A comprehensive analysis of porous graphene-reinforced curved beams by finite element approach using higher-order structural theory: Bending, vibration and buckling

被引:132
作者
Anirudh, B. [1 ]
Ganapathi, M. [1 ]
Anant, C. [1 ]
Polit, O. [2 ]
机构
[1] Vellore Inst Technol, Sch Mech Engn, Vellore 632014, Tamil Nadu, India
[2] Univ Paris Nanterre, UPL, LEME, 50 Rue Sevres, F-92410 Ville Davray, France
关键词
Higher-order theory; Finite element; Bending; Free vibration; Buckling; Porous curved beams; Graphene reinforcement; LAMINATED CYLINDRICAL PANELS; NONLINEAR VIBRATION; COMPOSITE PLATES; ELASTIC FOUNDATIONS; SHELLS; MODEL; NANOCOMPOSITES; PRESSURE; DYNAMICS; BEHAVIOR;
D O I
10.1016/j.compstruct.2019.110899
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, the bending, vibration and buckling characteristics of functionally graded porous graphene-reinforced nanocomposite curved beams are studied based on a trigonometric shear deformation theory. The effect of various theories deduced from the proposed formulation on the static and dynamic behavior of curved nanocomposite beams is also studied. The governing equilibrium equations are formed by applying Lagrangian equations of motion coupled with the finite element approach employing a 3-noded C-1 continuous curved beam element. The methodology developed here is tested for problems having known solutions in the open literature. A detailed investigation involving various parameters such as coefficient of porosity, type of distribution pattern for the porosity and graphene platelets, radius of curvature of curved beam, length-to-thickness ratio, the platelet geometry, and boundary conditions on the static bending, free vibration and elastic stability behavior of nanocomposite curved beams is conducted. New results for certain boundary conditions of graphene reinforced curved beams are presented. Participation of various types of in-plane and transverse bending modes responsible for yielding the lowest critical buckling loads/natural frequencies are also highlighted.
引用
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页数:13
相关论文
共 66 条
[1]  
[Anonymous], 1961, Theory of Elastic Stability
[2]  
[Anonymous], 2002, MATER DESIGN, V23, P119, DOI [10.1016/S0261-3069(01)00049-8, DOI 10.1016/S0261-3069(01)00049-8]
[3]   Influence of Macro-Topography on Damage Tolerance and Fracture Toughness of 0.1 wt % Multi-Layer Graphene/Clay-Epoxy Nanocomposites [J].
Atif, Rasheed ;
Inam, Fawad .
POLYMERS, 2016, 8 (07)
[4]   Manufacture, characterisation and application of cellular metals and metal foams [J].
Banhart, J .
PROGRESS IN MATERIALS SCIENCE, 2001, 46 (06) :559-U3
[5]   Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection [J].
Barati, Mohammad Reza ;
Zenkour, Ashraf M. .
COMPOSITE STRUCTURES, 2017, 181 :194-202
[6]   Elastic buckling and static bending of shear deformable functionally graded porous beam [J].
Chen, D. ;
Yang, J. ;
Kitipornchai, S. .
COMPOSITE STRUCTURES, 2015, 133 :54-61
[7]   Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams [J].
Chen, Da ;
Yang, Jie ;
Kitipornchai, Sritawat .
COMPOSITES SCIENCE AND TECHNOLOGY, 2017, 142 :235-245
[8]   Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core [J].
Chen, Da ;
Kitipornchai, Sritawat ;
Yang, Jie .
THIN-WALLED STRUCTURES, 2016, 107 :39-48
[9]   Dynamics of rotating composite beams: A comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements [J].
Deepak, B. P. ;
Ganguli, Ranjan ;
Gopalakrishnan, S. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2012, 64 (01) :110-126
[10]   Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion [J].
Dong, Y. H. ;
Li, Y. H. ;
Chen, D. ;
Yang, J. .
COMPOSITES PART B-ENGINEERING, 2018, 145 :1-13