Cylindrical bending of angle-ply laminates subjected to different sets of edge boundary conditions

Shu, Xiaoping; Soldatos, Kostas P.

doi:10.1016/s0020-7683(99)00144-4

Cited by 42 publications

(32 citation statements)

References 15 publications

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“…The plates are subjected to transverse sinusoidal loading (Equation (22)) on the top surface. Results for transverse displacement w and stress components x , y , xz and yz have been tabulated in Table III, where they have been compared with the analytical solutions given by Pagano [7], Ren [8] and Shu and Soldatos [13]. The comparison shows good agreement with the analytical solutions.…”

Section: Examplementioning

confidence: 76%

A novel 3D mixed finite‐element model for statics of angle‐ply laminates

Desai

Ramtekkar

Shah

2003

Numerical Meth Engineering

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SUMMARYAnalysis of angle-ply laminates becomes critical and computationally involved because of the presence of extension-shear coupling. A reÿned three-dimensional, mixed, 18-node ÿnite-element (FE) model has been developed to analyse angle-ply laminates under static loading. The minimum potential energy principle has been used for the development of the mixed FE model, where the transverse stress components ( xz , yz and z , where z is the thickness direction) have been incorporated as the nodal degrees of freedom, in addition to the three displacement ÿelds. Further, continuity of transverse stress ÿelds through the thickness of the plate and layerwise continuity of displacement ÿelds have been enforced in the formulation. Because all the constitutive and the compatibility conditions have been ensured within the continuum, the present formulation is unique amongst the family of mixed FE models. Results have been obtained for various angle-ply laminates and compared with analytical and ÿnite-element solutions, which have been found to be in good agreement with them. Some new results on angle-ply with clamped-clamped support condition have also been presented to serve as benchmark results.

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Section: Examplementioning

confidence: 76%

A novel 3D mixed finite‐element model for statics of angle‐ply laminates

Desai

Ramtekkar

Shah

2003

Numerical Meth Engineering

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“…In particular, the use of different boundary conditions results in varying accuracies in deflection and transverse shear stress values using one commercial software to another. A similar study was done for monoclinic and angle-ply laminated plates under cylindrical bending subjected to different edge boundary conditions [12]. Nallim et.…”

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confidence: 72%

Effects of Boundary Conditions in Laminated Composite Plates Using Higher Order Shear Deformation Theory

2010

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This paper extends the applicability of a modified higher order shear deformation theory to accurately determine the in-plane and transverse shear stress distributions in an orthotropic laminated composite plate subjected to different boundary conditions. A simpler, two-dimensional, shear deformable, plate theory accompanied with an appropriate set of through-thickness variations, is used to accurately predict transverse shear stresses. A finite element code was developed based on a higher order shear deformation theory to study the effects of boundary conditions on the behavior of thin-to-thick anisotropic laminated composite plates. The code was verified against three dimensional elasticity results. The study also compared the stresses and deformation results of higher order theory with those obtained using commercial software such as LUSAS, ANSYS and ALGOR. The commercial software are heavily used by designers to design various components/products made of composites. Various combinations of fixed, clamped and simply supported boundary conditions were used to verify a large class of anticipated applications. Results obtained from software are in good agreement for some cases and significantly differ for others. It was found that LUSAS and ANSYS yield better results for transverse deflection and in-plane stresses. But for transverse shear stresses, it is highly dependent on boundary conditions.

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“…According to the theory of Soldatos [16,23], there is a complete freedom in choosing the values of all six of A 0 , A 1 , B 0 , B 1 , C 0 , and D 1 , some convenient choice of five of them is made by employing the constraint conditions on the middle-plane in (3), and these yield…”

Section: Shape Functions Appropriated For the Simply Supported Plate mentioning

confidence: 99%

Nonlinear dynamic response of piezoelastic laminated plates considering interfacial damage effects

2008

Nonlinear Dyn

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This paper presents a nonlinear model for cross-ply piezoelastic laminated plates containing the damage effect of the intralayer materials and interlaminar interfaces. The model is based on the general sixdegrees-of-freedom plate theory, the discontinuity of displacement, and electric potential on the interfaces are depicted by three shape functions, which are formulated according to solutions about three equilibrium equations and conservation of charge. By using the Hamilton variation principle, the three-dimensional nonlinear dynamic equations of piezoelastic laminated plates with damage are presented. Then using the finite difference method and the Newmark scheme, an analytical solution is presented. In numerical examples, the effects of different damage models, damage evolution, amplitude and frequency of electric loads on the nonlinear dynamic response of piezoelectric laminated plate with interfacial imperfections are investigated.

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Cylindrical bending of angle-ply laminates subjected to different sets of edge boundary conditions

Cited by 42 publications

References 15 publications

A novel 3D mixed finite‐element model for statics of angle‐ply laminates

A novel 3D mixed finite‐element model for statics of angle‐ply laminates

Effects of Boundary Conditions in Laminated Composite Plates Using Higher Order Shear Deformation Theory

Nonlinear dynamic response of piezoelastic laminated plates considering interfacial damage effects

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