Nonlocal strain gradient finite element analysis of nanobeams using two-variable trigonometric shear deformation theory

被引：24

作者：

Merzouki, Tarek ^{[1
]}

Houari, Mohammed Sid Ahmed ^{[2
]}

Haboussi, Mohamed ^{[3
]}

Bessaim, Aicha ^{[2
]}

Ganapathi, Manickam ^{[4
]}

机构：

[1] Univ Versailles St Quentin, LISV, 10-12 Ave Europe, F-78140 Velizy Villacoublay, France

[2] Univ Mustapha Stambouli Mascara, Lab Etud Struct & Mecan Mat, Mascara, Algeria

[3] Univ Paris 13, Sorbonne Paris Cite, CNRS, Lab Sci Procedes & Mat LSPM,UPR 3407, F-93430 Villetaneuse, France

[4] VIT Univ, Sch Mech Engn, Vellore 632014, Tamil Nadu, India

来源：

ENGINEERING WITH COMPUTERS | 2022年 / 38卷 / SUPPL 1期

关键词：

Nonlocal strain gradient theory; Variational formulation; Finite element method; Static analysis; Free vibration; Elastic buckling; FUNCTIONALLY GRADED BEAMS; WAVE-PROPAGATION ANALYSIS; FREE-VIBRATION ANALYSIS; BUCKLING ANALYSIS; ELASTICITY THEORY; GRAPHENE SHEETS; MODEL; PLATES;

D O I：

10.1007/s00366-020-01156-y

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, a new trigonometric two-variable shear deformation beam nonlocal strain gradient theory is developed and applied to investigate the combined effects of nonlocal stress and strain gradient on the bending, buckling and free vibration analysis of nanobeams. The model introduces a nonlocal stress field parameter and a length scale parameter to capture the size effect. The governing equations derived are solved employing finite element method using a 3-nodes beam element, developed for this purpose. The predictive capability of the proposed model is shown through illustrative examples for bending, buckling and free vibration of nanobeams. Comparisons with other higher-order shear deformation beam theory are also performed to validate its numerical implementation and assess its accuracy within the nonlocal context.

引用

页码：647 / 665

页数：19

共 68 条

[1] A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates [J].

Abualnour, Moussa ;

Houari, Mohammed Sid Ahmed ;

Tounsi, Abdelouahed ;

Bedia, El Abbes Adda ;

Mahmoud, S. R. .

COMPOSITE STRUCTURES, 2018, 184 :688-697

[2] 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

[3] The role of interfaces in enhancing the yield strength of composites and polycrystals [J].

Aifantis, KE ;

Willis, JR .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2005, 53 (05) :1047-1070

[4] Nonlocal strain gradient theory for bending, buckling, and vibration of viscoelastic functionally graded curved nanobeam embedded in an elastic medium [J].

Allam, Mohamed N. M. ;

Radwan, Ahmed F. .

ADVANCES IN MECHANICAL ENGINEERING, 2019, 11 (04)

[5] Gradient elasticity and flexural wave dispersion in carbon nanotubes [J].

Askes, Harm ;

Aifantis, Elias C. .

PHYSICAL REVIEW B, 2009, 80 (19)

[6] Thermo-mechanical buckling analysis of embedded nanosize FG plates in thermal environments via an inverse cotangential theory [J].

Barati, Mohammad Reza ;

Zenkour, Ashraf M. ;

Shahverdi, Hossein .

COMPOSITE STRUCTURES, 2016, 141 :203-212

[7] Thermal buckling analysis of nanoplates based on nonlocal elasticity theory with four-unknown shear deformation theory resting on Winkler-Pasternak elastic foundation [J].

Bouazza, Mokhtar ;

Becheri, Tawfiq ;

Boucheta, Abderrahmane ;

Benseddiq, Noureddine .

INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2016, 17 (5-6) :362-373

[8] A displacement-based finite element formulation for the analysis of laminated composite plates [J].

Castellazzi, G. ;

Krysl, P. ;

Bartoli, I. .

COMPOSITE STRUCTURES, 2013, 95 :518-527

[9] Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory [J].

Civalek, Omer ;

Demir, Cigdem .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (05) :2053-2067

[10] Temperature dependent thermomechanical bending response of functionally graded sandwich plates [J].

Daikh, Ahmed Amine ;

Bensaid, Ismail ;

Zenkour, Ashraf M. .

ENGINEERING RESEARCH EXPRESS, 2020, 2 (01)

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