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Research Papers: Contact Mechanics

# Impact of a Fixed-Length Rigid Cylinder on an Elastic-Plastic Homogeneous Body

[+] Author and Article Information
Raja R. Katta

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Andreas A. Polycarpou1

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801polycarp@illinois.edu

1

Corresponding author. Present address: 140 Mechanical Engineering Building, MC-244, 1206 West Green Street, Urbana, IL 61801.

J. Tribol 132(4), 041402 (Oct 01, 2010) (11 pages) doi:10.1115/1.4002331 History: Received November 18, 2009; Revised July 30, 2010; Published October 01, 2010; Online October 01, 2010

## Abstract

A contact mechanics (CM) based model of a fixed-length rigid cylinder impacting a homogeneous elastic-plastic homogeneous body was developed and includes an improved method of estimating the residual depth after impact. The nonlinear elastic behavior during unloading was accounted for to develop an improved coefficient of restitution model. The impact model was applied to study a practical case of a cylindrical feature on the slider of a magnetic storage hard disk drive impacting the disk to predict various critical impact contact parameters. The CM model was validated using a plane strain finite element model and it was found that a cylindrical feature with a longer length results in a substantial alleviation of impact damage.

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## Figures

Figure 1

Unloaded contact region with a crater of half-contact width ar and radius R′ assuming no pile-up or sink-in

Figure 2

Comparison between elastic and elastic-plastic CM impact models. Penetration of cylinder into homogeneous disk during impact (Table 1 material properties): (a) R=2 μm, L/R=10, and Vy=1 m/s and (b) R=10 μm, L/R=100, and Vy=5 m/s.

Figure 3

Impact contact parameters using the CM model at various impact velocities and cylinder radii when L/R=10: (a) maximum penetration, (b) residual depth, (c) impact duration, and (d) maximum mean contact pressure

Figure 4

Impact contact parameters using the CM model at a larger range of impact velocities and cylinder radii when L/R=100: (a) maximum penetration, (b) residual depth, (c) impact duration, and (d) maximum mean contact pressure

Figure 5

Typical P-δ curve obtained during cylinder contact. The dashed line indicates the unloading (rebound) curve shifted to the origin.

Figure 6

CM-based coefficient of restitution for normal impact ey: (a) L/R=10, (b) L/R=10 (larger range), and (c) L/R=100

Figure 7

Finite element model showing the mesh configuration used for the cylinder impact analysis

Figure 8

FEA maximum von Mises stress for R=10 μm, Vy=1 m/s during (a) normal impact and (b) oblique impact (Vx=10 m/s). Units in GPa.

Figure 9

FEA penetration depths for R=10 μm, Vy=1 m/s during normal impact: (a) maximum penetration and (c) residual penetration; during oblique impact (Vx=10 m/s): (b) maximum penetration and (d) residual penetration. Units in μm

Figure 10

FEA versus CM impact model penetration depth comparison for L/R=10: (a) maximum penetration and (c) residual depth; for L/R=100: (b) maximum penetration and (d) residual depth

Figure 11

Normal impact FEA versus impact model coefficient of restitution comparison ey for R=10 μm: (a)L/R=10 and (b)L/R=100

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