A C1-continuous Trace-Finite-Cell-Method for linear thin shell analysis on implicitly defined surfaces

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

A Trace-Finite-Cell-Method for the numerical analysis of thin shells is presented combining concepts of the TraceFEM and the Finite-Cell-Method. As an underlying shell model we use the Koiter model, which we re-derive in strong form based on first principles of continuum mechanics by recasting well-known relations formulated in local coordinates to a formulation independent of a parametrization. The field approximation is constructed by restricting shape functions defined on a structured background grid on the shell surface. As shape functions we use on a background grid the tensor product of cubic splines. This yields C1-continuous approximation spaces, which are required by the governing equations of fourth order. The parametrization-free formulation allows a natural implementation of the proposed method and manufactured solutions on arbitrary geometries for code verification. Thus, the implementation is verified by a convergence analysis where the error is computed with an exact manufactured solution. Furthermore, benchmark tests are investigated.
Originalspracheenglisch
Seiten (von - bis)679-697
Seitenumfang19
FachzeitschriftComputational Mechanics
Jahrgang67
Ausgabenummer2
Frühes Online-Datum24 Dez 2020
PublikationsstatusVeröffentlicht - Feb 2021

ASJC Scopus subject areas

  • !!Computational Mathematics
  • !!Mechanical Engineering
  • !!Ocean Engineering
  • Angewandte Mathematik
  • !!Computational Mechanics
  • !!Computational Theory and Mathematics

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