Numerical homogenization of a linearly elastic honeycomb lattice structure and comparison with analytical and experimental results

Moeini, Mohammadreza; Begon, Mickaël; Lévesque, Martin

doi:10.1016/j.mechmat.2022.104210

Cited by 24 publications

(10 citation statements)

References 31 publications

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“…Guo et al [27] demonstrated that the deformation behavior of expandable lattice cylindrical shells can be represented by NPR modes, while the different deformation behaviors of lattice sandwich cylindrical shells (e.g., "Z" mode, circular mode, diamond mode, and mixed mode) are primarily determined by the proportions of the core material. Moeini et al [28] rigorously validated and confirmed the numerical and analytical homogenization of honeycomb structures with high relative densities and varying representative unit quantities. Moscatelli et al [29] highlighted the existence of bandgaps at relatively low frequencies in periodic locally resonant materials (LRM), which can be utilized for vibration attenuation or shock absorption.…”

Section: Introductionmentioning

confidence: 82%

The Vibration Isolation Design of a Re-Entrant Negative Poisson’s Ratio Metamaterial

Gao,

Wei,

Huo

et al. 2023

Applied Sciences

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An improved re-entrant negative Poisson’s ratio metamaterial based on a combination of 3D printing and machining is proposed. The improved metamaterial exhibits a superior load-carrying and vibration isolation capacity compared to its traditional counterpart. The bandgap of the proposed metamaterial can be easily tailored through various assemblies. Additionally, particle damping is introduced to enhance the diversity of bandgap design, improve structural damping performance, and achieve better vibration isolation at low and medium frequencies. An experiment and simulation were conducted to assess the static and vibration performances of the metamaterial, and consistent results were obtained. The results indicate a 300% increase in the bearing capacity of the novel structure compared to traditional structural metamaterials. Furthermore, by increasing the density of metal assemblies, a vibration-suppressing bandgap with a lower frequency and wider bandwidth can be achieved. The introduction of particle damping significantly enhanced the vibration suppression capability of the metamaterial in the middle- and low-frequency range, effectively suppressing resonance peaks. This paper establishes a vibration design method for re-entrant metamaterials, which is experimentally validated and provides a foundation for the vibration suppression design of metamaterials.

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Section: Introductionmentioning

confidence: 82%

The Vibration Isolation Design of a Re-Entrant Negative Poisson’s Ratio Metamaterial

Gao,

Wei,

Huo

et al. 2023

Applied Sciences

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“…[41,48] In FEM packages, the periodic boundary condition is usually implemented by creating multiple point constraints (MPC). [20,49] Each pair of corresponding nodes, for example,…”

Section: Numerical Homogenization Of Compositesmentioning

confidence: 99%

“…In FEM packages, the periodic boundary condition is usually implemented by creating multiple point constraints (MPC). [ 20,49 ] Each pair of corresponding nodes, for example,

{bold-italicx}_{1} (x_{1}, y_{1}, z_{1})

and

{bold-italicx}_{2} (x_{2}, y_{2}, z_{2})

lying on the opposite face of RVE and sharing identical in‐plane coordinates, is subject to the constraint

u (x_{1}) - u (x_{2}) = E \cdot ({bold-italicx}_{2} - {bold-italicx}_{1}),

where,

E

refers to the applied macroscopic strain.…”

Section: Introductionmentioning

confidence: 99%

A dual‐scale three‐dimensional thermo‐viscoelastic model for the hot stamping simulation of thermoplastic composites

et al. 2022

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Existing hot stamping simulations are performed at the macroscopic scale, making optimizing process parameters for a new composite system time‐consuming. This paper develops a dual‐scale three‐dimensional thermos‐viscoelastic model based on a numerical homogenization approach to accurately predict the structural deformation of thermoplastic composite laminates during hot stamping. The viscoelastic homogenization model is developed on representative volume elements using temperature‐dependent viscoelastic parameters determined from thermo‐mechanical tests. The effective properties of the composites are identified from the homogenization results, which are then combined with the experimentally measured thermal behavior into a numerical model of the hot stamping process. The developed model is validated by the agreement between the finite element homogenization results and the predictions made using the determined parameters. The simulated warpage of the molded part also agrees well with the experimental measurements. The developed dual‐scale model can be used to predict the effective thermomechanical properties of composites. Moreover, it can also be integrated into numerical tools for structural design and process optimization of thermoplastic composites.

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“…Mechanical properties can be programmed to a wide variety of conventional designs via the use of 3D printing technology. Mechanical metamaterials are divided into several main groups, including positive Poisson's ratio (PPR) structures such as honeycombs [3][4][5][6], zero Poisson's ratio (ZPR) structures [7][8][9], and negative Poisson's ratio (NPR) structures, socalled auxetics [10][11][12][13]. Metamaterials have been used for various applications, including electromagnetic fields for achieving negative permeability, acoustics, and vibration isolation [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

3D-Printed Programmable Mechanical Metamaterials for Vibration Isolation and Buckling Control

et al. 2022

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Vibration isolation performance at low-frequency ranges before resonance is a vital characteristic that conventional springs cannot exhibit. This paper introduces a novel zero Poisson’s ratio graded cylindrical metamaterial to fulfill two main goals: (1) vibration isolation performance in low-frequency bands prior to resonance and (2) global buckling control of a long cylindrical tube. For this purpose, “soft and stiff” re-entrant unit cells with varying stiffness were developed. The cylindrical metamaterials were then fabricated using a multi-jet fusion HP three-dimensional (3D) printer. The finite element analyses (FEA) and experimental results demonstrate that the simultaneous existence of multi-stiffness unit cells leads to quasi-zero stiffness (QZS) regions in the force-displacement relationship of a cylindrical metamaterial under compression. They possess significant vibration isolation performance at frequency ranges between 10 and 30 Hz. The proposed multi-stiffness re-entrant unit cells also offer global buckling control of long cylindrical tubes (with a length to diameter ratio of 3.7). The simultaneous existence of multi-stiffness re-entrant unit cells provides a feature for designers to adjust and control the deformation patterns and unit cells’ densification throughout cylindrical tubes.

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Numerical homogenization of a linearly elastic honeycomb lattice structure and comparison with analytical and experimental results

Cited by 24 publications

References 31 publications

The Vibration Isolation Design of a Re-Entrant Negative Poisson’s Ratio Metamaterial

The Vibration Isolation Design of a Re-Entrant Negative Poisson’s Ratio Metamaterial

A dual‐scale three‐dimensional thermo‐viscoelastic model for the hot stamping simulation of thermoplastic composites

3D-Printed Programmable Mechanical Metamaterials for Vibration Isolation and Buckling Control

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