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

Institute of Structural Analysis (2020)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper

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.

Original language	English
Title of host publication	Proceedings in Applied Mathematics and Mechanics
Publisher	Wiley
Number of pages	2
Volume	19,1
DOIs	https://doi.org/10.1002/pamm.201900099
Publication status	Published - 2019
Event	GAMM 2019: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - Vienna, Austria Duration: 18 Feb 2019 → 22 Feb 2019

Conference

Conference	GAMM 2019
Country	Austria
City	Vienna
Period	18/02/19 → 22/02/19

Fields of Expertise

Information, Communication & Computing

Access to Document

10.1002/pamm.201900099Licence: CC BY

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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",

doi = "10.1002/pamm.201900099",

language = "English",

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booktitle = "Proceedings in Applied Mathematics and Mechanics",

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note = "GAMM 2019 : 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics ; Conference date: 18-02-2019 Through 22-02-2019",

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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 - GAMM 2019

Y2 - 18 February 2019 through 22 February 2019

ER -