A comprehensive analysis of auxetic honeycomb sandwich plates with graphene nanoplatelets reinforcement

Journal Pre-proofs

A comprehensive analysis of auxetic honeycomb sandwich plates with gra‐

phene nanoplatelets reinforcement

Nam V. Nguyen, H. Nguyen-Xuan, Tan N. Nguyen, Joowon Kang, Jaehong

Lee

PII: S0263-8223(20)33139-1

DOI: https://doi.org/10.1016/j.compstruct.2020.113213

Reference: COST 113213

To appear in: Composite Structures

Received Date: 1 August 2020

Revised Date: 14 October 2020

Accepted Date: 21 October 2020

Please cite this article as: Nguyen, N.V., Nguyen-Xuan, H., Nguyen, T.N., Kang, J., Lee, J., A comprehensive

analysis of auxetic honeycomb sandwich plates with graphene nanoplatelets reinforcement, Composite Structures

(2020), doi: https://doi.org/10.1016/j.compstruct.2020.113213

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© 2020 Published by Elsevier Ltd.

A comprehensive analysis of auxetic honeycomb sandwich plates

with graphene nanoplatelets reinforcement

Nam V. Nguyena,b, H. Nguyen-Xuanc

, Tan N. Nguyena

, Joowon Kangd

, Jaehong Leea,∗

aDepartment of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul,

05006, Republic of Korea

bFaculty of Mechanical Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City,

Vietnam

cCIRTech Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City,

Vietnam

dSchool of Architecture, Yeungnam University, Gyeongsan, Gyeongbuk, Republic of Korea

Abstract

Nowadays, sandwich plates with cellular core structures are gaining the attention of re￾searchers owing to their outstanding features. For a better insight into auxetic struc￾tures, in this study, we propose an excellent computational approach based on polygonal

meshes to comprehensively examine the free vibration, buckling and dynamic instability

behaviors of the auxetic honeycomb sandwich plate structures. A generalized C

0

-type

higher-order shear deformation theory (C

0

-HSDT) in conjunction with both Laplace and

quadratic serendipity shape functions is employed to approximate the strain fields for

polygonal plate elements. The sandwich plate structures are constituted by an auxetic

honeycomb core layer with negative Poisson’s ratio and two skin layers reinforced by

graphene nanoplatelets (GNPs). Ultra-light features of the plate structures can be ob￾tained by using the auxetic honeycomb cells with negative Poisson’s ratio while the GNPs

are embedded into skin layers to enhance the structural stiffness. In order to determine

the dynamic instability region of the sandwich plate, Bolotin’s approach is utilized in the

current research. Several numerical examples are carried out to investigate the influences

of geometrical parameters of auxetic cell and GNPs reinforcement on the structural be￾haviors. The results obtained in the current research can be considered as benchmark

ones to investigate auxetic sandwich plate structures.

Keywords: Honeycomb sandwich plate, Auxetic, Negative Poisson’s ratio, Graphene

platelets reinforcement, Polygonal mesh, Dynamic instability.

1. Introduction

1.1. State-of-the-art review

In recent years, engineering material science has achieved outstanding accomplish￾ments in terms of design as well as manufacture. Numerous advanced engineering mate￾rials with various great mechanical features have been introduced in the literature [1–4].

∗Corresponding author.

Email addresses: [email protected] (Nam V. Nguyen), [email protected]

(Jaehong Lee )

Preprint submitted to Composite Structures October 14, 2020

Among them, sandwich plate structures with a honeycomb core have widespread appli￾cations in many industrial fields and attracted significant attention of scientists. The

composite honeycomb materials possess various excellent properties such as ultra-light,

strength-to-weight ratio, acoustic damping, superior energy absorption capabilities, etc.

Consequently, numerous studies have been conducted to examine the behaviors of these

structures under various different conditions [5–7]. Furthermore, honeycombs with neg￾ative Poisson’s ratio, called auxetic, have also gained much attention from researchers.

Auxetic materials may offer various benefits over traditional positive Poisson’s ratio be￾haviors such as impact absorption, increased bending stiffness and shear resistance, frac￾ture resistance, improved indentation resistance, synclastic behavior [8] and so on. By

using cellular material theory, Scarpa and Tomlinson [9] described the mechanical prop￾erties of re-entrant cell honeycombs with in-plane negative Poisson’s ratio value. Then,

Whitty et al. [10] presented the mechanical and thermal properties of both conventional

and auxetic honeycombs based on the finite element model. Jin et al. [11] proposed a

novel sandwich structure based on auxetic cell honeycomb cores as well as investigated

its dynamic responses under blast loading by exploiting the LS-DYNA software. Both

experimental tests and numerical simulations of the auxetic honeycomb core sandwich

panels subjected to impact and close-in blast loadings are reported by Qi et al. [12].

That study pointed out that the auxetic panels perform better than conventional hon￾eycomb ones under the same size, areal density and material. Besides, Imbalzano et al.

[13] performed the dynamic behaviors of the sandwich panels with auxetic/conventional

honeycomb core and metal facets under the impulsive loadings. In addition, the nonlin￾ear dynamic responses of the auxetic honeycomb sandwich plate structures subjected to

impact dynamic loads are reported by Zhang et al. [14]. Grounded on analytical ap￾proach, Duc et al. carried out a series of investigations regarding the sandwich plate/shell

structures with auxetic honeycomb core layer under various different boundary conditions

and loadings [15–18]. In addition, the dynamic behaviors of auxetic honeycomb plates

integrated with agglomerated carbon nanotubes-reinforced facets under blast loads can

be found in [19]. By considering the influence of the temperature field on the mechanical

properties of auxetic structures, Jopek et al. [20] proposed several novel composite struc￾tures based on the anti-tetrachiral and re-entrant honeycomb. In addition, Strek et al.

[21] examined the effect of some mechanical parameters including damping loss factor of

the foam core under harmonic loads. In another work, the frequency and energy of vibra￾tions of auxetic honeycomb sandwich plate having negative Poisson’s ratio are presented

by Zhu et al. [22] based on a combination of the Reddy’s third-order shear deformation

theory, von Karman nonlinear theory and Galerkin approach. A brief review on works

regarding materials having zero or negative Poisson’s ratio can be found in [23].

Recently, carbon nanotubes (CNTs) [24–26] and graphene nanoplatelets (GNPs) [27,

28] have been known as the prominent reinforcing phases embedded into the matrix phase

to enhance the performance of engineering structures. Compared to CNTs, the GNPs have

numerous great reinforcement characteristics to become an excellent candidate for rein￾forcement in composites [29]. Thanks to these striking features, graphene nanoplatelets￾based materials are now an important element for various engineering applications [2, 30].

For instance, Rafiee et al. [31] conducted a number of experimental tests and concluded

that by embedding 0.1 % weight fraction of GNPs, both strength and stiffness of the rein￾2