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Geometrically nonlinear FEM analysis of 6-parameter resultant shell theory based on 2-D Cosserat constitutive model
Abstract
We develop the elastic constitutive law for the resultant statically and kinematically exact, nonlinear, 6-parameter shell theory. The Cosserat plane stress equations are integrated through-the- thickness under assumption of the Reissner-Mindlin kinematics. The resulting constitutive equations for stress resultant and couple resultants are expressed in terms of two micropolar constants: the micropolar modulus Gc and the micropolar characteristic length l. Based on FEM simulations we evaluate their influence on the behaviour of shell models in the geometrically nonlinear range of deformations.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1002/zamm.201400092
- License
- Copyright (2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
no. 96,
edition 2,
pages 191 - 204,
ISSN: 0044-2267 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Burzyński S., Chróścielewski J., Witkowski W.: Geometrically nonlinear FEM analysis of 6-parameter resultant shell theory based on 2-D Cosserat constitutive model// ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. -Vol. 96, iss. 2 (2015), s.191-204
- DOI:
- Digital Object Identifier (open in new tab) 10.1002/zamm.201400092
- Verified by:
- Gdańsk University of Technology
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