Abstract
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.
Authors and Affiliations
- C. Weischedel, Fraunhofer Institute for Industrial Mathematics, Kaiserslautern, Germany and Department for applied and numerical mathematics, Universität Göttingen, Göttingen, Germany
- A. Tuganov, Fraunhofer Institute for Industrial Mathematics, Kaiserslautern, Germany
- T. Hermansson, Fraunhofer-Chalmers Center Industrial Mathematics, Gothenburg, Sweden
- J. Linn, Fraunhofer Institute for Industrial Mathematics, Kaiserslautern, Germany
- M. Wardetzky, Department for applied and numerical mathematics, Universität Göttingen, Göttingen, Germany