Nonlinear theory for plates and shells including the effects of transverse shearing

Stein, Manuel

doi:10.2514/3.9477

Cited by 191 publications

(50 citation statements)

References 9 publications

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“…Stein [23] developed a 2D theory wherein the displacements are expressed by trigonometric series. In addition to the usual algebraic through-the-thickness terms assumed for the displacements, trigonometric through-the-thickness terms are added to give more accurate results.…”

Section: Methodsmentioning

confidence: 99%

Estimation of transverse/interlaminar stresses in laminated composites – a selective review and survey of current developments

Kant

Swaminathan

2000

Composite Structures

261

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A review is made on the dierent methods used for the estimation of transverse/interlaminar stresses in laminated composite plates and shells. Both analytical and numerical methods are considered. In numerical methods while the emphasis is given on ®nite element methods, other methods like the ®nite dierence method is also brie¯y discussed. Aspects considered are: eects of variation in geometric and material parameters, transverse shear and normal deformation, interface stress continuity and the interfacial bonding on the accuracy of prediction of transverse/interlaminar stresses. Finally some general conclusions are presented along with future directions of research on the analysis of multilayered composite plates and shells for free-edge eects.

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Section: Methodsmentioning

confidence: 99%

Estimation of transverse/interlaminar stresses in laminated composites – a selective review and survey of current developments

Kant

Swaminathan

2000

Composite Structures

261

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“…The strain-displacement relations based on Sander's shell theory [1959] and incorporating the geometrical nonlinearity given by [Stein 1986] can be written as…”

Section: Mathematical Formulationmentioning

confidence: 99%

Analysis of impact response and damage in laminated composite shell involving large deformation and material degradation

Kumar

2008

JOMMS

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A nonlinear finite element analysis of impact response and impact-induced damage in curved composite laminates subjected to transverse impact by a foreign object is carried out. An eight-noded isoparametric quadrilateral shell element incorporating a nonlinear strain displacement relation due to large deflection is developed based on the total Lagrangian approach. The nonlinear system of equations is solved using a Newton-Raphson incremental-iterative method. Example problems of graphite/epoxy cylindrically curved laminates with different curvature are considered and the influence of geometrical nonlinearity on the impact response and the resulting damage is demonstrated. The concurrent effect of material degradation due to impact damage is also investigated.

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“…A simplified ESL model of a similar class is also presented and results are compared. Stein [7] has used a similar plate theory for the post buckling analysis of plate, his theory does not satisfy the transverse shear stress condition at top and bottom of the plate. Recently, Shimpi and Ghugal [8] have used trigonometric terms in the displacement field for the analysis of two layer composite plate.…”

Section: Introductionmentioning

confidence: 99%

A zigzag model for laminated composite beams

Arya¹,

Shimpi²,

Naik³

2002

Composite Structures

140

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In the present work, a zigzag model for symmetric laminated beam is developed. This model uses a sine term to represent the nonlinear displacement field across the thickness as compared to a third order polynomial term in conventional theories. Transverse shear stress and strain are represented by a cosine term as compared to parabolic term. This model satisfies displacement and transverse shear stress continuity at the interface. Zero transverse shear stress boundary condition at the top and bottom of the beam are also satisfied. The numerical results indicates that the present model predicts very accurate results for displacement and stresses for symmetric cross-ply laminated beam, even for small length to thickness ratio. The results are also compared with a simplified theory of same class.

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Nonlinear theory for plates and shells including the effects of transverse shearing

Cited by 191 publications

References 9 publications

Estimation of transverse/interlaminar stresses in laminated composites – a selective review and survey of current developments

Estimation of transverse/interlaminar stresses in laminated composites – a selective review and survey of current developments

Analysis of impact response and damage in laminated composite shell involving large deformation and material degradation

A zigzag model for laminated composite beams

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