Rigorous code verification for non-linear Kirchhoff–Love shells based on tangential differential calculus with application to Isogeometric Analysis

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

Abstract

In order to ensure the reliability of a numerical simulation software, verification and validation are unavoidable tasks. In this paper, we present a new rigorous code verification strategy based on manufactured solutions for the static analysis of geometrically non-linear Kirchhoff–Love shells and apply it to Isogeometric Analysis (IGA). While IGA is based on a parametric surface description, we advocate to base the manufactured solutions on a parametrization-free formulation. To this end the governing equations in strong form are derived based on first principles of continuum mechanics using tangential differential calculus (TDC). This formulation bypasses the need of a parametrization. Therefore, the code verification and the IGA are decoupled, which makes the verification more rigorous. A second advantage of the circumvention of a parametrization are simpler and more stable to evaluate resulting forcing functions. The proposed code verification is performed for several examples and optimal convergence rates are obtained.

Originalspracheenglisch
Aufsatznummer104041
Seitenumfang18
FachzeitschriftFinite Elements in Analysis and Design
Jahrgang227
DOIs
PublikationsstatusVeröffentlicht - 1 Dez. 2023

ASJC Scopus subject areas

  • Analyse
  • Allgemeiner Maschinenbau
  • Computergrafik und computergestütztes Design
  • Angewandte Mathematik

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