Reissner-Mindlin shell theory based on Tangential Differential Calculus

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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 languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
PublisherWiley
Number of pages2
Volume19,1
DOIs
Publication statusPublished - 2019
EventGAMM 2019: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - Vienna, Austria
Duration: 18 Feb 201922 Feb 2019

Conference

ConferenceGAMM 2019
CountryAustria
CityVienna
Period18/02/1922/02/19

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Fields of Expertise

  • Information, Communication & Computing

Cite this

Schöllhammer, D., & Fries, T. P. (2019). Reissner-Mindlin shell theory based on Tangential Differential Calculus. In Proceedings in Applied Mathematics and Mechanics (Vol. 19,1). [e201900099] Wiley. https://doi.org/10.1002/pamm.201900099