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Large deformations of viscoelastic squeeze films

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Abstract

The large deformation behavior of a viscoelastic squeeze film being compressed or extended between two parallel circular plates is studied from a Lagrangian viewpoint. A single integro-differential equation is shown to govern the flow of a rubberlike liquid in this geometry, and the solution is compared with results for a Newtonian squeeze film. Instantaneous solid-like response, small amplitude oscillations, and creep-recovery calculations are presented.

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Abbreviations

2a :

instantaneous plate separation

2a 0 :

initial plate separation

F :

applied force

d:

dimensionless force defined by (40)

f, g :

kinematic variables defined by (5c) and (5a)

R :

plate radius

r, θ, z :

cylindrical coordinates

r 0, θ 0, z 0 :

convected coordinates

t :

present time

γ ij :

contravariant body metric tensor

γij :

covariant body metric tensor

η :

viscosity

μ :

memory function

π ij :

contravariant components of the stress tensor

τ :

past time

′:

denotes ∂/∂z 0

References

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Author notes

  1. J. M. Kramer

    Present address: Lamar Univ., Beaumont, Texas, USA

Authors and Affiliations

  1. Chem. Eng. Dep. and Rheology Res. Center, Univ. of Wisconsin, Madison, Wisconsin, USA

    J. M. Kramer

Authors
  1. J. M. Kramer
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Kramer, J.M. Large deformations of viscoelastic squeeze films. Appl. Sci. Res. 30, 1–16 (1974). https://doi.org/10.1007/BF00385772

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  • DOI: https://doi.org/10.1007/BF00385772

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