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Construction of discrete shell models by geometric finite differences
- In the presented work, we make use of the strong reciprocity between kinematics and geometry to build a geometrically nonlinear, shearable low order discrete shell model of Cosserat type defined on triangular meshes, from which we deduce a rotation–free Kirchhoff type model with the triangle vertex positions as degrees of freedom. Both models behave physically plausible already on very coarse meshes, and show good convergence properties on regular meshes. Moreover, from the theoretical side, this deduction provides a common geometric framework for several existing models.
Author: | C. Weischedel, A. Tuganov, T. Hermansson, J. Linn, M. Wardetzky |
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URN: | urn:nbn:de:hbz:386-kluedo-33227 |
Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (220) |
Document Type: | Report |
Language of publication: | English |
Date of Publication (online): | 2012/10/11 |
Year of first Publication: | 2012 |
Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
Date of the Publication (Server): | 2012/10/11 |
Page Number: | [23] |
Faculties / Organisational entities: | Fraunhofer (ITWM) |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vom 10.09.2012 |