# Research

Current Research |
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Meshing highly regular structures: the case of super carbon nanotubes of arbitrary order. |

The Logarithmic finite element method: Shape functions defined on the logarithmic space. |

The coupling of atomistic and continuum models within the same numerical simulation is essential to study the mechanical behavior of complex materials and structures. |

Carbon nanotubes (CNT) have excellent mechanical behavior and are favored for the construction of bottom-up structures. |

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The mechanical behavior of shell-like nanostructures, such as carbon nanotubes (CNT) can be described within the continuum mechanics by a generalization of the Cauchy-Born (CB) rule. |

Geometric construction of self-similar carbon nanotube-based structures based on non-linear transformations of scalable base elements. |

Zur Beurteilung von klassischen und modernen Zeitintegrationsverfahren in der Molekulardynamik anhand strukturdynamischer Untersuchungen – Beispiele: „pumpender“ Buckyball und axial schwingendes Kohlenstoffnanoröhrchen. |

In molecular mechanics, the formalism of the finite element method can be exploited in order to analyze the behavior of atomic structures in a computationally efficient way. |

On a concept to avoid electromechanical locking in a piezoelectric finite beam element. |

Development of a finite shell element to compute the complete three-dimensional stress state in layered composite shell structures. |

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A general numerical method for the analysis of prismatic laminated thin-walled beams. |

Completed Projects |
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Nonlinear Hu-Washizu variational formulation for beams with arbitrary shaped cross-sections. |

A mixed hybrid finite beam element with an interface to arbitrary three-dimensional material models. |

Efficient finite element formulation for the analysis of localized failure in beam structures. |

Theoretical and numerical contributions for the description of localization phenomena in structural mechanics. |

Algorithm for the analysis of rigid body motions of spatial beam structures. |