# Influence of Adhesive Wear and Thermal Degradation on the Frictional Characteristics of Paper-Based Friction

Authors: Agusmian Partogi Ompusunggu; Paul Sas; Hendrik Van Brussel
Journal: ISRN Tribology
 (2013)

---

## Abstract

This paper discusses the effects of adhesive wear and thermal degradation
on the dry frictional characteristics of paper-based friction materials against
steel material. Some commercial paper-based friction materials typically used
for clutch applications were subjected to adhesive wear and thermal degradation
and the dry frictional characteristics were then measured at different
states on a rotational tribometer. The experimental results reveal that both
adhesive wear and thermal degradation have opposite effects on the frictional
characteristics, where the static and kinetic coefficients of friction increase due
to adhesive wear but decrease due to thermal degradation.


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## Body

## 1. Introduction

Paper-based materials have gained popularity as lining materials of the friction discs of transmission clutches because of their favorable properties such as high coefficient of friction (COF), stable friction characteristics, and low production cost [1, 2]. These materials are porous composites, basically containing some ingredients such as fiber, solid lubricant, and friction modifiers; which are all saturated and cured at certain pressure and temperature, with the thermosetting resin acting as a binder [3].After the first introduction of paper-based material for automatic transmission clutches, asbestos fibers were widely used as the main ingredient. However, it was found later on that the airborne asbestos fibers can cause serious health problems [5, 6]. As a consequence, the use of the asbestos fiber has been restricted since the 1970. The restriction was first applied in the USA and then across the globe [7]. Nowadays, asbestos fibers are no longer used for paper-based friction materials [8]. In general, the composition of modern paper-based friction materials is visually shown in Figure 1.Figure 1
Schematic composition of a modern paper-based friction material, reproduced from [4].To obtain as high COF as possible, a paper-based material has to be designed with following specifications: (i)sufficiently high porosity and resilience as recommended in [9–12] and (ii) plateaued (stratified) surface [13, 14]. Here, a plateaued surface is referred to as a surface having a negatively skewed asperity heights distribution. High porosity implies that the clutch lubricant can flow into the friction materials and expand the sliding area where boundary lubrication is dominant, resulting in a higher kinetic COF μk. Furthermore, a plateaued surface significantly contributes to larger microcontact area, that is, real contact area, which consequently results in higher static COF μs. This micro contact area is attributed with the discrete contact spots area formed by the contacting “asperity” summits. According to the Oxford Dictionary, the word “asperity” is defined as irregularities of surface, roughness or harshness. A typical surface profile of a new paper-based friction material is shown in Figure 2 One can notice from the figure that the asperity heights distribution ϕ(z) is asymmetric, which cannot be accurately approximated with the Gaussian distribution.(a) Optical image of a fresh paper-based friction material and (b) the typical profile exhibiting a plateaued surface. Note that the surface profile is measured along the sliding direction as indicated by the white arrow.
(a)
(b)Significant improvements in the performance and durability of such a material have been achieved in recent years through (i) the development of different types of fibers such as carbon fiber, aramid fiber (e.g., Kevlar), ceramic fiber, and cellulose fiber [8, 15], resins [16, 17], and fillers [18]; (ii) the optimization of the combination and content ratio of the ingredients [4, 17]. The performance and composition of a resin has a considerable impact on the mechanical properties of the friction material [16, 17]. In order to have a paper-based material with optimal mechanical properties, heat resistance, friction, and wear performance, Fei et al. [17] suggest that the composition of the resin in the material should be between 35 and 40%.Clutches are designed to expose a certain behavior in the beginning of their lifetime in order to fulfill some required performance for transmissions. As an illustration, a clutch should be able to transmit a certain power from the engine to the wheels under a smooth and fast engagement with minimal shudder. However, due to the unavoidable degradation, the frictional characteristics change, thus altering its initial performance. Moreover, the progression of the degradation may lead to poor frictional behavior causing less power transmission, severe shudder, and an unfavorable engagement process. Eventually, when the degradation nearly reaches the catastrophic stage, the clutch frictional behavior becomes severely poor and in addition the clutch is not functioning any longer as it should be, leading to the total breakdown of the vehicles. Before this undesired condition occurs, a maintenance action therefore needs to be scheduled for the replacement of the friction discs such that the initial performance of clutches can be maintained.As reported in the literature, adhesive wear and thermal degradation are listed as the main degradation sources of paper-based materials used in clutch applications. In practice, both degradation sources inevitably occur simultaneously, leading to a well-known phenomenon which is calledglazing [13]. As a result of this phenomenon, the surface of the friction material looses its porosity (i.e., the surface porosity decreases due to blocking of deposition of debris particles), becomes smoother, and appears glazed [19]. Many intensive studies have been carried out to characterize the frictional characteristics of paper-based friction material due to the degradation [12, 19–22]. However, the respective influences of adhesive wear and thermal degradation occurring in the material on the frictional characteristics during its lifetime still remain unclear and are subject to further investigation. Several researchers [14, 23], by ignoring the thermal degradation effect, have attempted to understand the adhesive wear effect on the contact properties of a paper-based material during the run-in tests, namely, the real contact area and the number of asperities making contact. They reported that the two contact parameters increase as the wear progresses. Nevertheless, the effects of adhesive wear occurring in the material on the frictional characteristics need to be further investigated.This paper aims at understanding the respective influence of the degradation sources occurring in paper-based materials, that is, adhesive wear and thermal degradation, on the frictional characteristics. A profound understanding of the influence is essential for predicting the lifetime behavior of mechanical components equipped with paper-based materials as the lining materials, such as clutches. The gained knowledge can be further employed to establish the relationship between the health status and the dynamic behavior of the components. In this way, the state of a paper-based material can be predicted from the dynamic behavior of the component.The remainder of this paper is organized as follows. After discussing the motivation and objective of this paper, the methodology to investigate the influences and the experimental aspects are proposed in Section2. Results obtained from the study are then presented and discussed in Section 3. Finally, some conclusions drawn from the study, that can be a basis for future work, are given in Section 4.


## 2. Methodology and Experiment

To investigate the influences of adhesive wear and thermal degradation occurring in paper-based material on the frictional characteristics, in this study, some commercial friction discs which are typically used for clutch applications are employed. Note that all the tests, comprising wear and thermal degradation inducements and friction measurements, were carried out in unlubricated (dry) environment. As the surface profile can be presumably affected by the two mechanisms, thus, it is important to evaluate the topography of the materials at different states. Here, the surface profiles are measured and evaluated by using a talysurf profilometer.This section first discusses the used rotational tribometer. Afterwards, some details concerning the used materials and preparation prior to perform the tests are discussed. Finally, the experimental procedures carried out in the study are proposed.


### 2.1. Rotational Tribometer Setup

The tribometer used in this study was originally developed by the previous researcher [24] at the Department of Mechanical Engineering of KU Leuven with the main objective of accurate characterization of the friction phenomena occurring between two flat discs that slide past each other rotationally, either in dry or wet (lubricated) environment. Physical quantities that can be measured on the tribometer are torque, normal load, normal displacement, angular displacement, angular velocity, and temperature.For this present work, a modification has been applied to the tribometer, namely, adding a pneumatic actuator system that enables one to apply a normal load accurately and to automate the measurements. As shown in Figure3, the tribometer setup basically consists of the following main components: (1) frame fixed to the ground, (2) vertical guide ways aligning the upper and lower part, (3) shaker generating either a static or dynamic load, (4) direct drive motor with a built-in high-resolution encoder of 163,840 pulses/revolution, (5) flexible coupling ensuring that the contacting surfaces are aligned under load to establish an uniform pressure distribution across the whole contact area, (6) friction disc attached to the upper holder, (7) separator disc attached to the lower holder, (8) three strain gage-based dynamometers (only one of them is shown) assembled to a six DOF measuring table, (9) three capacitive displacement sensors (only one shown) placed at different positions (120 degrees), (10) proportional pneumatic valve, (11) DC voltage supply, (12) air pressure regulator, (13) air filter, (14) pressurized air source, (15) motor drive, (16) dSPACE interface, and (17) personal computer (PC).Figure 3
Schematic view of the tribometer.This fully instrumented tribometer can allow us to accurately characterize bothpresliding and sliding (gross sliding) frictions. In addition, the contact properties, such as tangential and normal contact stiffnesses, which are beyond the scope of this current work, can also be identified. For presliding friction identification, a small relative displacement between the friction and separator disc is imposed, where the amplitude of the displacement is selected such that only a microslip is observed. On the tribometer, this small displacement can be achieved due to the combination of the direct drive motor and the high-resolution encoder. Additionally, the motor can be controlled either in position or velocity mode with a proportional-derivative (PD) control. At the nominal load, it can rotate up to the maximum angular velocity of 4.8π rad/s. For sliding friction identification, a large relative displacement between the friction and the separator disc is imposed such that a gross sliding can be observed.The six-DOF measuring table on the tribometer is employed to measure the friction torque and the applied normal load. Based on the design specifications, the maximum normal load and torque which are recommended to be applied on the table are, respectively, 1290 N and 15 Nm. To generate the static normal load, pressurized air is applied to the shaker, which is actuated by the valve using a closed-loop proportional-integral-derivative (PID) controller. During the tests, all the acquired data are discretized with sampling frequency of 400 Hz and filtered by a low-pass filter with the cut-off frequency of 100 Hz in order to discard the high frequency and aliasing noise.


### 2.2. Materials

Four commercial friction discs made by two different anonymous manufactures (i.e., two discs of each product) and one separator disc, which all are provided by our industrial partner, are employed in this study. Prior to the tests, all the friction and separator discs are machined such that they can be attached to the corresponding holders. On one side of each friction disc, the lining material is completely removed, while on the other side, the inner diameterdi of the lining materials is enlarged and the outer diameter do is kept intact. In this way, the apparent contact area is reduced so that the apparent pressure is higher. Six counter bores are made on each friction and separator disc for attaching them onto the corresponding holders with bolts; see Figure 4.Configuration of (a) separator disc and (b) friction disc with respect to the corresponding holders.
(a)
(b)Table1 lists some details of the friction discs used in the investigation. All the friction discs (products A and B) are paper-based type and have the same groove pattern, that is, waffle groove type. Approximately, one-third area of a waffle block (i.e., width of ~1.4 mm) of each friction disc is reserved for surface topography measurement as illustrated in Figure 5.Table 1
Overview of the friction discs used in the investigation.
Product
Inner diameterdi
Outer diameterdo
Mean diameterdm
(mm)
(mm)
(mm)
A
136
160
148
B
130
148
139Figure 5
(a) A modified friction disc and (b) the reserved area for the surface topography measurement.


### 2.3. Experimental Procedure

Prior to perform either a wear or a thermal test, the surface profile of each sample is measured on the reserved area along the sliding direction as indicated by the white arrow in Figure5. In order to have representative results, the topography measurements on the reserved area are carried out at four different radial positions. It is remarkable to mention that no intermediate surface profile measurement was performed during the wear test since the effect of adhesive wear on the surface profile is fairly well understood. Jeng and Gao [25] show that the roughness and the skewness of the surface profile of some materials decrease with the progression of adhesive wear. Nyman et al. [26] confirm such findings on sintered bronze materials which are used in limited slip differential clutch applications. Instead, intermediate surface profile measurement was performed in the thermal test since the effect on the surface profile, according to the authors’ knowledge, is not well understood.


#### 2.3.1. Inducement of Adhesive Wear and Thermal Degradation

Adhesive wear is induced into a friction disc by sliding it against a separator disc at a constant normal load of 200 N (i.e., the apparent pressures corresponding to this load for products A and B are0.36×105 Pa and 0.51×105 Pa, resp.) and a constant angular velocity of 12 rad/s during a predefined sliding time interval tslide. Since a wear test can dissipate heat, an air fan was used during the test to forcibly cool the tribometer in order to avoid the temperature increase that may introduce unwanted thermal degradation in the samples. Once the predefined time interval is accomplished, the motor is switched off and the sample is unloaded for a while. Consecutively, the friction torque between the friction and separator disc is measured following the procedure that will be described in Section 2.3.2. This test sequence is repeated until the predefined total sliding time τslide is completed. Given ωslide and τslide, the total sliding distance Xslide of each sample can thus be computed. Note that the total sliding distance Xslide is computed with respect to the center of the lining material, that is, Xslide=dm/2×ωslide×τslide, where dm=(di+do)/2 denotes the mean diameter given in Table 1. According to Table 2, the total sliding distances of sample types A and B are 4.795 km, and 4.503 km, respectively.Table 2
Overview of the wear and thermal tests.
Test mode
Comment
Tested sample
Wear test
τ
slide = 90 minutes
A1
B1
Thermal test
τ
heating = 60 hours
A2
B2Different from the wear test, thermal degradation is induced into a friction disc by heating it up in an oven under a controlled temperature (200°C) for a predefined heating timetheating. After the theating is reached, the sample is taken out from the oven and then naturally cooled with air until it reaches the room temperature. Once the equilibrium state is reached, the surface profile measurement is carried out and the sample is then reinstalled on the tribometer for the friction measurement according to the procedure described in Section 2.3.2. These all steps are repeated for each sample until the predefined total heating time τheating is attained. It should be noticed here that the heating time is predetermined based on our exploration on some friction discs.


#### 2.3.2. Friction Measurement Procedure

The frictional characteristics of each friction material at a certain state are measured at room temperature (~20°C) by imposing a sinusoidal relative motion between the friction disc and the separator disc. In this way, the effect of accelerated and decelerated motions on the friction characteristics can be evaluated.In this study, the amplitude and frequency of the sinusoidal motion are chosen to be 2 rad and 0.5 Hz, respectively. The frictional characteristics are investigated at one normal load of 300 N and eight different angular positions. For products A and B, this normal load corresponds to the apparent contact pressures of0.54×105 Pa and 0.76×105 Pa, respectively. Figure 6 illustrates the position of the friction disc with respect to the separator disc for the friction characterization purpose. As seen in the figure, the sinusoidal motion is imposed when the applied normal load W reaches the steady state (the time interval between the two vertical dashed lines).Figure 6
Typical relative motion profileθ between the friction and separator disc and the normal load profile W.


## 2.1. Rotational Tribometer Setup

The tribometer used in this study was originally developed by the previous researcher [24] at the Department of Mechanical Engineering of KU Leuven with the main objective of accurate characterization of the friction phenomena occurring between two flat discs that slide past each other rotationally, either in dry or wet (lubricated) environment. Physical quantities that can be measured on the tribometer are torque, normal load, normal displacement, angular displacement, angular velocity, and temperature.For this present work, a modification has been applied to the tribometer, namely, adding a pneumatic actuator system that enables one to apply a normal load accurately and to automate the measurements. As shown in Figure3, the tribometer setup basically consists of the following main components: (1) frame fixed to the ground, (2) vertical guide ways aligning the upper and lower part, (3) shaker generating either a static or dynamic load, (4) direct drive motor with a built-in high-resolution encoder of 163,840 pulses/revolution, (5) flexible coupling ensuring that the contacting surfaces are aligned under load to establish an uniform pressure distribution across the whole contact area, (6) friction disc attached to the upper holder, (7) separator disc attached to the lower holder, (8) three strain gage-based dynamometers (only one of them is shown) assembled to a six DOF measuring table, (9) three capacitive displacement sensors (only one shown) placed at different positions (120 degrees), (10) proportional pneumatic valve, (11) DC voltage supply, (12) air pressure regulator, (13) air filter, (14) pressurized air source, (15) motor drive, (16) dSPACE interface, and (17) personal computer (PC).Figure 3
Schematic view of the tribometer.This fully instrumented tribometer can allow us to accurately characterize bothpresliding and sliding (gross sliding) frictions. In addition, the contact properties, such as tangential and normal contact stiffnesses, which are beyond the scope of this current work, can also be identified. For presliding friction identification, a small relative displacement between the friction and separator disc is imposed, where the amplitude of the displacement is selected such that only a microslip is observed. On the tribometer, this small displacement can be achieved due to the combination of the direct drive motor and the high-resolution encoder. Additionally, the motor can be controlled either in position or velocity mode with a proportional-derivative (PD) control. At the nominal load, it can rotate up to the maximum angular velocity of 4.8π rad/s. For sliding friction identification, a large relative displacement between the friction and the separator disc is imposed such that a gross sliding can be observed.The six-DOF measuring table on the tribometer is employed to measure the friction torque and the applied normal load. Based on the design specifications, the maximum normal load and torque which are recommended to be applied on the table are, respectively, 1290 N and 15 Nm. To generate the static normal load, pressurized air is applied to the shaker, which is actuated by the valve using a closed-loop proportional-integral-derivative (PID) controller. During the tests, all the acquired data are discretized with sampling frequency of 400 Hz and filtered by a low-pass filter with the cut-off frequency of 100 Hz in order to discard the high frequency and aliasing noise.


## 2.2. Materials

Four commercial friction discs made by two different anonymous manufactures (i.e., two discs of each product) and one separator disc, which all are provided by our industrial partner, are employed in this study. Prior to the tests, all the friction and separator discs are machined such that they can be attached to the corresponding holders. On one side of each friction disc, the lining material is completely removed, while on the other side, the inner diameterdi of the lining materials is enlarged and the outer diameter do is kept intact. In this way, the apparent contact area is reduced so that the apparent pressure is higher. Six counter bores are made on each friction and separator disc for attaching them onto the corresponding holders with bolts; see Figure 4.Configuration of (a) separator disc and (b) friction disc with respect to the corresponding holders.
(a)
(b)Table1 lists some details of the friction discs used in the investigation. All the friction discs (products A and B) are paper-based type and have the same groove pattern, that is, waffle groove type. Approximately, one-third area of a waffle block (i.e., width of ~1.4 mm) of each friction disc is reserved for surface topography measurement as illustrated in Figure 5.Table 1
Overview of the friction discs used in the investigation.
Product
Inner diameterdi
Outer diameterdo
Mean diameterdm
(mm)
(mm)
(mm)
A
136
160
148
B
130
148
139Figure 5
(a) A modified friction disc and (b) the reserved area for the surface topography measurement.


## 2.3. Experimental Procedure

Prior to perform either a wear or a thermal test, the surface profile of each sample is measured on the reserved area along the sliding direction as indicated by the white arrow in Figure5. In order to have representative results, the topography measurements on the reserved area are carried out at four different radial positions. It is remarkable to mention that no intermediate surface profile measurement was performed during the wear test since the effect of adhesive wear on the surface profile is fairly well understood. Jeng and Gao [25] show that the roughness and the skewness of the surface profile of some materials decrease with the progression of adhesive wear. Nyman et al. [26] confirm such findings on sintered bronze materials which are used in limited slip differential clutch applications. Instead, intermediate surface profile measurement was performed in the thermal test since the effect on the surface profile, according to the authors’ knowledge, is not well understood.


### 2.3.1. Inducement of Adhesive Wear and Thermal Degradation

Adhesive wear is induced into a friction disc by sliding it against a separator disc at a constant normal load of 200 N (i.e., the apparent pressures corresponding to this load for products A and B are0.36×105 Pa and 0.51×105 Pa, resp.) and a constant angular velocity of 12 rad/s during a predefined sliding time interval tslide. Since a wear test can dissipate heat, an air fan was used during the test to forcibly cool the tribometer in order to avoid the temperature increase that may introduce unwanted thermal degradation in the samples. Once the predefined time interval is accomplished, the motor is switched off and the sample is unloaded for a while. Consecutively, the friction torque between the friction and separator disc is measured following the procedure that will be described in Section 2.3.2. This test sequence is repeated until the predefined total sliding time τslide is completed. Given ωslide and τslide, the total sliding distance Xslide of each sample can thus be computed. Note that the total sliding distance Xslide is computed with respect to the center of the lining material, that is, Xslide=dm/2×ωslide×τslide, where dm=(di+do)/2 denotes the mean diameter given in Table 1. According to Table 2, the total sliding distances of sample types A and B are 4.795 km, and 4.503 km, respectively.Table 2
Overview of the wear and thermal tests.
Test mode
Comment
Tested sample
Wear test
τ
slide = 90 minutes
A1
B1
Thermal test
τ
heating = 60 hours
A2
B2Different from the wear test, thermal degradation is induced into a friction disc by heating it up in an oven under a controlled temperature (200°C) for a predefined heating timetheating. After the theating is reached, the sample is taken out from the oven and then naturally cooled with air until it reaches the room temperature. Once the equilibrium state is reached, the surface profile measurement is carried out and the sample is then reinstalled on the tribometer for the friction measurement according to the procedure described in Section 2.3.2. These all steps are repeated for each sample until the predefined total heating time τheating is attained. It should be noticed here that the heating time is predetermined based on our exploration on some friction discs.


### 2.3.2. Friction Measurement Procedure

The frictional characteristics of each friction material at a certain state are measured at room temperature (~20°C) by imposing a sinusoidal relative motion between the friction disc and the separator disc. In this way, the effect of accelerated and decelerated motions on the friction characteristics can be evaluated.In this study, the amplitude and frequency of the sinusoidal motion are chosen to be 2 rad and 0.5 Hz, respectively. The frictional characteristics are investigated at one normal load of 300 N and eight different angular positions. For products A and B, this normal load corresponds to the apparent contact pressures of0.54×105 Pa and 0.76×105 Pa, respectively. Figure 6 illustrates the position of the friction disc with respect to the separator disc for the friction characterization purpose. As seen in the figure, the sinusoidal motion is imposed when the applied normal load W reaches the steady state (the time interval between the two vertical dashed lines).Figure 6
Typical relative motion profileθ between the friction and separator disc and the normal load profile W.


## 2.3.1. Inducement of Adhesive Wear and Thermal Degradation

Adhesive wear is induced into a friction disc by sliding it against a separator disc at a constant normal load of 200 N (i.e., the apparent pressures corresponding to this load for products A and B are0.36×105 Pa and 0.51×105 Pa, resp.) and a constant angular velocity of 12 rad/s during a predefined sliding time interval tslide. Since a wear test can dissipate heat, an air fan was used during the test to forcibly cool the tribometer in order to avoid the temperature increase that may introduce unwanted thermal degradation in the samples. Once the predefined time interval is accomplished, the motor is switched off and the sample is unloaded for a while. Consecutively, the friction torque between the friction and separator disc is measured following the procedure that will be described in Section 2.3.2. This test sequence is repeated until the predefined total sliding time τslide is completed. Given ωslide and τslide, the total sliding distance Xslide of each sample can thus be computed. Note that the total sliding distance Xslide is computed with respect to the center of the lining material, that is, Xslide=dm/2×ωslide×τslide, where dm=(di+do)/2 denotes the mean diameter given in Table 1. According to Table 2, the total sliding distances of sample types A and B are 4.795 km, and 4.503 km, respectively.Table 2
Overview of the wear and thermal tests.
Test mode
Comment
Tested sample
Wear test
τ
slide = 90 minutes
A1
B1
Thermal test
τ
heating = 60 hours
A2
B2Different from the wear test, thermal degradation is induced into a friction disc by heating it up in an oven under a controlled temperature (200°C) for a predefined heating timetheating. After the theating is reached, the sample is taken out from the oven and then naturally cooled with air until it reaches the room temperature. Once the equilibrium state is reached, the surface profile measurement is carried out and the sample is then reinstalled on the tribometer for the friction measurement according to the procedure described in Section 2.3.2. These all steps are repeated for each sample until the predefined total heating time τheating is attained. It should be noticed here that the heating time is predetermined based on our exploration on some friction discs.


## 2.3.2. Friction Measurement Procedure

The frictional characteristics of each friction material at a certain state are measured at room temperature (~20°C) by imposing a sinusoidal relative motion between the friction disc and the separator disc. In this way, the effect of accelerated and decelerated motions on the friction characteristics can be evaluated.In this study, the amplitude and frequency of the sinusoidal motion are chosen to be 2 rad and 0.5 Hz, respectively. The frictional characteristics are investigated at one normal load of 300 N and eight different angular positions. For products A and B, this normal load corresponds to the apparent contact pressures of0.54×105 Pa and 0.76×105 Pa, respectively. Figure 6 illustrates the position of the friction disc with respect to the separator disc for the friction characterization purpose. As seen in the figure, the sinusoidal motion is imposed when the applied normal load W reaches the steady state (the time interval between the two vertical dashed lines).Figure 6
Typical relative motion profileθ between the friction and separator disc and the normal load profile W.


## 3. Results and Discussion

Figure7 shows typical plots of the friction torque Mf versus the angular velocity ω and the COF μ versus the sliding velocity v (i.e.,  v=dmω/2) measured on the tribometer. One can see that both friction curves are nearly symmetric with respect to the origin, that is, point symmetry, and exhibit the frictional lag phenomenon where the friction torque or COF measured during acceleration (solid arrow) is larger than that measured during deceleration (dashed arrow) [27, 28]. Note that the negative COF implies that the measured friction torque is negative.Typical friction characteristics of a new paper-based material in dry environment. Note that the solid and the dashed arrows, respectively, denote acceleration and deceleration.
(a)
(b)The COFμ is computed according to the following equation [22]:
(1)μ=3Mf(ro2-ri2)2W(ro3-ri3),
where ri=di/2 and ro=do/2, Mf is the measured friction torque, and W is the applied load. Note that the equation is derived under the assumption that the pressure across the contact surface is uniform. The derivation of this equation is shortly discussed in the appendix.Theμ-v curve as shown in Figure 7(b) is often used to describe the frictional characteristics of a tribological system. As a practical example in automatic transmissions, the curve slope at low velocity has been widely accepted to be responsible for the presence of shudder. The more positive the slope is, the less shudder is generated in the transmissions. Therefore, the μ-v curve with a positive slope is well known to have an antishudder property.Figure7 shows the frictional characteristic of a fresh sample measured in unlubricated (dry) environment. It is evident from the figure that the tested sample has an anti-shudder property. This uncommon dry friction characteristic is possibly due to the shear mechanism activated in the pseudoresin-resin contact occurring in paper-based materials as hypothesized by Ingram et al. in [29].In this paper, two quantities, namely, the static COFμs and kinetic COF μk, are considered as parameters representing the frictional characteristics. The μs is defined here as the averaged of the maximumCOF when the absolute sliding velocity |v| ranges from 0.01 to 0.1 m/s, while the μk is defined as the meanCOF when the |v| ranges from 0.35 to 0.45 m/s. Mathematically speaking, the static COF μs and the kinetic COF μk can be expressed as follows:
(2)μs=μs++μs-2,
with
(3)μs+=max({μ(v):0.01<v<0.1}),μs-=max({μ(v):-0.1<v<-0.01}),(4)μk=12(v2-v1)[∫v1v2‍μdv+|∫-v1-v2‍μdv|],
where v1=0.35 and v2=0.45.Since the evolution of the static COFμs and kinetic COF μk is of interest in this study, it is thus convenient to normalize these two quantities with respect to their reference values (μsref and μkref) which are measured at initial condition. The normalized static COF μ-s and normalized kinetic COF μ-k are expressible as
(5)μ-s=μsμsref
and similarly
(6)μ-k=μkμkref.


### 3.1. Influence of Adhesive Wear

Figure8 shows the evolution of the normalized static COF μ-s and normalized kinetic COFs μ-k in function of the sliding distance. In general, one can see that the two normalized COFs increase with the progression of adhesive wear.Evolution of the normalized static and kinetic COFs obtained from the wear tests.
(a)
(b)The increasing COFs shown in Figure8 can be explained as follows. During adhesive wear process, a certain amount of debris particles is produced because of the loss of material in the contact regions. As wear progresses, the amount of material loss increases. Consequently, the contact regions (peaks) become flatter leading to the alteration of the surface topography, as can be seen in Figure 9. One can see in the figure that the surface roughness Ra decreases and the skewness Rsk becomes more negative. Qualitatively similar change on the surface profile is also observed on another sample as seen in Figure 10.Change of the surface topography of a representative friction disc (a) before and (b) after the wear test.
(a)
(b)Topography parameters,Ra and Rsk, measured before and after the wear tests. At each state, both parameters are the averaged values of four measurements at different locations.
(a)
(b)In the macroscopic scale, decreasingRa and Rsk indicates that the surface becomes smoother and more plateaued. On a microscopic scale, these reductions can be translated into the fact that the real contact area Ar and the number of asperities making contact Nac increase in size, as experimentally investigated both in dry and lubricated conditions [14, 23]. Hence, at given normal load, the Ar and Nac of a worn surface are larger than those of a fresh surface. The nature of the contact between the two contacting surfaces will change due to the alteration of both micro contact properties (Ar and Nac), thus changing the friction torque or COF. By assuming that the friction material properties remain constant, it is therefore reasonable to conclude that the increase of the COFs is caused by the increase of the Ar and Nac.


### 3.2. Influence of Thermal Degradation

Visually, the effect of thermal degradation on one of the samples (i.e., sample A2) can be seen in Figure11. Due to a relatively high temperature during a certain duration, the material is presumably oxidized homogeneously through the network of the fibrous composite which is evident from the color change.Figure 11
Photographs of the fresh (left) and thermally degraded friction discs (right). The degraded friction disc results from heating up an identical fresh disc in an oven at 200°C for 24 hours in dry environment.Figure12 shows the evolution of the normalized static and kinetic COFs measured at room temperature after different heating durations. In contrast to the influence of adhesive wear, the static and kinetic COFs tend to decrease with the progression of thermal degradation.Evolution of the normalized static and kinetic COFs obtained from the thermal tests.
(a)
(b)The evolutions of the topography parameters of the samples A2 and B2 during the thermal tests are shown in Figure13. As is obvious in the figure, there is no notably systematic change of the surface topography due to thermal degradation. This implies that the change of the surface topography at the predefined temperature has no strong correlation to the reduction of the COFs that appears to be a systematic change. It is likely that the change of the surface topography due to thermal degradation at this particular temperature has minor impact in changing the COFs.Evolution of the topographical parameters,Ra and Rsk, with the progression of thermal degradation.
(a)
(b)Based on the observation of such findings, the systematic reduction of the static and kinetic COFs revealed in the thermal tests is believed to be predominantly caused by the change of the structure and properties of the material due to high temperature. Such a hypothesis can be explained as follows. As composites, the structure and the mechanical properties of paper-based materials are strongly determined by the composition ratio of the resin as a binder [17]. During the curing process when a paper-based material is manufactured, the resin is hardened, which cannot be melted and reshaped. The resin in the friction material, for example, phenolic resin, is inherently quite brittle once it is already cured. At relatively high temperature, the phenolic resin chars, namely, carbonized, and then ablates into carbon dioxide [30]. In addition, the cellulose fibers may also be oxidized at high temperature which eventually detach from the composite. As a result, the density of adhesion joints formed by the resin decreases and the porosity of the material may increase [31], thus changing the structure and the mechanical properties of the material. Maeda and Murakami [32] report that the shear strength of the friction material decreases due to thermal degradation, which affirms the aforementioned hypothesis.


## 3.1. Influence of Adhesive Wear

Figure8 shows the evolution of the normalized static COF μ-s and normalized kinetic COFs μ-k in function of the sliding distance. In general, one can see that the two normalized COFs increase with the progression of adhesive wear.Evolution of the normalized static and kinetic COFs obtained from the wear tests.
(a)
(b)The increasing COFs shown in Figure8 can be explained as follows. During adhesive wear process, a certain amount of debris particles is produced because of the loss of material in the contact regions. As wear progresses, the amount of material loss increases. Consequently, the contact regions (peaks) become flatter leading to the alteration of the surface topography, as can be seen in Figure 9. One can see in the figure that the surface roughness Ra decreases and the skewness Rsk becomes more negative. Qualitatively similar change on the surface profile is also observed on another sample as seen in Figure 10.Change of the surface topography of a representative friction disc (a) before and (b) after the wear test.
(a)
(b)Topography parameters,Ra and Rsk, measured before and after the wear tests. At each state, both parameters are the averaged values of four measurements at different locations.
(a)
(b)In the macroscopic scale, decreasingRa and Rsk indicates that the surface becomes smoother and more plateaued. On a microscopic scale, these reductions can be translated into the fact that the real contact area Ar and the number of asperities making contact Nac increase in size, as experimentally investigated both in dry and lubricated conditions [14, 23]. Hence, at given normal load, the Ar and Nac of a worn surface are larger than those of a fresh surface. The nature of the contact between the two contacting surfaces will change due to the alteration of both micro contact properties (Ar and Nac), thus changing the friction torque or COF. By assuming that the friction material properties remain constant, it is therefore reasonable to conclude that the increase of the COFs is caused by the increase of the Ar and Nac.


## 3.2. Influence of Thermal Degradation

Visually, the effect of thermal degradation on one of the samples (i.e., sample A2) can be seen in Figure11. Due to a relatively high temperature during a certain duration, the material is presumably oxidized homogeneously through the network of the fibrous composite which is evident from the color change.Figure 11
Photographs of the fresh (left) and thermally degraded friction discs (right). The degraded friction disc results from heating up an identical fresh disc in an oven at 200°C for 24 hours in dry environment.Figure12 shows the evolution of the normalized static and kinetic COFs measured at room temperature after different heating durations. In contrast to the influence of adhesive wear, the static and kinetic COFs tend to decrease with the progression of thermal degradation.Evolution of the normalized static and kinetic COFs obtained from the thermal tests.
(a)
(b)The evolutions of the topography parameters of the samples A2 and B2 during the thermal tests are shown in Figure13. As is obvious in the figure, there is no notably systematic change of the surface topography due to thermal degradation. This implies that the change of the surface topography at the predefined temperature has no strong correlation to the reduction of the COFs that appears to be a systematic change. It is likely that the change of the surface topography due to thermal degradation at this particular temperature has minor impact in changing the COFs.Evolution of the topographical parameters,Ra and Rsk, with the progression of thermal degradation.
(a)
(b)Based on the observation of such findings, the systematic reduction of the static and kinetic COFs revealed in the thermal tests is believed to be predominantly caused by the change of the structure and properties of the material due to high temperature. Such a hypothesis can be explained as follows. As composites, the structure and the mechanical properties of paper-based materials are strongly determined by the composition ratio of the resin as a binder [17]. During the curing process when a paper-based material is manufactured, the resin is hardened, which cannot be melted and reshaped. The resin in the friction material, for example, phenolic resin, is inherently quite brittle once it is already cured. At relatively high temperature, the phenolic resin chars, namely, carbonized, and then ablates into carbon dioxide [30]. In addition, the cellulose fibers may also be oxidized at high temperature which eventually detach from the composite. As a result, the density of adhesion joints formed by the resin decreases and the porosity of the material may increase [31], thus changing the structure and the mechanical properties of the material. Maeda and Murakami [32] report that the shear strength of the friction material decreases due to thermal degradation, which affirms the aforementioned hypothesis.


## 4. Conclusions

Adhesive wear and thermal degradation are the main aging mechanisms in paper-based friction materials. These two degradation mechanisms (however, nonseparable) are inevitably present in practice, where the dominance depends on the operating condition. Although many studies concerning the tribological behavior of this material have been reported in the literature, the effects of each degradation mechanism on the frictional characteristics are not fully understood. In this paper, the respective influences of these two mechanisms have been investigated independently. The experimental results show that these two mechanisms have opposite influences on the frictional characteristics of paper-based materials. In general, the coefficient of friction (COF) increases with the progression of adhesive wear, mainly caused by the change of the surface topography; that is, the real contact area and number of asperities making contact increase in size. On the contrary, the COF decreases with the progression of thermal degradation, that is believed to be caused by the change of the structure and properties of the material.



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*Source: 739202-2013-01-10.xml*