Non-linear structural membranes and ropes based on tangential differential calculus

Thomas Peter Fries; Daniel Schöllhammer

doi:10.1002/pamm.202000045

Non-linear structural membranes and ropes based on tangential differential calculus

Thomas Peter Fries, Daniel Schöllhammer

Institut für Baustatik (2020)

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

Abstract

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

Originalsprache	englisch
Titel	Proceedings in Applied Mathematics and Mechanics
Untertitel	Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Band	20,1
DOIs	https://doi.org/10.1002/pamm.202000045
Publikationsstatus	Veröffentlicht - 25 Jan. 2021
Veranstaltung	91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics: GAMM 2021 - Kassel, Virtuell, Deutschland Dauer: 15 März 2021 → 19 März 2021 https://jahrestagung.gamm-ev.de/jahr2020-2021/annual-meeting/

Konferenz

Konferenz	91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics
Kurztitel	GAMM 2021
Land/Gebiet	Deutschland
Ort	Virtuell
Zeitraum	15/03/21 → 19/03/21
Anderes	GAMM Jahrestagung 2021
Internetadresse	https://jahrestagung.gamm-ev.de/jahr2020-2021/annual-meeting/

Fields of Expertise

Information, Communication & Computing

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10.1002/pamm.202000045Lizenz: CC BY-NC-ND 4.0

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Non-linear structural membranes and ropes based on tangential differential calculus. / Fries, Thomas Peter; Schöllhammer, Daniel.
Proceedings in Applied Mathematics and Mechanics: Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Band 20,1 2021. e202000045.

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

Fries, TP & Schöllhammer, D 2021, Non-linear structural membranes and ropes based on tangential differential calculus. in Proceedings in Applied Mathematics and Mechanics: Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Bd. 20,1, e202000045, 91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Virtuell, Deutschland, 15/03/21. https://doi.org/10.1002/pamm.202000045

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abstract = "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",

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year = "2021",

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AB - 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

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Non-linear structural membranes and ropes based on tangential differential calculus

Abstract

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