Numerical Treatment of a Geometrically Nonlinear Planar Cosserat Shell Model
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
We present a new way to discretize a geometrically nonlinear elastic planar Cosserat shell. The kinematical model is similar to the general six-parameter resultant shell model with drilling rotations. The discretization uses geodesic finite elements (GFEs), which leads to an objective discrete model which naturally allows arbitrarily large rotations. GFEs of any approximation order can be constructed. The resulting algebraic problem is a minimization problem posed on a nonlinear finite-dimensional Riemannian manifold. We solve this problem using a Riemannian trust-region method, which is a generalization of Newton’s method that converges globally without intermediate loading steps. We present the continuous model and the discretization, discuss the properties of the discrete model, and show several numerical examples, including wrinkling of thin elastic sheets in shear.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 817-841 |
Seitenumfang | 25 |
Fachzeitschrift | Computational Mechanics |
Jahrgang | 57 |
Ausgabenummer | 5 |
Publikationsstatus | Veröffentlicht - 2016 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 84957654695 |
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ORCID | /0000-0003-1093-6374/work/142250567 |
Schlagworte
Schlagwörter
- Cosserat shell, geodesic finite elements, wrinkling