Free vibrations and buckling analysis of cross-ply composite nanoplates by means of a Mesh Free Radial Point Interpolation Method

被引：5

作者：

Saitta, Serena ^{[1
]}

Luciano, Raimondo ^{[2
]}

Vescovini, Riccardo ^{[3
]}

Fantuzzi, Nicholas ^{[4
]}

Fabbrocino, Francesco ^{[1
]}

机构：

[1] Telematic Univ Pegaso, Ctr Direzionale Isola F2, Dept Engn, I-80143 Naples, Italy

[2] Parthenope Univ, Ctr Direz ISOLA C4, Dept Engn, I-80133 Naples, Italy

[3] Politecn Milan, Dept Aerosp Sci & Technol, Via Masa, 34, I-20156 Milan, Italy

[4] Univ Bologna, Dept Civil Chem Environm & Mat Engn, Viale Risorgimento, I-40136 Bologna, Italy

来源：

COMPOSITE STRUCTURES | 2022年 / 298卷

关键词：

Mesh less method; Radial Point Interpolation Method; Strain gradient theory; Laminated composite nano plates; DYNAMIC-ANALYSIS; LAYERWISE THEORY; GRADIENT; MODEL; PLATES; DEFORMATION; NANOBEAMS; STRESS; FORMULATION; FIELDS;

D O I：

10.1016/j.compstruct.2022.115989

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper deals with the dynamic analysis of composite simply supported nanoplates modelled according to the second order strain gradient theory. Numerical results are obtained by means of a Mesh Free Radial Point Interpolation Method. Both uniaxial and biaxial buckling as well as free vibration analysis are considered. The buckling analysis is performed on plates with different aspect ratio a/b and variable E1/E2 ratio. For the vibration analysis, the geometry and mechanical properties of the plate are kept constant while different lamination sequences are accounted for. Moreover, different values of the nonlocal parameter are considered for both analyses. Finally, the numerical results are compared against the analytical results find in the literature, the comparison being made in terms of percentage error between the two.

引用

页数：11

共 72 条

[1] ON THE ROLE OF GRADIENTS IN THE LOCALIZATION OF DEFORMATION AND FRACTURE [J].

AIFANTIS, EC .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1992, 30 (10) :1279-1299

[2] Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory [J].

Akgoz, Bekir ;

Civalek, Omer .

ACTA ASTRONAUTICA, 2016, 119 :1-12

[3] Bending analysis of FG microbeams resting on Winkler elastic foundation via strain gradient elasticity [J].

Akgoz, Bekir ;

Civalek, Omer .

COMPOSITE STRUCTURES, 2015, 134 :294-301

[4] A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory [J].

Akgoz, Bekir ;

Civalek, Omer .

ACTA MECHANICA, 2015, 226 (07) :2277-2294

[5] Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory [J].

Akgoz, Bekir ;

Civalek, Omer .

ARCHIVE OF APPLIED MECHANICS, 2012, 82 (03) :423-443

[6]

Ali Alizadeh, 2021, J APPL COMPUT MECH

[7] Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model [J].

Apuzzo, Andrea ;

Barretta, Raffaele ;

Luciano, Raimondo ;

de Sciarra, Francesco Marotti ;

Penna, Rosa .

COMPOSITES PART B-ENGINEERING, 2017, 123 :105-111

[8] A closed-form model for torsion of nanobeams with an enhanced nonlocal formulation [J].

Apuzzo, Andrea ;

Barretta, Raffaele ;

Canadija, Marko ;

Feo, Luciano ;

Luciano, Raimondo ;

de Sciarra, Francesco Marotti .

COMPOSITES PART B-ENGINEERING, 2017, 108 :315-324

[9] Nonlinear vibration of multilayer shell-type structural elements with double curvature consisting of CNT patterned layers within different theories [J].

Avey, M. ;

Fantuzzi, N. ;

Sofiyev, A. H. ;

Kuruoglu, N. .

COMPOSITE STRUCTURES, 2021, 275

[10] A new computationally efficient finite element formulation for nanoplates using second-order strain gradient Kirchhoff's plate theory [J].

Babu, Bishweshwar ;

Patel, B. P. .

COMPOSITES PART B-ENGINEERING, 2019, 168 :302-311

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