Static and dynamic stability responses of multilayer functionally graded carbon nanotubes reinforced composite nanoplates via quasi 3D nonlocal strain gradient theory  

作　　者：Ahmed Amine Daikh Mohamed Sid Ahmed Houari Mohamed Ouejdi Belarbi Salwa A.Mohamed Mohamed A.Eltaher 

机构地区：[1]Laboratoire D'Etude des Structures et de Mecanique des Materiaux,Departement de Genie Civil,Facultedes Sciences et de La Technologie,Universite Mustapha Stambouli B.P.305,R.P.,29000,Mascara,Algeria [2]Laboratoire de Genie Energetique et Materiaux,LGEM,Universite de Biskra,B.P.145,R.P,07000,Biskra,Algeria [3]Department of Engineering Mathematics,Zagazig University,P.O.Box 44519,Zagazig,Egypt [4]Faculty of Engineering,Mechanical Engineering Department,King Abdulaziz University,P.O.Box 80204,Jeddah,Saudi Arabia [5]Faculty of Engineering,Mechanical Design and Production Department,Zagazig University,P.O.Box 44519,Zagazig,Egypt

出　　处：《Defence Technology（防务技术）》2022年第10期1778-1809,共32页Defence Technology

基　　金：supported by The Algerian General Directorate of Scientific Research and Technological Development(DGRSDT);University of Mustapha Stambouli of Mascara(UMS Mascara)in Algeria。

摘　　要：This manuscript presents the comprehensive study of thickness stretching effects on the free vibration,static stability and bending of multilayer functionally graded(FG)carbon nanotubes reinforced composite(CNTRC)nanoplates.The nanoscale and microstructure influences are considered through a modified nonlocal strain gradient continuum model.Based on power-law functions,four different patterns of CNTs distribution are considered in this analysis,a uniform distribution UD,FG-V CNTRC,FG-X CNTRC,and FG-O CNTRC.A 3D kinematic shear deformation theory is proposed to include the stretching influence,which is neglected in classical theories.Hamilton's principle is applied to derive the governing equations of motion and associated boundary conditions.Analytical solutions are developed based on Galerkin method to solve the governing equilibrium equations based on the generalized higher-order shear deformation theory and the nonlocal strain gradient theory and get the static bending,buckling loads,and natural frequencies of nanoplates.Verification with previous works is presented.A detailed parametric analysis is carried out to highlight the impact of thickness stretching,length scale parameter(nonlocal),material scale parameter(gradient),CNTs distribution pattern,geometry of the plate,various boundary conditions and the total number of layers on the stresses,deformation,critical buckling loads and vibration frequencies.Many new results are also reported in the current study,which will serve as a benchmark for future research.

关 键 词：3D shear deformation theory Free vibration Buckling Bending Galerkin method Functionally graded nanotube Nonlocal strain gradient theory 

分 类 号：TJ04[兵器科学与技术—兵器发射理论与技术]