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arXiv · 1309.5878

On the Geometry of Surface Stress

G. C. Rossi·M. Testa
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Abstract

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.

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G. C. Rossi, M. Testa. 2013-09-19. On the Geometry of Surface Stress. https://doi.org/10.1063/1.4862143

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