Hybrid-interface finite element for laminated composite and sandwich beams

Bambole, Abhay; Desai, Yogesh M.

doi:10.1016/j.finel.2007.06.013

Cited by 24 publications

(13 citation statements)

References 43 publications

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“…Layerwise theories are layer dependent and the number of degrees of freedom involved is very high and hence these theories computationally complicated. Bambole and Desai (2007) have formulated hybrid interface finite element for laminated composite and sandwich beams. Each lamina is modeled using hybrid interface element at at the top and bottom lamina interfaces.…”

Section: Introductionmentioning

confidence: 99%

Stress Analysis of Laminated Composite and Sandwich Beams using a Novel Shear and Normal Deformation Theory

Pawar

Banerjee

Desai

2015

Lat. Am. j. solids struct.

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A novel Normal and Shear Deformation Theory (NSDT) for analysis of laminated composite and sandwich beams, taking into account shear deformation as well as normal deformation, is developed. The paper investigates flexural behaviors of thick laminated and sandwich beams under plane stress conditions using NSDT. A generalized displacement-based refined formulation is elucidated with inclusion of various warping functions in terms of thickness coordinates to represent shear and normal deformation effects. These effects become pronounced in thick laminated beams and particularly in sandwich beams with transversely flexible core. Present formulation satisfies the shear stress free surface conditions at the top and bottom surfaces of the beam with realistic through-the-thickness variation of transverse shear stresses. The results obtained are compared with higher order theories available in literature. It is observed that NSDT predicts displacement and stresses accurately compared to other higher order theories. K eyw ords: Shear deformation, transverse flexibility, laminated thick beam, sandwich beam, transverse shear stress.

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Section: Introductionmentioning

confidence: 99%

Stress Analysis of Laminated Composite and Sandwich Beams using a Novel Shear and Normal Deformation Theory

Pawar

Banerjee

Desai

2015

Lat. Am. j. solids struct.

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“…Desai and Ramtekkar [16] presented a mixed finite element based on displacement theory satisfying fundamental elasticity relations. Bambole and Desai [17] developed a two-dimensional hybridinterface element based on the principle of minimum potential energy.…”

Section: S Bouziane H Bouzred M Guenfoudmentioning

confidence: 99%

Mixed Finite Element for Cracked Interface

Bouziane

Bouzerd

Guenfoud

2009

Damage and Fracture Mechanics

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RésuméUn élément spécial basé sur le principe variationnel mixte de Reissner est présenté pour étudier la rupture interfacielle dans les bimatériaux. C'est un élément fini mixte bidimensionnel à 7 noeuds avec 5 noeuds déplacement et 2 noeuds contrainte. Cet élément assure la continuité des vecteurs déplacement et contrainte sur la partie cohérente et la discontinuité de celle-ci sur la partie fissurée. Cet élément d'interface est associé à la méthode d'extension virtuelle de fissure pour calculer le taux de restitution d'énergie. Les résultats obtenus, avec l'élément d'interface présenté, montrent une bonne concordance avec les solutions. Mots clés : Elément fini mixte d'interface, Interface fissurée, Taux de restitution d'énergie, Méthode d'extension virtuelle de fissure AbstractA special finite element based on Reissner's mixed variational principle has been presented to study interfacial cracks in bimaterials. The present element is a 7-node two dimensional mixed finite element with 5 displacement nodes and 2 stress nodes. The mixed interface finite element ensures the continuity of stress and displacement vectors at the interface on the coherent part and the discontinuity of this one on the cracked part. This interface element was associated with the virtual crack extension method to evaluate the energy release rates using only one meshing by finite elements. Results obtained from the present mixed interface element have been shown to be in good agreement with the analytical solutions.

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“…Recently, Kim and Cho (2007) developed a C 0 model using the EFSDT based on the mixed variational theorem, which also satisfies the lateral conditions at the top and bottom surfaces of the plate. The mixed FE approach was presented by Rao et al (2001), Ramtekekar et al (2002a;2003b), Bambole and Desai (2007) and many others, where the stress components were assumed as degrees of freedom at interface nodes along with displacement degrees of freedom for the accurate analysis of the stresses.…”

Section: Introductionmentioning

confidence: 99%

A New C0 2D Fe Model Based on Improved Higher Order Zigzag Theory for the Analysis of Soft Core Sandwich Plate

Khandelwal¹,

Chakrabarti²,

Bhargava³

2013

International Journal of Applied Mechanics and Engineering

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An efficient C 0 continuous finite element (FE) model is developed based on a combined theory (refine higher order shear deformation theory (RHSDT) and least square error (LSE) method) for the static analysis of a soft core sandwich plate. In this (RHSDT) theory, the in-plane displacement field for the face sheets and the core is obtained by superposing a global cubically varying displacement field on a zig-zag linearly varying displacement field with a different slope in each layer. The transverse displacement assumes to have a quadratic variation within the core and it remains constant in the faces beyond the core. The proposed model satisfies the condition of transverse shear stress continuity at the layer interfaces and the zero transverse shear stress condition at the top and bottom of the sandwich plate. The nodal field variables are chosen in an efficient manner to circumvent the problem of C 1 continuity requirement of the transverse displacements. In order to calculate the accurate through thickness transverse stresses variation, the Least Square Error (LSE) method has been used at the post processing stage. The proposed combined model (RHSDT and LSE) is implemented to analyze the laminated composites and sandwich plates. Many new results are also presented which should be useful for future research.

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Hybrid-interface finite element for laminated composite and sandwich beams

Cited by 24 publications

References 43 publications

Stress Analysis of Laminated Composite and Sandwich Beams using a Novel Shear and Normal Deformation Theory

Stress Analysis of Laminated Composite and Sandwich Beams using a Novel Shear and Normal Deformation Theory

Mixed Finite Element for Cracked Interface

A New C0 2D Fe Model Based on Improved Higher Order Zigzag Theory for the Analysis of Soft Core Sandwich Plate

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