Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

Cong, Pham Hong; Phuc, Pham Minh; Thiem, Hoang Thi; Manh, Dương Tuan; Duc, Nguyen Dinh

doi:10.25073/2588-1140/vnunst.5000

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…where the bending stiffness D is taken as ( ) 1 shows that there is almost total agreement between the results of the present paper and the results of the study in Ref [12]. This means that the method used in this research is valid.…”

Section: Verification Studysupporting

confidence: 81%

“…This means that the method used in this research is valid. After analyzing the process in Ansys, there is a negligible difference of about 0.4% between the data of the obtained results and that of the analyzed results in the reference article [12]. Table 4 and Figure 10 show an excellent agreement between the calculated results from the present paper and the results in the study of Ref.…”

Section: Verification Studysupporting

confidence: 69%

“…In the same year, Cong Th al. [12] studied static bending analysis of auxetic plate by using FEM and a new third-order shear deformation plate theory. Meanwhile, some authors, such as Tomasz Strek Th al.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Free Vibration and Bending of Gradient Auxetic Plate Using Finite Element Method

Cong,

Tung,

Hai

et al. 2021

MaP

Self Cite

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In recent years, there has been a new approach to the material industry that uses sandwich structures with auxetic honeycomb cores with the interesting property of negative Poisson's ratios. In this paper, the Finite Element Method (in ANSYS) is used to investigate natural frequency of vibration and bending characteristics under varying pressure loads applied on the top skin when changing fundamental properties of some gradient configurations, including angular gradient, thickness gradient and functional gradient configurations of the auxetic plate with honeycomb structure. Thereby, the advantages of each configuration are investigated, studied, and obtained; therefore, it is expected to be applied in various industry sectors, such as wind turbine blades, aircraft wings, among others.

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Section: Verification Studysupporting

confidence: 81%

Section: Verification Studysupporting

confidence: 69%

See 1 more Smart Citation

Free Vibration and Bending of Gradient Auxetic Plate Using Finite Element Method

Cong,

Tung,

Hai

et al. 2021

MaP

Self Cite

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An analytical model for the static behaviour of honeycomb sandwich plates with auxetic cores using higher-order shear deformation theories

Karimi,

Khoshgoftar,

Karimi

et al. 2023

Int J Mech Mater Des

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This paper presents an analytical model to investigate the static behaviour of sandwich plates comprised of two isotropic face sheets and a honeycomb core. Through-thickness transverse shear stresses were considered using a unified displacement field with which various plate theories were implemented, i.e., exponential, third-order, hyperbolic, sinusoidal, fifth-order, Mindlin, and the classic plate theory. The equilibrium equations of a simply-supported sandwich panel were derived using the principle of virtual work and Navier solution was obtained under static transverse loading. After validating of the model, various mechanical and geometrical parameters were varied to characterise the behaviour of the structure under regular and auxetic response. It was found that the auxeticity of the core strongly affects the mechanical response, e.g., in controlling deflection, in-plane anisotropy, and Poisson’s ratio. Cell wall angle was found to be most critical parameter that can be used to adjust anisotropy, out-of-plane shear modulus, transverse shear stress distribution, and deflection of the panel. Also the cell aspect ratio controls the sensitivity of the core response to other geometrical variations. In terms of the higher-order theories, the deflection-dependent parameter of the unified formulation seems to have more control of maximum deflection compared to independent rotations. Auxeticity of the core showed some benefits in controlling anisotropy, deflection and providing additional out-of-plane shear rigidity. Overall, since there is not one-to-one relationship between specific values of Poisson’s ratio, anisotropy, and shear rigidity, careful design considerations must be invested to obtain a correct mechanical response.

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Dynamic Analysis of Sandwich Auxetic Honeycomb Plates Subjected to Moving Oscillator Load on Elastic Foundation

Tran

Pham

Nguyen-Thoi

et al. 2020

Advances in Materials Science and Engineering

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Based on Mindlin plate theory and finite element method (FEM), dynamic response analysis of sandwich composite plates with auxetic honeycomb core resting on the elastic foundation (EF) under moving oscillator load is investigated in this work. Moving oscillator load includes spring-elastic k and damper c. The EF with two coefficients was modelled by Winkler and Pasternak. The system of equations of motion of the sandwich composite plate can be solved by Newmark’s direct integration method. The reliability of the present method is verified through comparison with the results other methods available in the literature. In addition, the effects of structural parameters, material properties, and moving oscillator loads to the dynamic response of the auxetic honeycomb plate are studied.

show abstract

Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

Cited by 4 publications

References 11 publications

Free Vibration and Bending of Gradient Auxetic Plate Using Finite Element Method

Free Vibration and Bending of Gradient Auxetic Plate Using Finite Element Method

An analytical model for the static behaviour of honeycomb sandwich plates with auxetic cores using higher-order shear deformation theories

Dynamic Analysis of Sandwich Auxetic Honeycomb Plates Subjected to Moving Oscillator Load on Elastic Foundation

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