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Abstract
Mixed 4-node shell elements with the drilling rotation and Cosserat-type strain measures based onthe three-field Hu–Washizu principle are proposed. In the formulation, apart from displacement and rotationfields, both strain and stress resultant fields are treated as independent. The elements are derived in the frame-work of a general nonlinear 6-parameter shell theory dedicated to the analysis of multifold irregular shells.The novelty of the developed elements stems from the fact that the measures of assumed strains and stressresultants are asymmetric. The original interpolation of drilling and bending components of strains and stressresultants is proposed. In the formulation of new mixed elements, two variants of the interpolation of membranecomponents are used and interpolation of the independent fields is defined in the natural or skew coordinates.Accuracy and efficiency of the developed elements are tested in several linear and nonlinear numerical exam-ples. It is shown that smaller number of independent parameters in the interpolation of membrane componentsgives more accurate results. The proposed mixed 4-node elements enable the use of large load steps in non-linear computations. Moreover, they require significantly less equilibrium iterations than other shell elementsformulated in the 6-parameter shell theory.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
CONTINUUM MECHANICS AND THERMODYNAMICS
no. 31,
pages 1757 - 1784,
ISSN: 0935-1175 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Daszkiewicz K., Witkowski W., Burzyński S., Chróścielewski J.: Robust four-node elements based on Hu–Washizu principle for nonlinear analysis of Cosserat shells// CONTINUUM MECHANICS AND THERMODYNAMICS. -Vol. 31, (2019), s.1757-1784
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00161-019-00767-1
- Sources of funding:
- Verified by:
- Gdańsk University of Technology
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