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Modeling of a Reissner-type plate theory for monoclinic material

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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