Stability of laminated composite and sandwich beams by a Reddy-type higher-order zig-zag theory

Wu, Zhen; Yang, Chao; Zhang, Haigang; Xiulin, Zheng

doi:10.1080/15376494.2018.1444228

Cited by 12 publications

(4 citation statements)

References 46 publications

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“…The elements of the transformed reduced stiffness matrix [Q¯] of the isogrid structure for horizontal and diagonal stiffeners are provided in the Appendix. According to this approach, the forces N , , and Moment M for the thick symmetrical plate can be written as followsWhere [ A ] and [ D ] matrices are the extensional and bending stiffness matrices respectively and can be defined as followsWhere k is the layer number, Z k is the distance from the lower layer, and N is the number of layers (Sayyad and Ghugal, 2019; Wang et al, 1993; Zhen et al, 2019).…”

Section: Modelling the Sandwich Structuresmentioning

confidence: 99%

Multi-objective optimization of a sandwich structure with a hybrid composite grid core

Kermani

Ehsani

2022

Advances in Structural Engineering

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This study evaluated two multi-objective optimization problems of a hybrid composite grid core sandwich structure, aiming at maximizing the critical buckling load while minimizing the structural weight or the costs of raw materials. The sandwich structure had a core with a composite isogrid pattern covered by two composite skins, and design variables included the space between core ribs, the core rotation angle, and the dimensions and materials of ribs. The stiffeners of the core were considered with I and box cross sections to investigate the cross section effect of ribs. The results showed that materials with high density and low mechanical properties are not suitable for reducing cost and weight. Geometrically, the use of cross-section and box has a significant effect on the buckling load capacity of the structure. Although two different criteria have been used to design the structure, the end results are almost the same. Moreover, the First-order Shear Deformation Plate Theory and the Ritz method were utilized to obtain the buckling load. Finally, the optimal alternative was found among the existing ones using the continuous genetic algorithm approach.

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Section: Modelling the Sandwich Structuresmentioning

confidence: 99%

Multi-objective optimization of a sandwich structure with a hybrid composite grid core

Kermani

Ehsani

2022

Advances in Structural Engineering

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“…Zhen et al. 67 proposed Navier solution-based Reddy’s-type HOZT for buckling analysis of laminated composite and sandwich beams. In a survey reported by Carrera and Brischetto 68 on various theories for the analysis of laminate and sandwich structures, it was emphasized that by using layerwise kinematics and zigzag effects helps in predicting the behavior of laminate and sandwich structures efficiently and more accurately.…”

Section: Introductionmentioning

confidence: 99%

Novel higher-order zigzag theory for analysis of laminated sandwich beams

Garg

Chalak

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the present work, a new higher-order zigzag theory is proposed for the analysis of laminated sandwich beams under static and free vibration conditions. Fourth-order in-plane and transverse displacement fields are chosen along with linear unit Heaviside step function. The present theory satisfies interlaminar transverse stress continuity conditions along with zero value at the top and bottom surface for transverse shear stresses. The proposed approach is also free from any kind of C-1 or penalty requirements. A three-noded one-dimensional finite element having eight degrees of freedom per node is used during analysis. The efficiency of the proposed model is carried out by comparing the present results with those available based on elasticity solutions and zigzag theories in the literature. New results are also reported in the present work, which will serve as a benchmark for future studies. The influence of boundary condition on the nature of stress distribution across the length of beam and frequencies of the beam with different end conditions is also carried out. A comparative study has also been carried out between symmetric and unsymmetric laminated sandwich beam.

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“…Wang et al [33] introduced a two-dimensional elasticity model for laminated graphene-reinforced composite beams, by assuming the plane-stress state in each layer. Zhen et al [34] proposed a Reddy-type higher-order zigzag model for buckling analysis of laminated composite and sandwich beams. Based on Carrera unified formulation (CUF) and the isogeometric approach, Ghazanfari et al [35] performed the free vibration analysis of cross-ply laminated beams.…”

Section: Introductionmentioning

confidence: 99%

A new three-node element for bending, free vibration and buckling analysis of composite laminated beams based on FSDT theory

Karkon

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a new three-node element with three degrees of freedom per node is proposed for bending, free vibration and buckling analysis of laminated beams. The element's formulation is based on the first-order shear deformation theory (FSDT). For this aim, transverse displacement and rotation field of the element are selected from fifth and fourth order, respectively. Moreover, the shear strain is varied as quadratic function throughout the element. It is worth noting that the quadratic function can be used for axial displacement field. By employing equilibrium equation, curvature and shear strain relations of laminated beam with FSDT theory, the exact and explicit shape functions of the displacement fields are obtained. By utilizing the obtained shape functions, the explicit form of the stiffness matrix is calculated for the element. On the other hand, by using the governing equation of the free vibration and buckling of the beam, the explicit form of the translation and rotary mass matrices, and geometric stiffness matrix of the element are obtained. It should be mentioned, the proposed element is free of shear locking. Finally, several numerical tests fulfill to assess the robustness of the developed element. For this purpose, bending, free vibration and buckling analysis of laminated beams with different boundary conditions and aspect ratios are performed. The results of the numerical tests demonstrate high accuracy and efficiency of the proposed element for free vibration and buckling analysis of laminated beams.

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Stability of laminated composite and sandwich beams by a Reddy-type higher-order zig-zag theory

Cited by 12 publications

References 46 publications

Multi-objective optimization of a sandwich structure with a hybrid composite grid core

Multi-objective optimization of a sandwich structure with a hybrid composite grid core

Novel higher-order zigzag theory for analysis of laminated sandwich beams

A new three-node element for bending, free vibration and buckling analysis of composite laminated beams based on FSDT theory

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