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 a solids using two thermodynamic quantities:
+
We typically characterize the surface of 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 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>
 
*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 16:56, 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 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>