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Elastic moduli in monolayers

Tschoegl, N. W. (1958) Elastic moduli in monolayers. Journal of Colloid Science, 13 (5). pp. 500-507. ISSN 0095-8522. doi:10.1016/0095-8522(58)90058-8.

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The surface elastic moduli are the two-dimensional analogs of the elastic moduli in three dimensions. Experimental methods are reviewed briefly, and it is shown that Fourt's "elasticity index" for an oscillating vane or needle is dimensionally incorrect, whereas the formula proposed by Trapeznikov for an oscillating disk or ring is correct and can be derived exactly by regarding the film as an elastic annulus sheared in its own plane. A dimensionally correct formula is proposed for an oscillating needle as well as for an aperiodic needle type surface torsion pendulum. The relationships between the four two-dimensional elastic constants of homogeneous isotropic films are derived and are shown to be different from the three-dimensional formulas. The maximal value of the surface Poisson's ratio is unity instead of one half.

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Additional Information:Copyright © 1958 Published by Elsevier Inc. This work was carried out as part of a research project on the surface chemistry of wheat proteins.
Issue or Number:5
Record Number:CaltechAUTHORS:20141117-162200161
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51875
Deposited By: Donna Wrublewski
Deposited On:18 Nov 2014 17:10
Last Modified:10 Nov 2021 19:17

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