Temperature and division of heat in a pin-on-disc frictional device—Exact analytical solution

Laraqi, Najib; Alilat, Nacim; María, Juan; Baı̈ri, A.

doi:10.1016/j.wear.2008.08.016

Cited by 90 publications

(50 citation statements)

References 19 publications

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“…In another paper, Yevtushenko et al [19] considered frictional heating between a pin and a rotating disc. This problem was also studied by Laraqi et al [20]. Of course, finite element analyzes of mechanical contact problem by using Eulerian approaches appear more frequently, see e.g.…”

Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 91%

“…One should be aware that constitutive assumptions, such as e.g. Fourier's law of heat transfer and zero heat capacity of the contact interface Γ c , are needed to derive the balance laws postulated in (20) and (23) by starting from the first principle of thermodynamics. A detailed derivation of these balance laws can be found in Strömberg [1].…”

Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 99%

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An Eulerian approach for simulating frictional heating in disc-pad systems

Strömberg

2011

European Journal of Mechanics - A/Solids

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Thermal stresses as a result from frictional heating must be considered when designing disc brakes, clutches or other rotating machine components with sliding contact conditions. The rotational symmetry of the disc in these kind of applications makes it possible to model these systems using an Eulerian approach instead of a Lagrangian framework. In this paper such an approach is developed and implemented. The disc is formulated in an Eulerian frame where the convective terms are defined by the angular velocity. By utilizing the Eulerian framework, a node-tonode formulation of the contact interface is obtained, producing most accurate frictional heat power solutions. The energy balance of the interface is postulated by introducing an interfacial temperature. Both frictional power and contact conductances are included in this energy balance. The contact problem is solved by a non-smooth Newton method. By adopting the augmented Lagrangian approach, this is done by rewriting Signorini's contact conditions to an equivalent semi-smooth equation. The heat transfer in the disc is discretized by a Petrov-Galerking approach, i.e. the numerical difficulties due to the non-symmetric convective matrix appearing in a pure Galerkin discretization is treated by following the streamline-upwind approach. In such 1 *Manuscript with Highlighted Changes Click here to view linked References M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPTmanner a stabilization is obtained by adding artificial conduction along the streamlines. For each time step the thermoelastic contact problem is first solved for the temperature field from the previous time step. Then, the heat transfer problem is solved for the corresponding frictional power. In such manner a temperature history is obtained sequentially via the trapezoidal rule. In particular the parameter is set such that both the Crank-Nicolson and the Galerkin methods are utilized. The method seems very promising. This is demonstrated by solving a two-dimensional benchmark as well as a real disc brake system in three dimension.

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Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 91%

Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 99%

An Eulerian approach for simulating frictional heating in disc-pad systems

Strömberg

2011

European Journal of Mechanics - A/Solids

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“…Many other flash temperature models have already appeared in the literature. These studies extended Jaeger's theory to various heat source shapes and to multiple asperity contact based on steady-state conditions (Archard, 1959;Francis, 1971;Laraqi et al, 2009;Kuhlmann-Wisdorf, 1987).…”

Section: Sliding Contact Interfacesmentioning

confidence: 99%

“…Sketch of the problem contact between the coupled surfaces. For usual geometries and materials, it can be stated that, the heat flux evacuated by the disk is much greater than that evacuated by the pin (Laraqi et al, 2009). …”

Section: Basic Equations and Analytical Solutionmentioning

confidence: 99%

Thermographic Inspection at the Interface of Dry Sliding Surfaces

Cuccurullo¹,

Spingi²,

D’Agostino³

et al. 2012

Infrared Thermography

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“…In fact, the interface is always imperfect-due to the roughness -from mechanical and thermal points of view. Recently, theoretical and experimental studies [14,15] have been developed to characterize the thermal parameters which govern the heat transfer at the vicinity of a sliding interface. In certain industrial applications, the solids are provided with a surface coating.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Disk Brakes Rotor

Bouchetara¹,

Belhocine²

2014

AJME

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The main purpose of this study is to analyze the thermomechanical behavior of the dry contact between the brake disk and pads during the braking phase. The simulation strategy is based on computer code ANSYS11. The modeling of transient temperature in the disk is actually used to identify the factor of geometric design of the disk to install the ventilation system in vehicles The thermal-structural analysis is then used with coupling to determine the deformation and the Von Mises stress established in the disk, the contact pressure distribution in pads. The results are satisfactory when compared to those of the specialized literature.

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Temperature and division of heat in a pin-on-disc frictional device—Exact analytical solution

Cited by 90 publications

References 19 publications

An Eulerian approach for simulating frictional heating in disc-pad systems

An Eulerian approach for simulating frictional heating in disc-pad systems

Thermographic Inspection at the Interface of Dry Sliding Surfaces

Thermoelastic Analysis of Disk Brakes Rotor

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