Assessment of inverse trigonometric zigzag theory for stability analysis of laminated composite and sandwich plates

Sahoo, Rosalin; Singh, B.N.

doi:10.1016/j.ijmecsci.2015.07.023

Cited by 16 publications

(6 citation statements)

References 28 publications

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“…Sahoo and Singh 273,274 have developed a new HSDLT for the assessment of inverse trigonometric zig-zag function for the stability analysis of orthotropic composite laminated and sandwich plates. This article has used a C 0 continuity isoparametric element for the analysis of FEM.…”

Section: Layerwise Theoriesmentioning

confidence: 99%

Development and applications of shear deformation theories for laminated composite plates: An overview

Maji¹,

Mahato

2020

Journal of Thermoplastic Composite Materials

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This review, overviews the development and applications of shear deformation (SD) laminated composite plate theories. The present overview mainly focuses on theoretical models based on SD theories of laminated composite plates. This comprehensive review has been categorized with an equivalent single-layer laminate and layerwise laminate theories. An equivalent single-layer laminate theory includes classical laminated plate theory, first-order shear deformation laminated theory, second-order shear deformation laminated theory, third-order shear deformation laminated theory, parabolic shear deformation laminated theory, trigonometric shear deformation laminated theory, hyperbolic shear deformation laminated theory, and higher order shear deformation laminated theory. The layerwise laminate theories include discrete-layer theories and zig-zag theories. In addition, the 3D elasticity solutions theory, the mixed (hybrid) plate theories, unified theories, advanced shear deformation theories, and the recently developed smart composite are also reviewed.

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Section: Layerwise Theoriesmentioning

confidence: 99%

Development and applications of shear deformation theories for laminated composite plates: An overview

Maji¹,

Mahato

2020

Journal of Thermoplastic Composite Materials

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“…where S k xz ¼1=Q k 44 , S k yz ¼1=Q k 55 . Â k l and Ç k l have been defined in equation (32), and l ¼ 1$3.…”

Section: Finite Element Formulation a C 0 -Type Four-node Quadrilatermentioning

confidence: 99%

“…However, for the multilayered composite and sandwich plates, the stress smoothing technique of integrating 3D equilibrium equations must be used to obtain accurate transverse shear stresses in these models. 25–34 This approach means that the first-order derivatives of in-plane stresses will be involved in the 3D equilibrium equations. To accurately calculate transverse shear stresses by means of the equilibrium equation stress smoothing technique, the higher order elements are usually developed for the analysis of multilayered composite and sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

“…Ren et al 31 developed a zigzag model in which the firstorder derivatives of transverse displacement have been taken out from the displacement fields. In terms of a C 0 inverse trigonometric zigzag theory, Sahoo and Sinbh 32 investigated the buckling behaviors of laminated composite and sandwich plates. By accounting for transverse normal deformation, an improved C 0 zigzag plate theory 33,34 was developed for bending and buckling analysis of soft core sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

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An accurate zigzag theory for bending and buckling analysis of thick laminated sandwich plates with soft core

Jin

Yao

2020

Journal of Composite Materials

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An accurate and computationally attractive zigzag theory is developed for bending and buckling analysis of thick laminated soft core sandwich plates. The kinematic assumptions of the proposed zigzag theory are obtained by superimposing a nonlinear zigzag function on the first-order shear deformation theory. In order to obtain the accurate transverse shear stresses, a preprocessing approach based on the three-dimensional equilibrium equations and the Reissner mixed variational theorem is used. It is significant that the second-order derivatives of in-plane displacement variables have been removed from the transverse shear stresses, such that the finite element implementation is greatly simplified. Thus, based on the proposed zigzag model, a computationally efficient four-node C0 quadrilateral plate element with linear interpolation function is proposed for bending and buckling analysis of soft core sandwich plates. The advantage of the present formulation is that no post-processing approach is needed to calculate the transverse shear stresses while maintaining the computational accuracy of a linear plate element. Moreover, the accurate transverse shear stresses can be involved in the strain energy which can actively improve the accuracy of critical loads. Performance of the proposed model is assessed by comparing with several benchmark solutions. Agreement between the present results and the reference solutions is very good, and the proposed model only includes the seven displacement variables which can demonstrate the accuracy and effectiveness of the proposed model.

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“…It has been widely applied in the industries of aerospace, shipbuilding, automobile and construction. [1][2][3] Fibre-reinforced metal laminates, such as a laminated sheet of aluminium alloy and epoxy resin reinforced by fibreglass, to be abbreviated as Glare, have been applied in Boeing777 and A380, with weight-lightening of 30% and good economic benefit. 4,5 Magnesium alloy has better specific stiffness, specific strength, shock absorption and electromagnetic shielding performance compared with aluminium alloy.…”

Section: Introductionmentioning

confidence: 99%

Research on Surface Treatment of Magnesium Alloy and Its Wettability with Resin

Qin

Zeng³

et al. 2016

Materials Science and Technology

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After phosphatising disposal, the micro-morphology of the AZ31B sheet was observed. The contact angle of the sheet was measured. The surface energy of the sheet was calculated. The laminated sheet was prepared, with preliminary study of its performance. Results showed that the amount and grain size of phosphate were influenced by the phosphating process, as well as wettability of materials. After 30°C/5 min phosphating, a dense phosphating film consisting of zinc phosphate was obtained, and the advancing contact angle of magnesium alloy was 58.3°. Compared with 31.5 mN m−1 of the raw magnesium alloy sheet, the surface energy of the sheet after phosphating reached 90 mN m−1. The laminated sheet of fibre/resin–phosphated magnesium alloy–fibre/resin has good bonding interface, corrosion resistance and mechanical properties.

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Assessment of inverse trigonometric zigzag theory for stability analysis of laminated composite and sandwich plates

Cited by 16 publications

References 28 publications

Development and applications of shear deformation theories for laminated composite plates: An overview

Development and applications of shear deformation theories for laminated composite plates: An overview

An accurate zigzag theory for bending and buckling analysis of thick laminated sandwich plates with soft core

Research on Surface Treatment of Magnesium Alloy and Its Wettability with Resin

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