A generalized formulation of classical shell models based on tangential differential calculus

Daniel Schöllhammer, Thomas Peter Fries

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


The Tangential Differential Calculus (TDC) enables the mathematical modeling of general physical phenomena on curved surfaces. Herein, it is applied to reformulate classical models for Kirchhoff-Love and Reissner-Mindlin shells. In contrast to the classical approach, the resulting models do not only apply to parametrized shell geometries but also to implicit ones. All mechanical quantities are defined in the 3D Euclidean coordinate system and no curvilinear coordinates are needed. In addition to classical shell analyses based on the standard FEM, the proposed formulation enables implicit shell analyses based
on recently proposed Cut FEM and Trace FEM, which attract a lot of attention lately
Original languageEnglish
Title of host publicationBerichte der Fachtagung Baustatik - Baupraxis 14
Subtitle of host publication23. und 24. März 2020, Universität Stuttgart
EditorsM. Bischoff, M. von Scheven, B. Oesterle
PublisherUniversität Stuttgart
ISBN (Electronic)978-3-00-064639-3
Publication statusPublished - 2020
Event14. Fachtagung Baustatik - Baupraxis - abgesagt, Germany
Duration: 23 Mar 202024 Mar 2020


Conference14. Fachtagung Baustatik - Baupraxis

Fields of Expertise

  • Information, Communication & Computing


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