1 Introduction

The presence of contamination particles in a hard disk drive can lead to particle induced failure modes causing physical damage or thermal erasure of the recording media (Brand et al. 2007). Contamination particles inside an operating hard disk drive can result from assembly of the disk drive, from sliding of the suspension lift tab on the load-unload ramp, from fretting wear of the dimple/gimbal interface, or from slider disk contacts, to name a few. A longer list of potential sources of contamination particles in a hard disk drive is discussed by Zhang et al. (1999).

A number of investigations have been published on erasure of data and tribological failure of magnetic recording disk drives due to particles being trapped at the slider-disk interface. Zhang et al. (1999) studied experimentally the damaging effect of various contamination particles on the slider-disk interface. They found that particles can be embedded, deformed, or sheared during slider disk interactions, resulting in deformation and scratching of the disk surface. Xu et al. (2000) experimentally studied the presence of soft particles and proposed improved slider designs preventing the intrusion of soft particles in the slider-disk interface. A quasistatic model predicting scratch probability resulting from a hard particle trapped in the slider-disk interface was developed by Zeng et al. (2005). Roy and Brand (2007) experimentally investigated magnetic erasure of recording media due to soft particles. They reported that glass substrate media is more susceptible to thermal erasure than aluminum substrate media. No physical damage to the disk surface was observed. Shen and Bogy (2008) modeled motion of “large” elastic particles and showed that they tend to slide between slider and disk.

No studies have been published so far on the modeling of transient slider-disk contacts in the presence of contamination particles. The goal of the present work is to investigate this latter situation and study the tribological failure of the slider-disk interface by evaluating the temperature rise and the damage of the recording layer due to slider/disk contacts in the presence of spherical contamination particles for aluminum and glass substrate media.

2 Modeling

Figure 1 shows the schematic of the slider-disk interface during a transient contact in the presence of a single contamination particle. The impact velocity of the slider is denoted by V y while the disk circumferential velocity is denoted by V x. The particle is assumed to be spherical in shape with radius R, adhering solidly to the air bearing surface of the slider during a transient contact. We also assume that the slider has a mass of 0.5 mg. Experimental studies conducted by Chung et al. (2004) and Kim et al. (2003) showed that contamination particles can adhere solidly to the slider air bearing surface and rub against the moving disk surface. This situation is typical for the loading process when the air bearing surface of a slider hits a contamination particle present on the disk surface. This situation is considered in the present study, unlike the case when a contamination particle enters the head/disk interface, e.g., Xu et al. (2000).

Fig. 1
figure 1

Schematic model of a particle trapped in the slider-disk interface

Figure 2 shows the finite element model of a particle/disk contact for a disk with aluminum substrate. This model considers a multilayered disk structure for both aluminum and glass substrates as described by Ovcharenko et al. (2010). The spherical particle is assumed to have a constant initial temperature identical to that of the slider to which it adheres. Three materials were used to represent typical contamination particles, namely, stainless steel (SS), polyoxymethylene (POM), and alumina (Al2O3). The mechanical and thermal material properties of these particles are summarized in Table 1. These contamination particles represent three groups of materials, namely, soft (POM), semi-hard (SS), and hard (Al2O3). The material properties and the schematic of the layered disk structure with aluminum and glass substrates are given by Ovcharenko et al. (2010).

Fig. 2
figure 2

Finite element model of contact between particle and layered disk with aluminum substrate

Table 1 Material properties of contamination particles: stainless steel (SS), polyoxymethylene (POM), alumina (Al2O3)

3 Results and discussion

Figures 3, 4, and 5 show the maximum temperature rise, the plastically deformed area, and the maximum residual penetration on the disk surface, respectively, for stainless steel, polyoxymethylene and alumina contamination particles as a function of the particle radius for both glass and aluminum substrate disks. The numerical results were obtained for typical impact conditions of a slider on a disk, i.e., a slider vertical initial velocity of V y = 0.2 m/s, a disk circumferential velocity of V x = 10 m/s and a coefficient of friction of μ = 0.2. These assumed values of the vertical initial velocity and the coefficient of friction correspond to typical cases observed experimentally by, e.g., Fu and Bogy (2000); Liu and Ma (2003); Kato et al. (2004).

Fig. 3
figure 3

Maximum temperature rise on the surface of the recording layer caused by contamination particles for glass and aluminum substrate (V y = 0.2 m/s, V x = 10 m/s, μ = 0.2)

Fig. 4
figure 4

Plastic area on the surface of the recording layer caused by contamination particles for glass and aluminum substrate (V y = 0.2 m/s, V x = 10 m/s, μ = 0.2)

Fig. 5
figure 5

Maximum residual penetration on disk surface caused by contamination particles for glass and aluminum substrate (V y = 0.2 m/s, V x = 10 m/s, μ = 0.2)

Figure 3 shows the maximum temperature rise as a function of particle radius. We observe from Fig. 3 that glass substrate disks result in a higher maximum temperature rise in comparison with Ni–P/aluminum substrate, which is consistent with findings reported by Ovcharenko et al. (2010). Roy and Brand (2007) reported that media with glass substrate is more susceptible to thermal erasure induced by a soft particle than media with aluminum substrate. This finding is in line with the numerical results in Fig. 3 for POM particles showing a higher temperature rise on the surface of the recording layer for the glass substrate in comparison with the aluminum substrate due to its lower thermal conductivity. We observe that alumina particles lead to a higher maximum temperature rise than semi-hard stainless steel or soft polyoxymethylene particles due to the larger contact pressure resulting in higher frictional heating. We also observe that the maximum temperature rise is a function of the particle radius for small radii and becomes independent of particle size for particle radii larger than 5 μm.

Figure 4 shows that for hard alumina particles, glass substrate results in a smaller plastically deformed area in comparison with aluminum substrate due to the higher yield strength of glass. However, for the softer stainless steel contamination particles we observe nearly the same values of the plastically deformed area for both substrates. We also note that soft polyoxymethylene particles do not cause any plastic deformation (physical damage) on the surface of the recording layer. The plastic area on the surface of the recording layer tends to decrease with larger particle radius since contact pressure decreases.

Figure 5 shows the maximum residual penetration as a function of particle radius. We observe that the maximum residual penetration is larger for aluminum substrate than for glass substrate. The latter is in agreement with the numerical results shown in Fig. 4. For the numerical conditions assumed, semi-hard stainless steel and soft polyoxymethylene particles do not result in any residual penetration on the disk surface for either substrate. The numerical results in Fig. 5 are consistent with experimental observations by Roy and Brand (2007) concerning the absence of physical damage of the media surface in the presence of soft particles and results by Zhang et al. (1999) concerning scratches (physical damage) in the case of hard particles. We also observe that larger hard particles lead to shallow residual deformations on the disk surface due to lower contact pressure leading to smaller penetration.

Figure 6 shows temperature distribution and deformation of the contact region for alumina, stainless steel and polyoxymethylene particles at the moment of maximum contact force. The results are shown for an aluminum substrate disk with V y = 0.2 m/s, V x = 10 m/s, μ = 0.2, and R = 3 μm. We observe from Fig. 6a that hard and rigid alumina particles do not undergo deformation and penetrate into the media causing severe deformation and a high temperature rise. Figure 6b shows that semi-hard stainless steel particles cause negligible residual deformation on the media surface, but result still in a high temperature rise. Figure 6c shows the results for a soft polyoxymethylene particle. This case causes only a small temperature rise with no deformation of the media. From Fig. 6 we observe that hard particles such as alumina represent the most severe situation leading to physical damage of the media and a very high temperature rise. This can cause demagnetization in a way similar to slider-disk contacts as studied by Ovcharenko et al. (2010).

Fig. 6
figure 6

Temperature distribution and deformation of the contact region for a alumina, b stainless steel, c polyoxymethylene particles at the moment of maximum contact force (aluminum substrate disk, V y = 0.2 m/s, V x = 10 m/s, μ = 0.2, and R = 3 μm)

Numerical simulations of particles with radii <2 μm were also performed. Depending on the material properties of the contamination particles, we observed that small particles are either pushed deep into the substrate (alumina) or are flattened out on the surface of the disk (stainless steel and polyoxymethylene).

4 Conclusions

The slider-disk interface in the presence of contamination particles with different material properties and radii was studied for media with glass and aluminum substrates. From the numerical analysis and the results obtained we can conclude

  1. 1.

    Soft particles such as polyoxymethylene particles do not show residual plastic deformation of the magnetic recording layer during transient slider disk contacts. Temperature increases on the order of 100° of Centigrade are predicted, indicating that thermal erasure may be a possible tribological failure mechanism.

  2. 2.

    Semi-hard particles such as stainless steel particles seem to cause little physical damage (residual plastic deformation) of the recording layer, but result in a temperature rise of several hundred degrees of Centigrade, which could lead to thermal erasure.

  3. 3.

    Hard particles such as alumina particles are predicted to result in significant plastic deformation combined with high temperature rise which can lead to loss of data in a similar way as “conventional” slider-disk contacts. It is apparent that hard contamination particles represent the most severe problem for the tribological integrity of magnetic recording disk drives.