# Difference between revisions of "Substrate Curvature Resulting from the Capillary Forces of a Liquid Drop"

From Soft-Matter

Line 6: | Line 6: | ||

==Keywords== | ==Keywords== | ||

− | + | [[surface tension]], [[interface stress]], [[Young's equation]], [[curvature]] | |

==Introduction== | ==Introduction== | ||

+ | We typically characterize the surface of a solids using two thermodynamic quantities: | ||

+ | *surface tension <math>\gamma</math>, which is a scalar equal to the work required to create a unit area of new interface and constant strain in the solid | ||

+ | *surface stress <math>f_{ij}</math>, which is a 2x2 tensor defined such that the surface work require to strain a unit surface elastically by <math>d {\epsilon}_{ij}</math> is <math>f_{ij} d {\epsilon}_{ij}</math> |

## Revision as of 16:55, 19 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 a solids using two thermodynamic quantities:

- surface tension <math>\gamma</math>, which is a scalar equal to the work required to create a unit area of new interface and constant strain in the solid
- surface stress <math>f_{ij}</math>, which is a 2x2 tensor defined such that the surface work require to strain a unit surface elastically by <math>d {\epsilon}_{ij}</math> is <math>f_{ij} d {\epsilon}_{ij}</math>