Reissner-Mindlin shell theory based on Tangential Differential Calculus

Daniel Schöllhammer; Thomas Peter Fries

doi:10.1002/pamm.201900099

Reissner-Mindlin shell theory based on Tangential Differential Calculus

Daniel Schöllhammer, Thomas Peter Fries

Institut für Baustatik (2020)

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

Abstract

We propose a reformulation of the linear Reissner–Mindlin shell theory in terms of tangential differential calculus. An advantage of our approach is that shell analysis on implicitly defined surfaces is enabled and a parametrization of the surface is not required. In addition, the implementation is more compact and intuitive compared to the classical approach. The numerical results confirm, that this approach is equivalent to the classical theory based on local coordinates.

Originalsprache	englisch
Titel	Proceedings in Applied Mathematics and Mechanics
Herausgeber (Verlag)	Wiley
Seitenumfang	2
Band	19,1
DOIs	https://doi.org/10.1002/pamm.201900099
Publikationsstatus	Veröffentlicht - 2019
Veranstaltung	90th Annual Meeting of the International Association of Applied Mathematics and Mechanics: GAMM 2019 - Vienna, Österreich Dauer: 18 Feb. 2019 → 22 Feb. 2019

Konferenz

Konferenz	90th Annual Meeting of the International Association of Applied Mathematics and Mechanics
Land/Gebiet	Österreich
Ort	Vienna
Zeitraum	18/02/19 → 22/02/19
Anderes	90. GAMM Tagung

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title = "Reissner-Mindlin shell theory based on Tangential Differential Calculus",

abstract = "We propose a reformulation of the linear Reissner–Mindlin shell theory in terms of tangential differential calculus. An advantage of our approach is that shell analysis on implicitly defined surfaces is enabled and a parametrization of the surface is not required. In addition, the implementation is more compact and intuitive compared to the classical approach. The numerical results confirm, that this approach is equivalent to the classical theory based on local coordinates.",

author = "Daniel Sch{\"o}llhammer and Fries, {Thomas Peter}",

year = "2019",

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language = "English",

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T1 - Reissner-Mindlin shell theory based on Tangential Differential Calculus

AU - Schöllhammer, Daniel

AU - Fries, Thomas Peter

PY - 2019

Y1 - 2019

N2 - We propose a reformulation of the linear Reissner–Mindlin shell theory in terms of tangential differential calculus. An advantage of our approach is that shell analysis on implicitly defined surfaces is enabled and a parametrization of the surface is not required. In addition, the implementation is more compact and intuitive compared to the classical approach. The numerical results confirm, that this approach is equivalent to the classical theory based on local coordinates.

AB - We propose a reformulation of the linear Reissner–Mindlin shell theory in terms of tangential differential calculus. An advantage of our approach is that shell analysis on implicitly defined surfaces is enabled and a parametrization of the surface is not required. In addition, the implementation is more compact and intuitive compared to the classical approach. The numerical results confirm, that this approach is equivalent to the classical theory based on local coordinates.

U2 - 10.1002/pamm.201900099

DO - 10.1002/pamm.201900099

M3 - Conference paper

VL - 19,1

BT - Proceedings in Applied Mathematics and Mechanics

PB - Wiley

T2 - 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics

Y2 - 18 February 2019 through 22 February 2019

ER -

Reissner-Mindlin shell theory based on Tangential Differential Calculus

Abstract

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