An improved shear deformation theory for laminated shells addressing transverse stress continuity

2001 ◽  
Author(s):  
Xu Zhou ◽  
Aditi Chattopadhyay
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Transverse Stress ◽  
Laminated Shells

A New Nonlinear Higher-Order Shear Deformation Theory for Nonlinear Vibrations of Laminated Shells

2010 ◽  
Author(s):  
M. Amabili ◽  
J. N. Reddy
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Nonlinear Vibrations ◽  
Circular Cylindrical Shell ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Curvilinear Coordinates ◽  
Geometrically Nonlinear ◽  
Geometric Imperfections ◽  
Laminated Shells

A consistent higher-order shear deformation nonlinear theory is developed for shells of generic shape; taking geometric imperfections into account. The geometrically nonlinear strain-displacement relationships are derived retaining full nonlinear terms in the in-plane displacements; they are presented in curvilinear coordinates in a formulation ready to be implemented. Then, large-amplitude forced vibrations of a simply supported, laminated circular cylindrical shell are studied (i) by using the developed theory, and (ii) keeping only nonlinear terms of the von Ka´rma´n type. Results show that inaccurate results are obtained by keeping only nonlinear terms of the von Ka´rma´n type for vibration amplitudes of about two times the shell thickness for the studied case.

scholarly journals Free vibration characteristics of thick doubly curved variable stiffness composite laminated shells using higher-order shear deformation theory

2018 ◽  
Vol 172 ◽  
pp. 03010 ◽  
Author(s):  
Anand Venkatachari ◽  
K. Ramajeyathilagam
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Variable Stiffness ◽  
Mode Shapes ◽  
Laminated Shells ◽  
Surface Displacements ◽  
Edge Conditions ◽  
Geometric Variables

In the present work, the natural frequencies of cylindrical and spherical laminated shells with variable stiffness are numerically studied using a shear flexible isogeometric finite element. The kinematics relies on cubic shear deformation theory in which cubic variation is assumed for the surface displacements and a quadratic variation for the traverse displacement along the thickness. A zig-zag function, used for the in-plane displacements, accounts for the abrupt discontinuity at the boundaries of the laminae. The Lagrangian equations of motion is deployed to solve the frequencies of curved panels. A detailed parametric analysis examines the influence of fibre centre/edge angles, shell geometric variables, material anisotropy and edge conditions on frequencies and mode shapes.

A Higher Order Theory for Bending of Cross Ply Laminated Cylindrical Shell under Hygrothermal Loads

2015 ◽  
Vol 1115 ◽  
pp. 509-512 ◽  
Author(s):  
J.S. Mohamed Ali ◽  
Saleh Alsubari ◽  
Yulfian Aminanda
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Order Theory ◽  
Higher Order ◽  
Graphical Form ◽  
Laminated Shells ◽  
Elasticity Solutions ◽  
3D Elasticity ◽  
Higher Order Theory

The combined effect of moisture and temperature on the bending behaviour of simply supported cross ply composite laminated shells has been investigated. A 13 term accurate higher order shear deformation theory with zigzag function is used in this analysis in which the effects of transverse shear deformation are taken into account. The results are presented for thermal load cases are validated against available 3D elasticity solutions in the literature and useful results for combined hygrothermal loading are presented in tabular and graphical form.

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