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- Title
Shape equations for two-dimensional manifolds with nonempty boundary based on a variational method.
- Authors
Bracken, Paul
- Abstract
A smooth surface is considered which has a curved boundary. A system of exterior differential forms is introduced which describes the surface and boundary curves completely in the moving frame approach. A total free energy functional is defined based on these forms for which an equilibrium equation and boundary conditions of the surface are derived by calculating the variation of the total free energy. These results can be applied to a surface with several freely exposed edges.
- Subjects
DIFFERENTIAL forms; EXTERIOR differential systems; EQUATIONS; MANIFOLDS (Mathematics); GEOMETRIC shapes
- Publication
International Journal of Geometric Methods in Modern Physics, 2020, Vol 17, Issue 6, pN.PAG
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887820500826