New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates

In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the...

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Bibliographic Details
Published in:AIAA journal 2013-08, Vol.51 (8), p.1861-1871
Main Authors: Grover, Neeraj, Singh, B. N, Maiti, D. K
Format: Article
Language:English
Subjects:
Boundary conditions
Buckling
Calculus of variations
Computational efficiency
Deformation
Differential equations
Exact sciences and technology
Free boundaries
Fundamental areas of phenomenology (including applications)
Laminar composites
Laminates
Mathematical analysis
Mathematical models
Methodology
Physics
Plates
Plates (structural members)
Shear deformation
Shear stress
Solid mechanics
Static elasticity (thermoelasticity...)
Stress concentration
Structural and continuum mechanics
Studies
Vibration response
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the top and bottom layers of the laminates. The governing differential equations are derived for a generalized shear-deformation theory by implementing the dynamic version of principle of virtual work and calculus of variations. A generalized closed-form solution methodology of the Navier type is implemented to ensure the validity and efficiency of the present theories for bending, buckling, and free-vibration responses of the laminated-composite and sandwich plates. It is observed that the proposed formulation in conjunction with the solution methodology is capable of handling all existing five-degree-of-freedom-based shear-deformation theories. The comparison of results also shows that the adequate choice of shear deformation leads to an accurate prediction of structural responses. The influence of shear deformation on the type of analysis performed is also observed in this study. The theories are also capable of an efficient prediction of the responses of structures at a similar computational cost as that of other equivalent single-layer theories.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J052399