A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field

다국어 초록 (Multilingual Abstract)

In this study, nonlocal nonlinear buckling analysis of embedded polymeric temperature-dependent microplates resting on an elasticmatrix as orthotropic temperature-dependent elastomeric medium is investigated. The microplate is reinforced by single-walled carbonnanotubes (SWCNTs) in which the equivalent material properties of nanocomposite are estimated based on the rule of mixture. Due tomagnetic properties of SWCNTs, the structure is subjected to magnetic field. For the carbon-nanotube reinforced composite (CNTRC)plate, both cases of uniform distribution (UD) and functionally graded (FG) distribution patterns of SWCNT reinforcements are considered.

The small size effects of microplate are considered based on Eringen’s nonlocal theory. Based on orthotropic Mindlin plate theoryalong with von Kármán geometric nonlinearity and Hamilton's principle, the governing equations are derived. Generalized differentialquadrature method (GDQM) is applied for obtaining the buckling load of system. The effects of different parameters such as magneticfield, nonlocal parameters, volume fractions of SWCNTs, distribution type of SWCNTs in polymer, elastomeric medium, aspect ratioand temperature are considered on the nonlinear buckling of the microplate. Results indicate that the buckling load increases with increasingmagnetic field.

참고문헌 (Reference)

1 H. Farahmand, "Thermal buckling analysis of rectangular microplates using higher continuity p-version finite element method" 49 : 1584-1591, 2011

2 A. C. Eringen, "On nonlocal elasticity" 10 : 1-16, 1972

3 N. F. Morozov, "On modes of buckling for a plate on an elastic foundation" 45 : 519-528, 2010

4 H. S. Shen, "Nonlocal beam model for nonlinear analysis of carbon nanotubes on elastomeric substrates" 50 : 1022-1029, 2011

5 H. S. Shen, "Nonlinear bending of shear deformable laminated plates under transverse and in-plane loads and resting on elastic foundations" 50 : 131-142, 2000

6 H. S. Shen, "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments" 91 : 9-19, 2009

7 S. A. Zaghloul, "Nonlinear behavior of symmetrically laminated plates" 42 : 234-236, 1975

8 J. P. Salvetat-Delmotte, "Mechanical properties of carbon nanotubes: a fiber digest for beginners" 40 : 1729-1734, 2002

9 S. Jafari Mehrabadi, "Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes" 43 : 2031-2040, 2012

10 A. Kutlu, "Large deflection bending analysis of elliptic plates on orthotropic elastic foundation with mixed finite element method" 65 : 64-74, 2012

11 A. K. Baltacıoğlu, "Large deflection analysis of laminated composite plates resting on nonlinear elastic foundations by the method of discrete singular convolution" 88 : 290-300, 2011

12 Z. X. Lei, "Large deflection analysis of functionally graded carbon nanotubereinforced composite plates by the element-freekp-Ritz method" 256 : 189-199, 2013

13 B. Fiedler, "Fundamental aspects of nanoreinforced composites" 66 : 3115-3125, 2006

14 H. Akhavan, "Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part I: Buckling analysis" 44 : 968-978, 2009

15 H. Akhavan, "Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation, Part II: Frequency analysis" 44 : 951-961, 2009

16 A. G. Arani, "Elastic foundation effect on nonlinear thermo-vibration of embedded double-layered orthotropic grapheme sheets using differential quadrature method" 227 : 862-879, 2013

17 J. D. Fidelus, "Detachment of nanotubes from a polymer matrix" 36 : 1555-1561, 2005

18 A. M. K. Esawi, "Carbon nanotube reinforced composites: potential and current challenges" 28 : 2394-2401, 2007

19 A. M. K. Esawi, "Carbon nanotube reinforced composites: potential and current challenges" 28 : 2394-2401, 2007

20 S. M. Kim, "Buckling and vibration of a plate on elastic foundation subjected to in-plane compression and moving loads" 41 : 5647-5661, 2004

21 A. R. Ahmadi, "Buckling analysis of rectangular flexural microplates using higher continuity p-version finite-element method" 10 : 249-259, 2012

22 K. Swaminathanand, "Analytical solutions using a higher-order refined theory for the static analysis of antisymmetric angle-ply composite and sandwich plates" 64 : 405-417, 2004

23 A. J. M. Ferreira, "Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method" 34 : 627-636, 2003

24 J. N. Reddy, "A simple higher order theory for laminated composite plates" 51 : 745-752, 1984