The Heat Partition Ratio during Braking in a Functionally Graded Friction Couple

Yevtushenko, A.A.; Topczewska, Katarzyna; Zamojski, Przemysław

doi:10.3390/ma15134623

Cited by 4 publications

(7 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An analytical scheme was proposed to determine the temperature during the repeated short-term (RST) operation mode of the braking system, in which one of the friction elements is made of a functionally gradient material (FGM). The proposed approach is a generalization of the authors’ results concerning a single braking process [ 10 , 11 , 12 ]. Calculations were carried out for a friction pair made of a two-component FGM (base ZrO 2 , core Ti–6Al–4V) and ChNMKh gray cast iron, for five braking actions.…”

Section: Discussionmentioning

confidence: 97%

“…The volume temperature

of the friction system before the start of the

–th braking was found as [ 7 ]:

where

—coefficient of the convective heat transfer from the surface of the disc with an area

during the acceleration stages,

—heat partition ratio (HPR). The methodology for determining HPR for the functionally graded friction couple is proposed in [ 11 ]. Based on this methodology, the heat transfer coefficient in formula (25) for the considered friction pair (FGM—homogeneous material) was found in the form [ 11 ]:

where

…”

Section: Analytical Modelmentioning

confidence: 99%

“…The methodology for determining HPR for the functionally graded friction couple is proposed in [ 11 ]. Based on this methodology, the heat transfer coefficient in formula (25) for the considered friction pair (FGM—homogeneous material) was found in the form [ 11 ]:

where

…”

Section: Analytical Modelmentioning

confidence: 99%

“…The properties (7) and (9) of these materials at the initial temperature

are as follows [ 10 , 11 ]:…”

Section: Numerical Analysismentioning

confidence: 99%

See 3 more Smart Citations

Temperature during Repetitive Short-Term Operation of a Brake with Functionally Graded Friction Element

2023

Self Cite

View full text Add to dashboard Cite

The object of study is the temperature of a braking system, operating in repetitive short-term (RST) mode. One element of the considered friction pair is made of a functionally gradient material (FGM), and the other of a homogeneous material. To determine the temperature on the friction surfaces of both elements, the previously obtained, exact solution of the boundary value problem of heat conduction was adopted, with account of the heat generation due to the friction. A calculation scheme was proposed that takes into consideration thermal sensitivity of materials and variations of the friction coefficient under the influence of temperature. Calculations were performed for two-component FGM (ZrO2–Ti-6Al-4V) in combination with gray cast iron (ChNMKh). It was found that for selected friction pair materials, consideration of their thermal sensitivity reduces the time of braking and the value of temperature achieved on the friction surfaces. At the same time, the whole process was characterized by a good stability of braking with a slight decrease in efficiency in each subsequent cycle.

show abstract

Section: Discussionmentioning

confidence: 97%

“…The volume temperature

of the friction system before the start of the

–th braking was found as [ 7 ]:

where

—coefficient of the convective heat transfer from the surface of the disc with an area

during the acceleration stages,

where

…”

Section: Analytical Modelmentioning

confidence: 99%

where

…”

Section: Analytical Modelmentioning

confidence: 99%

“…The properties (7) and (9) of these materials at the initial temperature

are as follows [ 10 , 11 ]:…”

Section: Numerical Analysismentioning

confidence: 99%

See 2 more Smart Citations

Temperature during Repetitive Short-Term Operation of a Brake with Functionally Graded Friction Element

2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our previous research on mathematical modeling of the FGMs friction heating process, presented in articles [ 24 , 27 , 32 , 33 ], was based on the semi–infinite body (half–space) model of one or both elements of the friction pair. The main difference between the results presented in this manuscript is the inclusion in the model of the finite thickness of one element—a FGC.…”

Section: Introductionmentioning

confidence: 99%

Use of Functionally Graded Material to Decrease Maximum Temperature of a Coating–Substrate System

2023

Self Cite

View full text Add to dashboard Cite

A mathematical model for determining the temperature distribution in the system consisting of a coating deposited on the surface of substrate was proposed. The foundation material is homogeneous, while the coating is made of a functionally gradient material (FGM) with thermal conductivity increasing exponentially along the thickness. Heating processes of the outer surface of the coating were considered with a constant and linearly decreasing in time intensity of the heat flux. Such thermal loads are common in thermal problems of friction, particularly regarding frictional heating during braking. An exact (in quadrature) solution of the corresponding boundary-value problems of parabolic heat conduction was obtained. Asymptotic solutions to these problems were also found for small and large values of the Fourier number. Calculations were performed for a coating made of two-component FGM ZrO2—Ti-6Al-4V, applied on a cast iron substrate. In order to explain the effect of FGM on temperature, corresponding analysis was carried out for the coating made of a homogeneous (ZrO2) material.

show abstract

Methodology for Modeling Nonlinear Thermomechanical Response With Wear at High-Speed Interactions: Application to a Pin–Disk Configuration

Pontonnier,

Quaegebeur,

Thouverez

et al. 2024

Journal of Engineering for Gas Turbines and Power

View full text Add to dashboard Cite

An aircraft engine is a complex structure for which some components can come into contact at high speed. Modelling this behaviour is very complex, multiple physics must be considered. State-of-the-art methodologies usually account for permanent contact and thermal modelling. In this paper, a new approach is proposed and embeds various phenomena. Moreau-Jean algorithm is employed to compute the transient response of the system. Moreover, the full non linear coupling between the dynamics and the heating process is taken into account through both a semi-analytical formulation and the finite-element method. At the contact interface, heat flux is generated by dry rubbing and flows into both interacting bodies. The heat flux partition is evaluated with a coefficient that depends on the material properties of the solids in contact. The proposed method also accounts for adhesive wear through an energetic approach. This methodology is applied to an academic, yet realistic, disk connected to a rotor shaft, free to move axially and to rotate around its revolution axis. Gyroscopic effects and variation of the rotation velocity are included leading to a full non linear mechanical behaviour. The disk undergoes aerodynamic load moving it to contact with a clamped free pin. The rotor shaft and the pin are modelled as 1D elastic bodies while the rotor disk is assumed to be rigid. Through this example, the developed strategy shows its potential to compute the complete transient highly non linear response of the breaking phenomenon, in an acceptable time simulation.

show abstract

The Heat Partition Ratio during Braking in a Functionally Graded Friction Couple

Cited by 4 publications

References 35 publications

Temperature during Repetitive Short-Term Operation of a Brake with Functionally Graded Friction Element

Temperature during Repetitive Short-Term Operation of a Brake with Functionally Graded Friction Element

Use of Functionally Graded Material to Decrease Maximum Temperature of a Coating–Substrate System

Methodology for Modeling Nonlinear Thermomechanical Response With Wear at High-Speed Interactions: Application to a Pin–Disk Configuration

Contact Info

Product

Resources

About