# 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 | + | *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) stress <math>f_{ij}</math>, which is a 2x2 tensor defined such that the surface work | + | *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 | + | In this paper, Spaepen illustrates the difference between these two quantities by considering a hemispherical liquid drop on a solid surface |

## Revision as of 15:30, 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 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