A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation

In this paper, a weak form quadrature element formulation of a geometrically nonlinear shell model is proposed and applied for analysis of laminated composite shell structures. Thickness stretch parameters of the shell are incorporated for introducing 3D constitutive relations in the formulation. A...

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Bibliographic Details
Published inActa mechanica Vol. 231; no. 5; pp. 1685 - 1709
Main Authors Zhang, Run, Zhong, Hongzhi, Yao, Xiaohu, Han, Qiang
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.05.2020
Springer
Springer Nature B.V
Subjects
Analysis
Classical and Continuum Physics
Composite structures
Constitutive relationships
Control
Drilling
Drilling and boring
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Heat and Mass Transfer
Lagrange multiplier
Laminated materials
Locking
Original Paper
Quadratures
Rotation
Shells (structural forms)
Solid Mechanics
Theoretical and Applied Mechanics
Thickness
Vibration
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Summary:In this paper, a weak form quadrature element formulation of a geometrically nonlinear shell model is proposed and applied for analysis of laminated composite shell structures. Thickness stretch parameters of the shell are incorporated for introducing 3D constitutive relations in the formulation. A drilling rotation constraint on the basis of polar decomposition of a modified deformation gradient is enforced by the Lagrange multiplier method and employed for implementing spatial finite rotations. The present formulation is shown to be feasible to model complex structures and circumvent locking problems naturally. A series of numerical benchmark examples are presented to demonstrate the validity of the formulation.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-019-02606-5