Difference between revisions of "Substrate Curvature Resulting from the Capillary Forces of a Liquid Drop"
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==Introduction== | ==Introduction== | ||
We typically characterize the surface of solids using two thermodynamic quantities: | We typically characterize the surface of solids using two thermodynamic quantities: | ||
| − | *surface (or interface) tension <math>\gamma</math>, which is a scalar equal to the work required to create a unit area of new interface at constant strain in the solid | + | *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> | *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 | + | In this paper, Spaepen illustrates the difference between these two quantities by considering a hemispherical liquid drop on a solid surface. |
Revision as of 15:31, 21 April 2012
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.
