Tribology

Goriacheva, I.G.

doi:10.1007/978-94-015-9048-8

Cited by 243 publications

(202 citation statements)

References 68 publications

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“…4(b) are computed according to the method presenting at Ref. [22]. It is shown that the numerical results are in good agreement with the theoretical results.…”

Section: Numerical Methods For Solving the Contact Pressuresupporting

confidence: 56%

Numerical analysis of time-varying wear with elastic deformation in line contact

Zhan

Huang

2018

Friction

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Abstract:Wear is an important factor for failures of mechanical components. Current research on wear is mainly focused on experiments while the numerical simulation of wear is hardly used owing to the complexities of the wear process. Explaining the effect of friction on the wear process is important, as it will lead to a deeper understanding of the evolution of wear. This study proposed a numerical method to expound the wear process in the contact between an elastic cylinder and a half-space simulating the ring-block tester. There are two difficulties during the calculation; one is that the contact shapes vary with time, causing the pressure distribution to change simultaneously and the other is the integral equation for calculating the contact pressure under different worn shapes. In the present study, the wear rate was computed using Archard's law and the wear process was calculated step by step until the specified total sliding distance was achieved. During each step of the calculation, the contact topography was updated. The simulation intuitively reproduced the contact state of change from line to surface contact throughout the wear process. Reasonable agreements on the changes of the wear scar, achieved from experiments and numerical simulations, were obtained.

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“…4(b) are computed according to the method presenting at Ref. [22]. It is shown that the numerical results are in good agreement with the theoretical results.…”

Section: Numerical Methods For Solving the Contact Pressuresupporting

confidence: 56%

Numerical analysis of time-varying wear with elastic deformation in line contact

Zhan

Huang

2018

Friction

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“…Governing equations for the compliant layer The compliant layer is described by the Maxwell-Thomson model (Goryacheva 1998) which allows the inclusion of linear viscoelastic effects. The constitutive equations linking the strain, ǫ 0 ij ,a n dt h es tress, σ 0 ij ,t a k et he form…”

Section: Boundary Conditionsmentioning

confidence: 99%

A model for deformable roll coating with negative gaps and incompressible compliant layers

et al. 2003

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A soft elastohydrodynamic lubrication model is formulated for deformable roll coating involving two contra-rotating rolls, one rigid and the other covered with a compliant layer. Included is a finite-strip model (FSM) for the deformation of the layer and a lubrication model with suitable boundary conditions for the motion of the fluid. The scope of the analysis is restricted to Newtonian fluids, linear elasticity/viscoelasticity and equal roll speeds, with application to the industrially relevant highly loaded or ‘negative gap’ regime. Predictions are presented for coated film thickness, inter-roll thickness, meniscus location, pressure and layer deformation as the control parameters – load (gap), elasticity, layer thickness and capillary number, $\hbox{\it Ca}$ – are varied. There are four main results: Hookean spring models are shown to be unable to model effectively the deformation of a compliant layer when Poisson's ratio $\nu\rightarrow 0.5$. In particular, they fail to predict the swelling of the layer at the edge of the contact region which increases as $\nu\rightarrow 0.5$; they also fail to locate accurately the position of the meniscus, $X_M$, and to identify the presence, close to the meniscus, of a ‘nib’ (constriction in gap thickness) and associated magnification of the sub-ambient pressure loop.Scaling arguments suggest that layer thickness and elasticity may have similar effects on the field variables. It is shown that for positive gaps this is true, whereas for negative gaps they have similar effects on the pressure profile and flow rate yet quite different effects on layer swelling (deformation at the edge of the contact region) and different effects on $X_M$.For negative gaps and $\hbox{\it Ca}\,{\sim}\,O(1)$, the effect of varying either viscosity or speed and hence $\hbox{\it Ca}$ is to significantly alter both the coating thickness and $X_M$. This is contrary to the case of fixed-gap rigid roll coating.Comparison between theoretical predictions and experimental data shows quantitive agreement in the case of $X_M$ and qualitive agreement for flow rate. It is shown that this difference in the latter case may be due to viscoelastic effects in the compliant layer.

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“…Widespread use in tribology finds a discrete model of roughness, in which the asperities are presented as a set of bodies of regular geometric shapes, for which solutions of contact problems are available [1,2]. In this case, the asperity model in the form of a spherical segment is considered to be optimal.…”

Section: Introductionmentioning

confidence: 99%

The elastic-plastic contact of a single asperity of a rough surface

2017

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Abstract.A penetration of spherical asperity into the elastic-plastic hardening half-space is described. The elastic-plastic material properties correspond to Hollomon's power law. In this case the empirical Meyer law relating a spherical indentation load with an indentation diameter d is used. Initially, the Meyer law is not related to the mechanical characteristics of the test material. The study used the relations between the strain hardening exponent n and the Meyer law constant obtained by S.I. Bulychev. The effects relating to elastic punching and plastic displacement of material are taked into account. It is shown that there is no need to define Meyer law constants. Expressions relating the value of the relative load magnitude to the relative indenter penetration magnitude are presented. The scope of application of the proposed equations is defined. A comparison of the obtained results with the experimental data and published data of the finite element analysis is given.

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Contact Mechanics in Tribology

Cited by 243 publications

References 68 publications

Numerical analysis of time-varying wear with elastic deformation in line contact

Numerical analysis of time-varying wear with elastic deformation in line contact

A model for deformable roll coating with negative gaps and incompressible compliant layers

The elastic-plastic contact of a single asperity of a rough surface

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