Infinitesimal and large strain in rolling contact problems

Rońda, J.; Bogacz, R.; Brzozowski, M.

doi:10.1007/bf00542476

Cited by 3 publications

(3 citation statements)

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“…contact pressure and the sliding velocity. The elastic rolling contact problem was considered by many authors [3,4,9,13,14,15,16,19,26]. Among others, one of the first rolling contact problem model was described in [9] where the contact zone and the norma!…”

Section: Introductionmentioning

confidence: 99%

“…This model was developed and employed to calculate numerical solution of the wheel-rail wear problem in [3]. In [19] this contact problem was described by hyperbolic variational inequality and solved numerically using incrementa! finite element method.…”

Section: Introductionmentioning

confidence: 99%

“…finite element method. The numerical algorithm proposed in [19] is very generał and very slow convergent. The effects of heat generation and heat transfer involving contact has been analysed in literature for many years (see [l, 6, 7, 12, 21, 23, 25, 26]).…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic Wheel - Rail Contact Problem with Temperature Dependent Friction Coefficient

Chudzikiewicz

Myśliński

III European Conference on Computational Mechanics

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The paper deals with the numerical solution of wheel-raił rolling contact problems with the temperature field and wear as additional components. We shall consider the contact of a wheel with an elastic raił resting on a rigid foundation. It is assumed that the friction between the bodies is described by the Coulomb law. Moreover we assume a frictional heat generation and heat transfer across the contact sur face as well as Archard 's law of wear in contact zone. The friction forces and the heat flux depend on the friction coeflicient. This coeflicient is assumed to depend on temperature. In the paper quasistatic approach to solve this contact problem is employed. This approach is based on an assumption that for the observer moving with the rolling body the displacement of the supporting foundation is independent on time. The system is described by the elliptic variational inequality governing the displacement and the parabolic equation governing the heat flow. In order to solve numerically this system we will decouple it into mechanical and thermal parts. Finite element method is used as a discretization method. Using duality theory and the regularized relation between tangent and norma! components of the contact stress we formulate the mechanical part of this problem as an optimization problem with respect to the norma! contact stress. Pschenichnyj method combined with Newton method are used to solve numerically th.is discretized optimization problem. Next for calculated displacement field the thermal part of the system is solved using Newton method. Numerical examples showing the influence of the temperature dependent friction coefficient on the contact !ocal traction and the length of the contact zone are provided.

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