Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
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We develop a finite element method for a large deformation membrane elasticity problem on meshed curved surfaces using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The method is also applied to form finding problems.
KeywordsCurved membrane Tangential derivative Finite element method Form finding
This research was supported in part by the Swedish Foundation for Strategic Research Grant No. AM13-0029 and the Swedish Research Council Grants No. 2011-4992 and No. 2013-4708.
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