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Laminated Plate Elements Based on Higher-Order Shear Deformation Theories
Advanced Materials Research, 2008Efficient and accurate finite elements are crucial for finite element analysis to provide adequate prediction of the structural behavior. A large amount of laminated plate elements have been developed for finite element analysis of laminated composite plates based on the various lamination theories.
Yi Xia Zhang, Chun Hui Yang
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A New Nonlinear Higher-Order Shear Deformation Theory for Nonlinear Vibrations of Laminated Shells
Volume 8: Dynamic Systems and Control, Parts A and B, 2010A 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 ...
AMABILI, Marco, J. N. Reddy
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Higher-order shear deformable theories for flexure of sandwich plates—Finite element evaluations
International Journal of Solids and Structures, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PANDYA, BN, KANT, T
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Transverse Vibrations Of Shear-deformable Beams Using A General Higher Order Theory
Journal of Sound and Vibration, 1993A general higher order theory is developed to study the static and vibrational behavior of beam structures having an arbitrary cross section that utilizes both out-of-plane shear-dependent warping and in-plane (anticlastic) deformations. The equations of motion are derived via Hamilton's principle, where the full 3D constitutive relations are used.
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FREE VIBRATION OF FUNCTIONALLY GRADED PLATES WITH A HIGHER-ORDER SHEAR AND NORMAL DEFORMATION THEORY
International Journal of Structural Stability and Dynamics, 2013Free vibration analysis of functionally graded elastic, rectangular, and simply supported (diaphragm) plates is presented based on a higher-order shear and normal deformation theory (HOSNT). Although functionally graded materials (FGMs) are highly heterogeneous in nature, they are generally idealized as continua with mechanical properties changing ...
JHA, DK, KANT, T, SINGH, RK
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Influence of shear correction factors in the higher order shear deformation laminated shell theory
International Journal of Solids and Structures, 1994Abstract A third-order shell theory based on Reddy's parabolic shear strain distribution is presented. Upon applying the Donnell shallow shell approximation, the present theory leads to Reddy's formulation in the case that the laminate has a Euclidean middle surface and constant principal radii of curvatures.
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Nonlinear Dynamic Bending Analysis of Plates Using a Higher-Order Shear Deformation Theory
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khante, Suraj Narendra, Rode, Vijay
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Smart Materials and Structures, 2007
In this paper geometrically nonlinear analysis of piezolaminated smart composite plates and shells is presented. The degenerated shell element is formulated using total Lagrangian and higher-order shear deformation theory (HOST). von Karman hypothesis is used in the formulation and the finite element equations are derived using energy principles.
KULKARNI, SA, BAJORIA, K
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In this paper geometrically nonlinear analysis of piezolaminated smart composite plates and shells is presented. The degenerated shell element is formulated using total Lagrangian and higher-order shear deformation theory (HOST). von Karman hypothesis is used in the formulation and the finite element equations are derived using energy principles.
KULKARNI, SA, BAJORIA, K
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FREE VIBRATION RESPONSE OF CYLINDRICAL PANELS WITH HIGHER ORDER SHEAR DEFORMATION THEORY
International Journal of Structural Stability and Dynamics, 2005Presented here is an analytical solution to the free vibration problem of an isotropic cylindrical panel with SS2-type simply supported boundary conditions based on Reddy's third order shear deformation shell theory. Using the principle of virtual work, the Reddy's shell theory generates five highly coupled partial differential equations in terms of ...
HUMAYUN R. H. KABIR, HASAN ASKAR
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Bending of a bimodulus laminated plate based on a higher-order shear deformation theory
Composite Structures, 1988Abstract This paper presents an exact flexural analysis of rectangular simply supported single-layer and two-layer cross-ply plates of bimodulus materials. The governing equations of a bimodulus plate based on a higherorder shear deformation theory are simplified from the composite plate.
Chin-Ping Fung, Ji-Liang Doong
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