Response of frictional receding contact problems to cyclic loading

Ahn, Young Ju; Barber, J. R.

doi:10.1016/j.ijmecsci.2008.08.003

Cited by 67 publications

(41 citation statements)

References 15 publications

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“…Figure 6 shows the resulting rectangular steady-state orbit (black dashed line) and the transient evolution from a position A relatively close to the steady state. This transient was determined using arguments similar to those used in connection with Figure 2, but the results were also confirmed using the numerical algorithm described by Ahn and Barber [1].…”

Section: Three Angles Of One Sign and One Of The Othersupporting

confidence: 54%

Attractors in Frictional Systems Subjected to Periodic Loads

Andersson¹,

Barber²,

Ahn³

2013

SIAM J. Appl. Math.

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Abstract. This paper explores the effect of initial conditions on the behavior of coupled frictional elastic systems subject to periodic loading. Previously, it has been conjectured that the long term response will be independent of initial conditions if all nodes slip at least once during each loading cycle. Here, this conjecture is disproved in the context of a simple two-node system. Counter examples are presented of "unstable" steady-state orbits that repel orbits starting from initial conditions that are sufficiently close to the steady state. The conditions guaranteeing stability of such steady states are shown to be more restrictive than those required for the rate problem to be uniquely solvable for arbitrary derivative of the external loading. In cases of instability, the transient orbit is eventually limited either by slip occurring at both nodes simultaneously, or by one node separating. In both cases a stable limit cycle is obtained. Depending on the slopes of the constraint lines, the limit cycle can involve two periods of the loading cycle, in which case it appears to be unique, or it may repeat every loading cycle, in which case distinct limit cycles are reached depending on the sign of the initial deviation from the steady state. In the case of instability an example is given of a loading for which a quasi-static evolution problem with multiple solutions exists, whereas all rate problems are uniquely solvable.

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Section: Three Angles Of One Sign and One Of The Othersupporting

confidence: 54%

Attractors in Frictional Systems Subjected to Periodic Loads

Andersson¹,

Barber²,

Ahn³

2013

SIAM J. Appl. Math.

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“…Numerical and Experimental Analysis of a Frictionless Receding B. Rončević, A. Bakić, J. Kodvanj Contact between a Cylindrical Indenter, Layer and Substrate numerous authors in the past in order to model the indentation of the layer in receding contacts -for that reason the conventional approach was to regard the extent of the contact area as independent of the level of loading, while the contact stresses were understood to linearly depend on load intensity [1,6,7,18]. In contrast to that, by increasing R/h in the case of a cylindrical indenter the model asymptotically approaches the case of a flat punch as the limit case (i.e.…”

Section: Influence Of Load Intensity and Indenter Radiusmentioning

confidence: 99%

“…The case of anisotropy was investigated in papers [15]- [17], with particular reference to the results in [16] and [17], where the layer was modelled as a functionally graded material (FGM). Ahn and Barber investigated the case of frictional contact [18] under cyclic loading, but they used a uniformly distributed pressure of constant width.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Analysis of a Frictionless Receding Contact between Cylindrical Indenter, Layer and Substrate

2016

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SummaryThis paper investigates the behaviour of a receding contact when a cylindrical indenter presses an unbonded layer resting on a substrate. The problem is analysed by using FEM within the scope of the linear theory of elasticity and under the assumption of plane strain. This paper presents new and original results in the analysis of influence of load intensity and indenter geometry on the contact parameters. In addition, in the investigation into material properties a reference analysis was carried out for the case of material similarity between all three bodies, and material properties were subsequently varied for each body. This class of problems shows nonlinear behaviour, with both contact pressure distributions and contact half-widths found to depend nonlinearly on the applied load. The experimental analysis was carried out by employing the digital image correlation method and the ARAMIS 4M system was used. The obtained measurement results show good agreement with the numerical results.

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“…Recently, a similar problem with the same geometry was solved by Ahn and Barber [40] to investigate the response of an elastic block pressed against a frictional rigid plane. They constructed an FE model consisting of 25,600 finite elements and 321 contact nodes to minimize the effect of mesh dependency on the results of FE analyses.…”

Section: An Elastic Block Pressed Against a Rigid Plane Surfacementioning

confidence: 99%