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The Effect of Dwell Time on the Static Friction in Creeping Elastic–Plastic Polymer Spherical Contact

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Abstract

A theoretical model is developed to study the effect of dwell time on the junction growth and static friction of a creeping polymer sphere in contact with a rigid flat under full stick contact condition. A rapid normal loading into the elastic–plastic contact regime is followed by a rest period during which creep takes place causing contact area growth, and stress relaxation that can completely eliminate the plastic zone in the sphere. At the end of this rest time, an increasing tangential loading is applied to the flat till sliding inception occurs. During this loading step, further increase of the contact area and reappearing of a plastic zone in the sphere take place. An increase in static friction resulting from the dwell time during the creep stage is clearly demonstrated and explained.

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Abbreviations

A :

Contact area

C1, C2, C3, C4:

Modified time hardening parameters

d :

Diameter of contact area

E :

Young’s modulus of the sphere

K T :

Tangential stiffness

\( K_{\text{T}}^{*} \) :

Dimensionless tangential stiffness \( K_{\text{T}} \omega_{0} /P \)

L c :

Critical normal load for full stick contact condition

P :

Normal load

P*:

Dimensionless normal load P/L c

Q :

Tangential load

Q*:

Dimensionless tangential load Q/L c

R :

Radius of the sphere

t :

Dwell time

u x :

Tangential displacement of the flat

\( u_{x}^{*} \) :

Dimensionless tangential displacement u x /ω 0

x, y, z :

Cartesian coordinates

δ c :

Critical interference for full stick contact condition

ɛ :

Equivalent von Misses strain

μ :

Static friction coefficient

ν :

Poisson’s ratio of the sphere

σ :

Equivalent von Misses stress

σ Y :

Yield stress

ω :

Normal interference

0:

At t = 0

c:

Critical value for first plastic yield under normal load

cr:

Creep component

max:

At sliding inception

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technion, Haifa, 32000, Israel

    S. Malamut, Y. Kligerman & I. Etsion

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  1. S. Malamut
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  2. Y. Kligerman
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  3. I. Etsion
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Correspondence to I. Etsion.

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Malamut, S., Kligerman, Y. & Etsion, I. The Effect of Dwell Time on the Static Friction in Creeping Elastic–Plastic Polymer Spherical Contact. Tribol Lett 35, 159–170 (2009). https://doi.org/10.1007/s11249-009-9445-3

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  • DOI: https://doi.org/10.1007/s11249-009-9445-3

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