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

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