%0 Journal Article
%T On the Geometry of Surface Stress
%A G. C. Rossi
%A M. Testa
%J Physics
%D 2013
%I arXiv
%R 10.1063/1.4862143
%X We present a fully general derivation of the Laplace--Young formula and discuss the interplay between the intrinsic surface geometry and the extrinsic one ensuing from the immersion of the surface in the ordinary euclidean three-dimensional space. We prove that the (reversible) work done in a general surface deformation can be expressed in terms of the surface stress tensor and the variation of the intrinsic surface metric.
%U http://arxiv.org/abs/1309.5878v1