# 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 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>