Non-linear structural membranes and ropes based on tangential differential calculus

Thomas Peter Fries, Daniel Schöllhammer

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

Abstract

The finite strain theory for ropes and membranes is reformulated in the frame of the Tangential Differential Calculus (TDC) resulting in a unification in a geometrical, mechanical, and numerical sense. The resulting formulation applies to parametric and implicit geometry definitions of ropes and membranes. In contrast to classical theories, the formulation is suitable not only to the Surface FEM but also to recent Trace and Cut FEMs
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
Subtitle of host publicationSpecial Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Volume20,1
DOIs
Publication statusPublished - 25 Jan 2021
Event91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics: GAMM 2021 - Kassel, Virtuell, Germany
Duration: 15 Mar 202119 Mar 2021

Conference

Conference91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics
Abbreviated titleGAMM 2021
CountryGermany
CityVirtuell
Period15/03/2119/03/21

Fields of Expertise

  • Information, Communication & Computing

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