Finite Element Analysis of Thermoelastic Contact Stability

Yeo, Taein; Barber, J. R.

doi:10.1115/1.2901578

Cited by 16 publications

(8 citation statements)

References 19 publications

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“…This can cause instability and erratic behaviour in heat International Journal of Solids and Structures 40 (2003) [5583][5584][5585][5586][5587][5588][5589][5590][5591][5592][5593][5594][5595][5596][5597] www.elsevier.com/locate/ijsolstr exchanger systems involving contacting interfaces (Srinivasan and France, 1985). Instability occurs when the temperature difference or the heat flux between the contacting bodies exceeds a certain critical value (Yeo and Barber, 1994). The most common form of instability is associated with heat flow into the more distortive material, where the distortivity…”

Section: Introductionmentioning

confidence: 99%

Interaction of thermal contact resistance and frictional heating in thermoelastic instability

Ciavarella

Johansson

Afferrante

et al. 2003

International Journal of Solids and Structures

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Thermoelastic contact problems can posess non-unique and/or unstable steady-state solutions if there is frictional heating or if there is a pressure-dependent thermal contact resistance at the interface. These two effects have been extensively studied in isolation, but their possible interaction has never been investigated. In this paper, we consider an idealized problem in which a thermoelastic rod slides against a rigid plane with both frictional heating and a contact resistance. For sufficiently low sliding speeds, the results are qualitatively similar to those with no sliding. In particular, there is always an odd number of steady-state solutions; if the steady-state is unique it is stable and if it is non-unique, stable and unstable solutions alternate, with the outlying solutions being stable. However, we identify a sliding speed V 0 above which the number of steady states is always even (including zero, implying possible non-existence of a steadystate) and again stable and unstable states alternate. A parallel numerical study shows that for V > V 0 there are some initial conditions from which the contact pressure grows without limit in time, whereas for V < V 0 the system will always tend to one of the stable steady states.

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Section: Introductionmentioning

confidence: 99%

Interaction of thermal contact resistance and frictional heating in thermoelastic instability

Ciavarella

Johansson

Afferrante

et al. 2003

International Journal of Solids and Structures

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show abstract

“…Instead, we consider the conditions under which a small perturbation in the temperature field can grow exponentially in time, i.e., (6) As long as contact is retained throughout fe' the perturbed problem remains linear and superposition applies. In particular, the perturbation must satisfy the heat conduction and thermoelastic equations.…”

Section: The Transient Problemmentioning

confidence: 99%

“…For a solution of the form (6) with zero growth rate b, the perturbation in the temperature field 0 must satisfy the steady-state heat conduction equations with the boundary conditions (10) in F,…”

Section: Finite Element Formulation the Heat Conduction Problemmentioning

confidence: 99%

“…However, it is equally applicable to transient processes as long as the contact area does not change with time, since in that case the homogeneous perturbation problem has the same boundary conditions as it would have for a steady process. This is not the case for the static thermoelastic contact problem of Yeo and Barber [6], where changes in contact pressure affect stability through the local gradient of contact resistance. 187 We consider the plane strain system shown in Figure 1, in which an elastic body 0,1 slides at constant speed V in the z-direction (normal to the plane of the figure) against a second elastic body 0,2' The boundary of o' y is denoted by T, ("Y = 1,2) and the (plane) contact surface by f e • Tractions are applied in the region T, U f 2 -f e such as to ensure contact over the entire region fe' i.e.,…”

mentioning

confidence: 94%

“…This approach was first suggested by Yeo [6], who developed it in the context of the related static contact problem, where instability results from the pressure dependence of an interfacial contact resistance.…”

mentioning

confidence: 98%

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