Friction and deformation of nylon. II. Theoretical

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Abstract
It was concluded in the preceding paper that there was a significant difference between the indices m and n in the expression A = βWm and F = αWn by which the contact area A and the friction F were found to be related to the load W when nylon 610 slid on glass. A discussion of published adhesion theories of the friction of elastic bodies shows that the difference n – m is too small to be attributed to roughness of the nylon surface. It is concluded that under the contact pressures used the nylon surface was effectively smooth and that the friction of a unit area of “true” (i.e., molecular) contact between nylon and glass increased with pressure P as about P1/4. A theoretical treatment is given of the dependence of friction on load for a rough‐surfaced elastic body which covers the load range in which the surface asperities become completely flattened. It is shown that from measurements of the elastic properties of the body and feasible measurements of its surface texture one can estimate the load at which the dependence of friction on load changes from that for a rough to that for a smooth surface. Comparison with a published experiment is satisfactory.

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