Homogenization of hexagonal and re-entrant hexagonal structures and wave propagation of the sandwich plates with symplectic analysis

Zhang, Kai; Deng, Zichen; Xu, Xiaojian; Meng, Junhu; Jiang, Xianhong

doi:10.1016/j.compositesb.2017.01.048

Cited by 27 publications

(7 citation statements)

References 48 publications

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“…Based on the deformation mode of the structure under an impact scenario with a low-impact velocity of 12 m/s in both X and Y directions, the analytical expressions for predicting the in-plane dynamic collapsing resistance were built in terms of the component angles of the basic cell and its wall's thickness-length ratio as expressed by equations (7) and (10). The differences in plateau stress between the numerical and analytical predictions are listed in Table 1 for both X and Y directions.…”

Section: Estimating the In-plane Dynamic Plateau Stressmentioning

confidence: 99%

“…Specifically, the geometry of the core has been found to have a significant impact on the collapsing behavior. 7 Numerous types of cores have been proposed for studying their collapsing behavior, including the Islamic motif-inspired auxetic material, 8 start structure, 9 reentrant hexagonal structure, 10 honeycombs, 11 and hybridhoneycomb. 12 Xu et al 13 investigated the effect of the parameters of the star-shaped honeycomb cells on the mechanical characteristics and highlighted the enhancement of the elastic modulus achieved by inserting inner ribs.…”

Section: Introductionmentioning

confidence: 99%

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Study of the in-plane crashworthiness performance of 6-legged starfish-inspired structures

Doan,

Nguyen,

Lương

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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Bio-inspired design is an impressive design method that improves a structure's crashworthiness performance and mechanical features. A cellular structure bio-inspired by a 6-legged starfish shape has been developed. Accordingly, this study examines the in-plane crushing behavior and crashworthiness of the 6-legged starfish-inspired structure (6LSIS). Analytical solutions were built based on the principle of energy balance to estimate the plateau stress in low-impact velocity conditions. Plateau stresses are related to high-impact velocities using a curve fitting method for a given wall's thickness. The predictions matched the numerical results. The crashworthiness performance of the 6LSISs mainly depends on wall thickness, impact velocity, and loading direction. It has been observed that an increase in wall thickness and impact velocity results in an enhancement in plateau stress ( σpl), specific energy absorption (SEA), and peak load (PL) in both directions. However, if the wall thickness is >0.3 mm, SEA decreases due to an increase in the structure's mass. The in-plane crushing direction ( X or Y) determines the crushing strength and deformation mode of the structure. This study illustrates that the crashworthiness of the structure in the X-direction is superior to that in the Y-direction.

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Section: Estimating the In-plane Dynamic Plateau Stressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of the in-plane crashworthiness performance of 6-legged starfish-inspired structures

Doan,

Nguyen,

Lương

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…Homogenization of honeycombs with regular hexagonal cell shape is studied by Zhang et al. 21 They established a method to obtain the elastic constants of honeycomb more accurately by considering the honeycomb deformation under axial, bending, and shear loads. They also analyzed the wave propagation behavior of sandwich panels with the obtained elastic constants.…”

Section: Introductionmentioning

confidence: 99%

A novel graded auxetic honeycomb core model for sandwich structures with increasing natural frequencies

Zamani

Heidari-Rarani

Torabi

2021

Jnl of Sandwich Structures & Materials

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A novel angle graded auxetic honeycomb (AGAH) core is designed for sandwich structures in the present study. The angle of the cells is varied through the thickness of the AGAH core using linear functions. Therefore, the thickness of the cell walls is kept constant along the gradation of the cell angle, and the length of the cell walls is changed through the core thickness as the result of angle variation. New analytical relations are proposed to predict the equivalent elastic properties of the AGAH core. The performance of the new proposed core is analytically assessed for the vibrational behavior of a sandwich plate. The governing equations are deduced adopting Hamilton’s principle under the assumption of quasi-3D exponential plate theory. Three-dimensional finite element (3D-FE) simulation is accomplished to verify the analytical results of the vibrational response of the sandwich structure. The influence of variation of the cell wall, the cell angle and cell aspect ratio of AGAH core, and geometric parameters of the sandwich structure are investigated on the vibration response of the sandwich panel. The present graded design of the auxetic honeycomb enhances the specific stiffness (i.e., stiffness to density ratio) and consequently increases the natural frequencies of sandwich structures with this type of core.

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“…Effective in-plane material properties of 2D lattices can be determined by several methods [6][7][8][9][10][11][12][13]. In these methods, 2D lattices are frequently viewed as frames whose struts are modeled as beams.…”

Section: Introductionmentioning

confidence: 99%

Effects of Shear Deformation of Struts in Hexagonal Lattices on their Effective In-Plane Material Properties

Suttakul

Fongsamootr

et al. 2021

MSF

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Two-dimensional lattices are widely used in many engineering applications. If 2D lattices have large numbers of unit cells, they can be accurately modeled as 2D homogeneous solids having effective material properties. When the slenderness ratios of struts in these 2D lattices are low, the effects of shear deformation on the values of the effective material properties can be significant. This study aims to investigate the effects of shear deformation on the effective material properties of 2D lattices with hexagonal unit cells, by using the homogenization method based on equivalent strain energy. Several topologies of hexagonal unit cells and several slenderness ratios of struts are considered. The effects of struts’ shear deformation on the effective material properties are examined by comparing the results of the present study, in which shear deformation is neglected, with those from the literature, in which shear deformation is included.

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Homogenization of hexagonal and re-entrant hexagonal structures and wave propagation of the sandwich plates with symplectic analysis

Cited by 27 publications

References 48 publications

Study of the in-plane crashworthiness performance of 6-legged starfish-inspired structures

Study of the in-plane crashworthiness performance of 6-legged starfish-inspired structures

A novel graded auxetic honeycomb core model for sandwich structures with increasing natural frequencies

Effects of Shear Deformation of Struts in Hexagonal Lattices on their Effective In-Plane Material Properties

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