Large deflection analysis of FG-CNT reinforced composite skew plates resting on Pasternak foundations using an element-free approach
Source abstract
Abstract
Abstract The first known geometrically nonlinear large deformation analysis of functionally graded carbon nanotube (FG-CNT) reinforced composite skew plates resting on Pasternak foundations is presented. The skew plate studied is of moderate thickness and, hence, the first-order shear deformation theory (FSDT) and von Karman assumption are adopted to take care of the transverse shear strains, rotary inertia and moderate rotations. The element-free IMLS-Ritz method is employed in the present analysis. Parametric studies are conducted to examine the effects of CNT content by volume, elastic foundation, skew angle, plate width-to-thickness ratio, plate aspect ratio and boundary conditions on the nonlinear responses of the FG-CNT reinforced composite skew plates. The results of the present study are obtained for simplified cases so that comparison studies can be made with the values reported in the literature.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Nonlocal and gradient elasticity in micro/nano structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (35)
Show source-provided references
1. A review of meshless methods for laminated and functionally graded plates and shells10.1016/j.compstruct.2011.02.018 ↗
2. A. Kawasaki RW, M. Yamanouchi, M. Koizumi, T. Hirai, in: I. Shiota (Ed.), FGM’90, Proceedings of the First International Symposium on Functionally Gradient Materials, 1990, pp. 197–202.
3. M. Koizumi, The concept of FGM, ceramic transactions, Funct. Gradient Mater. 34 3–10.
4. Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review10.1016/j.compstruct.2014.09.041 ↗
5. Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory10.1080/15376494.2013.779050 ↗
6. Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory10.1016/j.euromechsol.2013.09.001 ↗
7. NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter10.1016/j.compstruct.2012.11.008 ↗
8. An edge-based smoothed finite element method for analysis of laminated composite plates10.1142/S0219876213400057 ↗
9. Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS-based isogeometric approach10.1002/nme.4282 ↗
10. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments10.1016/j.compstruct.2009.04.026 ↗
11. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part I: axially-loaded shells10.1016/j.compstruct.2011.02.011 ↗
12. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part II: pressure-loaded shells10.1016/j.compstruct.2011.04.005 ↗
13. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells10.1016/j.compositesb.2011.10.004 ↗
14. Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method10.1016/j.cma.2012.12.007 ↗
15. Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels10.1016/j.cma.2014.01.024 ↗
16. Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments10.1016/j.engstruct.2014.08.038 ↗
17. A meshfree thin shell method for non-linear dynamic fracture10.1002/nme.2013 ↗
18. Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method10.1016/j.compstruct.2014.10.009 ↗
19. Vibration characteristic of moderately thick functionally graded carbon nanotube reinforced composite skew plates10.1016/j.compstruct.2014.11.070 ↗
20. Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach10.1016/j.compositesb.2015.01.033 ↗
21. An improved moving least-squares Ritz method for two-dimensional elasticity problems10.1016/j.amc.2014.07.001 ↗
22. An element-free computational framework for elastodynamic problems based on the IMLS-Ritz method10.1016/j.enganabound.2015.01.007 ↗
23. Mura · 1987
24. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates10.1016/j.jsv.2006.06.068 ↗
25. Reproducing kernel particle methods for large deformation analysis of non-linear structures10.1016/S0045-7825(96)01083-3 ↗
26. Nodal integration of the element-free Galerkin method10.1016/S0045-7825(96)01079-1 ↗
27. A stabilized conforming nodal integration for Galerkin mesh-free methods10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A ↗
28. Numerical integration of the Galerkin weak form in meshfree methods10.1007/s004660050403 ↗
29. de Borst · 2012
30. Geometrically nonlinear static and dynamic analysis of functionally graded skew plates10.1016/j.cnsns.2012.12.034 ↗
31. Chirality- and size-dependent elastic properties of single-walled carbon nanotubes
32. Collapse of single-wall carbon nanotubes is diameter dependent10.1103/PhysRevLett.92.095501 ↗
33. Simulation of elastic properties of single-walled carbon nanotubes10.1016/S0266-3538(03)00074-5 ↗
34. Investigation of temperature effect on the mechanical properties of single-walled carbon nanotubes10.1016/j.compstruct.2011.03.007 ↗
35. Elastic properties of crystals of single-walled carbon nanotubes10.1016/S0038-1098(00)00070-3 ↗