Flexural analysis of laminated composites using refined higher-order plate bending elements

Pandya, B.N.; Kant, Tarun

doi:10.1016/0045-7825(88)90075-8

Cited by 104 publications

(29 citation statements)

References 18 publications

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“…This theory considers three-dimensional Hooke's law, incorporates the effect of transverse normal strain in addition to transverse shear deformations. Pandya and Kant [18][19][20][21][22], Kant and Manjunatha [23,24] and Manjunatha and Kant [25] have extended this theory and presented C 0 finite element formulations and solutions for the stress analysis of symmetric and unsymmetric laminated composite and sandwich plates. Rohwer [26] made a comparative study of various higher order theories for the bending analysis of multilayer composite plates.…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Kant

Swaminathan

2002

Composite Structures

315

116

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Analytical formulations and solutions to the static analysis of simply supported composite and sandwich plates hitherto not reported in the literature based on a higher order refined theory developed by the first author and already reported in the literature are presented. The theoretical model presented herein incorporates laminate deformations which account for the effects of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of in-plane displacements with respect to the thickness coordinate -thus modelling the warping of transverse cross-sections more accurately and eliminating the need for shear correction coefficients. In addition, a few higher order theories and the first order theory developed by other investigators and already available in the literature are also considered for the evaluation. The equations of equilibrium are obtained using principle of minimum potential energy (PMPE). Solutions are obtained in closed form using Navier's technique by solving the boundary value problem. The comparison of the present results with the available elasticity solutions and the results computed independently using the first order and the other higher order theories available in the literature shows that this refined theory predicts the transverse displacement and the stresses more accurately than all other theories considered in this paper. After establishing the accuracy of present results for composite and sandwich plates, new results for the stretching-bending coupling behaviour of antisymmetric sandwich laminates using all the theories considered in this paper are presented which will serve as a benchmark for future investigations.

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Section: Introductionmentioning

confidence: 99%

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Kant

Swaminathan

2002

Composite Structures

315

116

View full text Add to dashboard Cite

show abstract

“…The layerwise models, developed and implemented to analyse these structures, consider the first-order shear deformation theory [23] and the higher order theory due to Pandya and Kant [10]. The compatibility between the fields that describe the kinematics of each layer is achieved by assuming that the displacement at adjacent layers interfaces is continuous, where no slipping between them occurred.…”

Section: Layerwise Shear Deformation Modelsmentioning

confidence: 99%

“…Considering that all the three layers of the sandwich are modelled with the higher order displacement field proposed by Pandya and Kant [10], one will obtain the higher order layerwise model, here designated as HSDT-HSDT model, which has eleven degrees of freedom per node,…”

Section: Layerwise Shear Deformation Modelsmentioning

confidence: 99%

“…The Kriging interpolating functions are built by considering a Gaussian function and a polynomial basis as will be latter referred to on this document. These models are based on different shear deformation theories, namely, on the first-order shear deformation theory and on the higher order one due to Pandya and Kant [10]. The reason why these theories were chosen is related to its less computational cost when compared to other higher order theories without loss of performance quality.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Response of Soft Core Sandwich Beams with Metal-Graphene Nanocomposite Skins

Loja

2017

Shock and Vibration

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Sandwich structures are able to provide enhanced strength, stiffness, and lightweight characteristics, thus contributing to an improved overall structural response. To this sandwich configuration one may associate through-thickness graded core material properties and homogeneous or graded properties nanocomposite skins. These tailor-made possibilities may provide alternative design solutions to specific problem requisites. This work aims to address these possibilities, considering to this purpose a package of three beam layerwise models based on different shear deformation theories, implemented through Kriging-based finite elements. The viscoelastic behaviour of the sandwich core is modelled using the complex method and the dynamic problem is solved in the frequency domain. A set of case studies illustrates the performance of the models.

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“…Bending behaviour of plates is usually described by three mathematical models: Poisson-Kirchhoff plate theory [1], Reissner-Mindlin first order plate theories [2][3][4] and higher order plate theories [5][6][7][8][9]. PoissonKirchhoff theory, which is also known as Classical Plate Theory ( C P T ) , i s b a s e d o n a s s u m p t i o n t h a t straight lines perpendicular to mid-surface (i.e., transverse normals) before deformation remain straight and normal to the mid-surface and undergo no change in length during deformation.…”

Section: Introductionmentioning

confidence: 99%

Elasto-Plastic Behaviour of Thick Plates with a Higher-Order Shear Deformation Theory

Kant¹,

Tripathi²,

Rodé³

2013

Proceedings of the Indian National Science Academy

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Flexural analysis of laminated composites using refined higher-order plate bending elements

Cited by 104 publications

References 18 publications

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Dynamic Response of Soft Core Sandwich Beams with Metal-Graphene Nanocomposite Skins

Elasto-Plastic Behaviour of Thick Plates with a Higher-Order Shear Deformation Theory

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