Substrate Curvature Resulting from the Capillary Forces of a Liquid Drop
From Soft-Matter
Entry by Emily Redston, AP 226, Spring 2012
Work in Progress
Reference
Substrate curvature resulting from the capillary forces of a liquid drop by F. Spaepen. J. Mech. Phys. Solids 44, 675 – 681 (1996)
Keywords
surface tension, interface stress, Young's equation, curvature
Introduction
We typically characterize the surface of solids using two thermodynamic quantities:
- surface (or interface) tension <math>\gamma</math>, which is a scalar quantity equal to the work required to create a unit area of new interface at constant strain in the solid
- surface (or interface) stress <math>f_{ij}</math>, which is a 2x2 tensor defined such that the surface work required to strain a unit surface elastically by <math>d {\epsilon}_{ij}</math> is <math>f_{ij} d {\epsilon}_{ij}</math>
In this paper, Spaepen illustrates the difference between these two quantities by considering a hemispherical liquid drop on a solid surface.
