Substrate Curvature Resulting from the Capillary Forces of a Liquid Drop

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Entry by Emily Redston, AP 226, Spring 2012

Work in Progress


Substrate curvature resulting from the capillary forces of a liquid drop by F. Spaepen. J. Mech. Phys. Solids 44, 675 – 681 (1996)


surface tension, interface stress, Young's equation, curvature


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