An evaluation of geometrical nonlinear effects of thin and moderately thick multilayered composite shells

A review is made of the different approaches used for modeling multilayered composite shells. Discussion focuses on different approaches for developing two-dimensional shear deformation theories; classification of two-dimensional theories based on introducing plausible displacement, strain and/or stress assumptions in the thickness direction; first-order shear deformation theories based on linear displacement assumptions in the thickness coordinate; and efficient computational strategies for anisotropic composite shells. Extensive numerical results are presented showing the effects of variation in the lamination and geometric parameters of simply supported composite cylinders on the accuracy of the static and vibrational responses predicted by eight different modeling approaches (based on two-dimensional shear deformation theories). The standard of comparison is taken to be the exact three-dimensional elasticity solutions. The quantities compared include both the gross response characteristics (eg, vibration frequencies and strain energy components); and detailed, through-the-thickness distributions of displacements, stresses, and strain energy densities. Some of the future directions for research on the modeling of multilayered composite shells are outlined.

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Limiting state of multilayered composite shells

Mechanics of Composite Materials ◽

10.1007/bf00608141 ◽

1989 ◽

Vol 24 (4) ◽

pp. 553-557 ◽

Cited By ~ 1

Author(s):

I. G. Teregulov ◽

�. S. Sibgatullin ◽

O. A. Markin

Keyword(s):

Composite Shells ◽

Limiting State ◽

Multilayered Composite

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On the role of large cross-sectional deformations in the nonlinear analysis of composite thin-walled structures

Archive of Applied Mechanics ◽

10.1007/s00419-020-01843-8 ◽

2020 ◽

Author(s):

E. Carrera ◽

A. Pagani ◽

R. Augello

Keyword(s):

Composite Structures ◽

Laminated Composite ◽

Nonlinear Effects ◽

Higher Order ◽

Cross Sectional ◽

Thin Walled Structures ◽

Static Responses ◽

Geometrical Nonlinear ◽

Thin Walled ◽

The Cross

AbstractThe geometrical nonlinear effects caused by large displacements and rotations over the cross section of composite thin-walled structures are investigated in this work. The geometrical nonlinear equations are solved within the finite element method framework, adopting the Newton–Raphson scheme and an arc-length method. Inherently, to investigate cross-sectional nonlinear kinematics, low- to higher-order theories are employed by using the Carrera unified formulation, which provides a tool to generate refined theories of structures in a systematic manner. In particular, beams and shell-like laminated composite structures are analyzed using a layerwise approach, according to which each layer has its own independent kinematics. Different stacking sequences are analyzed, to highlight the influence of the cross-ply angle on the static responses. The results show that the geometrical nonlinear effects play a crucial role, mainly when higher-order theories are utilized.

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