A generalized higher-order theory for buckling of thick multi-layered composite plates with normal and transverse shear strains

2010 ◽  
Vol 92 (12) ◽  
pp. 3011-3019 ◽  
Author(s):  
Lars Fiedler ◽  
Walter Lacarbonara ◽  
Fabrizio Vestroni
Keyword(s):  
Transverse Shear ◽  
Composite Plates ◽  
Order Theory ◽  
Layered Composite ◽  
Higher Order ◽  
Shear Strains ◽  
Higher Order Theory ◽  
Transverse Shear Strains

A Higher-Order Theory for Vibration of Doubly Curved Shallow Shells

1996 ◽  
Vol 63 (3) ◽  
pp. 587-593 ◽  
Author(s):  
K. M. Liew ◽  
C. W. Lim
Keyword(s):  
Transverse Shear ◽  
Shear Deformation Theory ◽  
Order Theory ◽  
Higher Order ◽  
Shallow Shells ◽  
Shear Distribution ◽  
Strain Components ◽  
Shear Strains ◽  
Doubly Curved ◽  
Transverse Shear Strains

A higher-order shear deformation theory is presented for vibration analysis of thick, doubly curved shallow shells. An orthogonal curvilinear coordinate system is employed to arrive at the strain components. A third-order displacement field in transverse coordinate is adopted. Though no transverse normal stress is assumed, the theory accounts for cubic distribution of the transverse shear strains through the shell thickness in contrast with existing parabolic shear distribution. The unsymmetric shear distribution is a physical consequence of the presence of shell curvatures where the stress and strain of a point above the mid-surface are different from its counterpart below the mid-surface. Imposing the vanishing of transverse shear strains on top and bottom surfaces, the rotation field is reduced from a six-degree to a two-degree system. The discrepancy between the existing and the present theories is highlighted.

Thermo-mechanical analysis of multilayered composite beams based on a new mixed global-local model

2019 ◽  
Vol 53 (28-30) ◽  
pp. 3963-3978 ◽  
Author(s):  
Qilin Jin ◽  
Ziming Mao ◽  
Xiaofei Hu ◽  
Weian Yao
Keyword(s):  
Transverse Shear ◽  
Order Theory ◽  
Mechanical Analysis ◽  
Composite Beams ◽  
Higher Order ◽  
Shear Stresses ◽  
Mixed Form ◽  
Multilayered Composite ◽  
Proposed Model ◽  
Higher Order Theory

An accurate mixed-form global-local higher-order theory including transverse normal thermal deformation is developed for thermo-mechanical analysis of multilayered composite beams. Although transverse normal deformation is considered, the number of displacement parameters is not increased. The proposed mixed-form global-local higher-order theory is derived using the displacement assumptions of global-local higher-order theory in conjunction with the Reissner mixed variational theorem. Moreover, the mixed-form global-local higher-order theory retains a fixed number of displacement variables regardless of the number of layers. In order to obtain the improved transverse shear stresses, the three-dimensional equilibrium equation is used. It is significant that the second-order derivatives of in-plane displacement variables have been eliminated from the transverse shear stress field, such that the finite element implementation is greatly simplified. The benefit of the proposed mixed-form global-local higher-order theory is that no post-processing integration procedure is needed to accurately calculate the transverse shear stresses. The equilibrium equations and analytical solution of the proposed model can be obtained based on the Reissner mixed variational equation. The performance of the proposed model is assessed through different numerical examples, and the results show that the proposed model can better predict the thermo-mechanical responses of multilayered composite beams.

Large deflection of shear deformable composite plates using a simple higher-order theory

1993 ◽  
Vol 3 (6) ◽  
pp. 507-525 ◽  
Author(s):  
Gajbir Singh ◽  
G.Venkateswara Rao ◽  
N.G.R. Iyengar
Keyword(s):  
Large Deflection ◽  
Composite Plates ◽  
Order Theory ◽  
Higher Order ◽  
Higher Order Theory ◽  
Shear Deformable

Analytical solution for bending and buckling response of laminated non-homogeneous plates using a simplified-higher order theory

2017 ◽  
Vol 3 (1) ◽  
pp. 1
Author(s):  
Ferruh Turan ◽  
Muhammed Fatih Başoğlu ◽  
Zihni Zerin
Keyword(s):  
Virtual Work ◽  
Composite Plates ◽  
Order Theory ◽  
Higher Order ◽  
Principle Of Virtual Work ◽  
Rotation Tensor ◽  
Buckling Loads ◽  
Simply Supported ◽  
Higher Order Theory ◽  
Bending Response

In this study, analytical solutions for the bending and buckling analysis of simply supported laminated non-homogeneous composite plates based on first and simplified-higher order theory are presented. The simplified-higher order theory assumes that the in-plane rotation tensor is constant through the thickness. The constitutive equations of these theories were obtained by using principle of virtual work. Numerical results for the bending response and critical buckling loads of cross-ply laminates are presented. The effect of non-homogeneity, lamination schemes, aspect ratio, side-to-thickness ratio and in-plane orthotropy ratio on the bending and buckling response were analysed. The obtained results are compared with available elasticity and higher order solutions in the literature. The comparison studies show that simplified-higher order theory can achieve the same accuracy of the existing higher order theory for non-homogeneous thin plate.

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