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A Microscopic Finite Element Model of Shoe–Floor Hysteresis and Adhesion Friction

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Abstract

Few efforts have attempted to model the tribological interaction of shoe–floor contacting surfaces despite high prevalence of slipping accidents. Hysteresis and adhesion are the two main contributing mechanisms in shoe–floor friction at the microscopic asperity level. This study developed a three-dimensional microscopic finite element model of shoe–floor surfaces to quantify the effect of surface topography, shoe material properties and sliding speed on hysteresis and adhesion friction. The validity of the model was assessed by comparing model predictions to pin-on-disk experimental data. The model predicts that hysteresis friction increases for harder shoe materials, rougher shoe surfaces and rougher floor surfaces, while adhesion increases for smoother shoe surfaces, smoother floor surfaces and decreasing sliding speed. The effects of shoe material and floor roughness on the predicted hysteresis friction values were consistent with the experimental data. The effects of sliding speed on adhesion friction were moderately consistent with the experimental data. In addition, the predicted hysteresis magnitudes were consistent with experimental data. This model is a significant step toward development of a comprehensive shoe–floor friction model.

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Abbreviations

A c :

Real contact area

COFAdhesion :

Coefficient of friction due to adhesion

COFHysteresis :

Coefficient of friction due to hysteresis

E(t):

Variation of compressive modulus with respect to time

F Adhesion :

Friction force due to adhesion

F N :

Loading force normal to the surface

F Hysteresis :

Friction force due to hysteresis

G(t):

Variation of shear modulus with respect to time

R z :

Average peak-to-valley distance of surface profiles

Δ q :

Root mean square slope of surface profiles

υ :

Poisson’s ratio

σ s :

Interfacial true shearing stress required to break the contact junctions

τ :

Time constant of exponential decay in material properties

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Funding

This work was supported by funding from that National Institute of Occupational Safety and Health (NIOSH R01 OH008986).

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Authors and Affiliations

  1. Department of Bioengineering, University of Pittsburgh, Benedum Engineering Hall 302, 3700 O’Hara St., Pittsburgh, PA, 15261, USA

    Seyed Reza M. Moghaddam, Mark S. Redfern & Kurt E. Beschorner

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  1. Seyed Reza M. Moghaddam
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  2. Mark S. Redfern
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  3. Kurt E. Beschorner
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Correspondence to Kurt E. Beschorner.

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Moghaddam, S.R.M., Redfern, M.S. & Beschorner, K.E. A Microscopic Finite Element Model of Shoe–Floor Hysteresis and Adhesion Friction. Tribol Lett 59, 42 (2015). https://doi.org/10.1007/s11249-015-0570-x

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