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**Schneider, P. and Kienzler, R.** (2018):

*Modeling of a Reissner-type plate theory for monoclinic material.*

In: 21st International Conference on Composite Structures (ICCS), Bologna, Italy, 4. - 7. September 2018, [Conference or Workshop Item]

## Abstract

First a hierarchy of monoclinic plate theories is derived using the a-priori-assumption free uniform-approximation approach, which is based upon a structured truncation of the elastic potential. An a-priori estimate proves that the so-derived higher-order theories have indeed a higher rate of convergence with respect to the relative thickness of the plate. By the use of a pseudo-reduction approach the number of PDEs to be solved is reduced significantly. The pseudo-reduced first-order theory turns out to be the classical monoclinic plate theory, whereas, the second-order theory is not determined uniquely by the approach. Uniqueness can be achieved by the introduction of an orthogonal decomposition of higher-order gradients of the in-plane displacement. The final second-order monoclinic plate theory coincides with the Reissner-Mindlin theory for the special case of isotropic material.

Item Type: | Conference or Workshop Item |
---|---|

Erschienen: | 2018 |

Creators: | Schneider, P. and Kienzler, R. |

Title: | Modeling of a Reissner-type plate theory for monoclinic material |

Language: | English |

Abstract: | First a hierarchy of monoclinic plate theories is derived using the a-priori-assumption free uniform-approximation approach, which is based upon a structured truncation of the elastic potential. An a-priori estimate proves that the so-derived higher-order theories have indeed a higher rate of convergence with respect to the relative thickness of the plate. By the use of a pseudo-reduction approach the number of PDEs to be solved is reduced significantly. The pseudo-reduced first-order theory turns out to be the classical monoclinic plate theory, whereas, the second-order theory is not determined uniquely by the approach. Uniqueness can be achieved by the introduction of an orthogonal decomposition of higher-order gradients of the in-plane displacement. The final second-order monoclinic plate theory coincides with the Reissner-Mindlin theory for the special case of isotropic material. |

Divisions: | 16 Department of Mechanical Engineering 16 Department of Mechanical Engineering > Institute for Lightweight Construction and Design (KluB) |

Event Title: | 21st International Conference on Composite Structures (ICCS) |

Event Location: | Bologna, Italy |

Event Dates: | 4. - 7. September 2018 |

Date Deposited: | 21 Nov 2019 12:21 |

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