Non‐linear structural membranes and ropes based on Tangential Differential Calculus

The finite strain theory for ropes and membranes is reformulated in the frame of the Tangential Differential Calculus (TDC) resulting in a unification in a geometrical, mechanical, and numerical sense. The resulting formulation applies to parametric and implicit geometry definitions of ropes and mem...

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Bibliographic Details
Published in:Proceedings in applied mathematics and mechanics 2021-01, Vol.20 (1), p.n/a
Main Authors: Fries, Thomas-Peter, Schöllhammer, Daniel
Format: Article
Language:English
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Summary:The finite strain theory for ropes and membranes is reformulated in the frame of the Tangential Differential Calculus (TDC) resulting in a unification in a geometrical, mechanical, and numerical sense. The resulting formulation applies to parametric and implicit geometry definitions of ropes and membranes. In contrast to classical theories, the formulation is suitable not only to the Surface FEM but also to recent Trace and Cut FEMs.
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.202000045