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Acta Mechanica

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30-01-2020 | Original Paper

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

Authors: Run Zhang, Hongzhi Zhong, Xiaohu Yao, Qiang Han

Published in: Acta Mechanica | Issue 5/2020

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Abstract

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.

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Title: A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation
Authors: Run Zhang
Hongzhi Zhong
Xiaohu Yao
Qiang Han
Publication date: 30-01-2020
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 5/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-019-02606-5

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

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