1. On the geometry of surface stress.
- Author
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Rossi, G. C. and Testa, M.
- Subjects
- *
LAPLACE-Young law , *DEFORMATIONS (Mechanics) , *TENSOR algebra , *EUCLIDEAN geometry , *MATHEMATICAL models - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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