Stability Analysis of Smart FG Sandwich Plates with Auxetic Core

Electric Voltage ◽

Negative Poisson's Ratio ◽

Core Thickness

As a new model, functionally graded piezoelectric (FGP) sandwich plate with negative Poisson’s ratio honeycomb core (auxetic core) is considered in this paper. Buckling analysis of the FGP sandwich plate is investigated based on a novel four-unknown shear deformation plate theory. The electrical and mechanical properties of the face layers are continuously varied through the thickness of the layers. This variation is achieved using a power law distribution in terms of the constituents volume fraction. The core layer composed of hexagonal honeycomb cells with negative Poisson’s ratio was made of a metallic material. The sandwich plate is exposed to uniaxial or biaxial compressive loads as well as electric voltage. Five stability differential equations are established based on the principle of virtual work including mechanical and electric loads. The obtained buckling load is compared with that available in the literature. Impacts of various parameters like the power law index, load parameter, external applied voltage, core thickness, boundary conditions and plate geometry on the buckling load of the smart composite plates with auxetic core are investigated. From the numerical results, one can find that the increase of electric voltage and core thickness decreases the buckling load.

On static and dynamic design criteria of sandwich plate structures with a negative Poisson’s ratio core

Smart Materials and Structures ◽

10.1201/9781482268560-78 ◽

1998 ◽

pp. 577-584

Keyword(s):

Poisson’S Ratio ◽

Sandwich Plate ◽

Poisson's Ratio ◽

Design Criteria ◽

Plate Structures ◽

Dynamic Design ◽

Structural topology optimization with positive and negative Poisson’s ratio materials

Engineering Computations ◽

10.1108/ec-06-2019-0291 ◽

2020 ◽

Vol 37 (5) ◽

pp. 1805-1822

Author(s):

Jiao Jia ◽

Jianxing Hu ◽

Yongbin Wang ◽

Shiqing Wu ◽

Kai Long

Keyword(s):

Topology Optimization ◽

Young’S Modulus ◽

Poisson’S Ratio ◽

Volume Fraction ◽

Young's Modulus ◽

Optimization Technique ◽

Poisson's Ratio ◽

Content Type ◽

Purpose Negative Poisson’s ratio (NPR) material has huge potential applications in various industrial fields. However, lower Young’s modulus due to the porous form limits its further applications. Based on the topology optimization technique, this paper aims to optimize the structure consisting two isotropic porous materials with positive Poisson’s ratio (PPR) and NPR and void. Design/methodology/approach Under prescribed dual-volume fraction constraints, the structural compliance is taken as the objective. Young’s modulus and Poisson’s ratio are, respectively, interpolated and expressed with Lamé’s parameters for easier programming. Accordingly, the sensitivities can be derived through the chain rule. Several two- and three-dimensional illustrative examples are presented to demonstrate the capability and effectiveness of the proposed approach. The influences of Poisson’s ratios, volume fractions and Young’s moduli on the optimized results are investigated. Findings For NPR materials having unique load responses, the resulting topologies of PPR and NPR materials have distinct material distributions in comparison of the results from two PPR materials. Furthermore, it is observed that higher structural stiffness can be achieved from the hybrid of PPR and NPR materials than that obtained from the structures made of individual constituent materials. Originality/value A topology optimization methodology is proposed to design structures composed of PPR and NPR materials.

In-plane dynamic response and multi-objective optimization of negative Poisson's ratio (NPR) honeycomb structures with sinusoidal curve

Composite Structures ◽

10.1016/j.compstruct.2021.114018 ◽

2021 ◽

pp. 114018

Author(s):

Fengxiang Xu ◽

Kejiong Yu ◽

Lin Hua

Keyword(s):

Dynamic Response ◽

Poisson’S Ratio ◽

Poisson's Ratio ◽

Multi Objective Optimization ◽

Honeycomb Structures ◽

Multi Objective ◽

Effect of negative Poisson's ratio on the postbuckling behavior of axially compressed FG-GRMMC laminated cylindrical shells surrounded by an elastic medium

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2021.104231 ◽

2021 ◽

Vol 88 ◽

pp. 104231 ◽

Cited By ~ 1

Author(s):

Hui-Shen Shen ◽

Y. Xiang

Keyword(s):

Elastic Medium ◽

Poisson’S Ratio ◽

Cylindrical Shells ◽

Poisson's Ratio ◽

Postbuckling Behavior ◽

Negative Poisson's Ratio ◽

Laminated Cylindrical Shells

In-plane elasticity of a novel vertical strut combined re-entrant honeycomb structure with negative Poisson’s ratio

Thin-Walled Structures ◽

10.1016/j.tws.2021.107634 ◽

2021 ◽

Vol 163 ◽

pp. 107634

Author(s):

Xiaolong Zhang ◽

Ruilan Tian ◽

Ziwen Zhang ◽

Guijing Li ◽

Wenjie Feng

Keyword(s):

Poisson’S Ratio ◽

Honeycomb Structure ◽

Plane Elasticity ◽

Poisson's Ratio ◽

Free vibration and sound insulation of functionally graded honeycomb sandwich plates

Journal of Sandwich Structures & Materials ◽

10.1177/10996362211020440 ◽

2021 ◽

pp. 109963622110204

Author(s):

Fenglian Li ◽

Wenhao Yuan ◽

Chuanzeng Zhang

Keyword(s):

Free Vibration ◽

Poisson’S Ratio ◽

Functionally Graded ◽

Poisson's Ratio ◽

Dynamic Equations ◽

Sound Insulation ◽

Sandwich Plates ◽

Honeycomb Sandwich ◽

Based on the hyperbolic tangent shear deformation theory, free vibration and sound insulation of two different types of functionally graded (FG) honeycomb sandwich plates with negative Poisson’s ratio are studied in this paper. Using Hamilton’s principle, the vibration and vibro-acoustic coupling dynamic equations for FG honeycomb sandwich plates with simply supported edges are established. By applying the Navier’s method and fluid–solid interface conditions, the derived governing dynamic equations are solved. The natural frequencies and the sound insulation of FG honeycomb sandwich plates obtained in this work are compared with the numerical results by the finite element simulation. It is proven that the theoretical models for the free vibration and the sound insulation are accurate and efficient. Moreover, FG sandwich plates with different honeycomb cores are investigated and compared. The corresponding results show that the FG honeycomb core with negative Poisson’s ratio can yield much lower frequencies. Then, the influences of various geometrical and material parameters on the vibration and sound insulation performance are systematically analyzed.