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 |
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| Title of host publication | Proceedings in Applied Mathematics and Mechanics |
| Publisher | Wiley |
| Number of pages | 2 |
| Volume | 19,1 |
| DOIs | |
| 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 |
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| Country | Austria |
| City | Vienna |
| Period | 18/02/19 → 22/02/19 |
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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