Steel and Composite Structures

  • 제27권3호
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  • Pages.255-271
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  • 2018
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Elastodynamic and wave propagation analysis in a FG graphene platelets-reinforced nanocomposite cylinder using a modified nonlinear micromechanical model

  • 투고 : 2017.10.08
  • 심사 : 2018.03.03
  • 발행 : 2018.05.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper deals with the transient dynamic analysis and elastic wave propagation in a functionally graded graphene platelets (FGGPLs)-reinforced composite thick hollow cylinder, which is subjected to shock loading. A micromechanical model based on the Halpin-Tsai model and rule of mixture is modified for nonlinear functionally graded distributions of graphene platelets (GPLs) in polymer matrix of composites. The governing equations are derived for an axisymmetric FGGPLs-reinforced composite cylinder with a finite length and then solved using a hybrid meshless method based on the generalized finite difference (GFD) and Newmark finite difference methods. A numerical time discretization is performed for the dynamic problem using the Newmark method. The dynamic behaviors of the displacements and stresses are obtained and discussed in detail using the modified micromechanical model and meshless GFD method. The effects of the reinforcement of the composite cylinder by GPLs on the elastic wave propagations in both displacement and stress fields are obtained for various parameters. It is concluded that the proposed micromechanical model and also the meshless GFD method have a high capability to simulate the composite structures under shock loadings, which are reinforced by FGGPLs. It is shown that the modified micromechanical model and solution technique based on the meshless GFD method are accurate. Also, the time histories of the field variables are shown for various parameters.

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참고문헌

  1. Allahkarami, F., Nikkhah-Bahrami, M. and Ghassabzadeh Saryazdi M. (2017), "Damping and vibration analysis of viscoelastic curved microbeam reinforced with FG-CNTs resting on viscoelastic medium using strain gradient theory and DQM", Steel Compos. Struct., Int. J., 25(2), 141-155.
  2. Benito, J.J., Urena, F., Gavete, L., Salete, E. and Muelas, A. (2013), "A GFDM with PML for seismic wave equations in heterogeneous media", J. Comput. Appl. Math., 252, 40-51. https://doi.org/10.1016/j.cam.2012.08.007
  3. Chavan, S.G. and Lal, A. (2017), "Bending behavior of SWCNT reinforced composite plates", Steel Compos. Struct., Int. J., 24(5), 537-548.
  4. Chen, D., Yang, J. and Kitipornchai, S. (2017), "Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams", Compos. Sci. Technol., 142, 235-245. https://doi.org/10.1016/j.compscitech.2017.02.008
  5. Duc, N.D., Cong, P.H., Tuan, N.D., Tran, P. and Thanh, N.V. (2017), "Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundations", Thin-Wall. Struct., 115, 300-310.
  6. Elmarakbi, A., Jianhua, W. and Azoti, W.L. (2016), "Non-linear elastic moduli of graphene sheet-reinforced polymer composites", Int. J. Solids Struct., 81, 383-392. https://doi.org/10.1016/j.ijsolstr.2015.12.019
  7. Fan, C.M. (2015), "Generalized finite difference method for solving two-dimensional inverse Cauchy problems", Inverse Probl. Sci. Eng., 23(5), 737-759. https://doi.org/10.1080/17415977.2014.933831
  8. Fan, C.M., Huang, Y.K., Li, P.W. and Chiu, C.L. (2014), "Application of the generalized finite-difference method to inverse biharmonic boundary-value problems", Numer. Heat Transfer, Part B, 65(2), 129-154. https://doi.org/10.1080/10407790.2013.849979
  9. Feng, C., Kitipornchai, S. and Yang, J. (2017a), "Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs)", Eng. Struct., 140, 110-119. https://doi.org/10.1016/j.engstruct.2017.02.052
  10. Feng, C., Kitipornchai, S. and Yang, J. (2017b), "Nonlinear bending of polymer nanocomposite beams reinforced with nonuniformly distributed graphene platelets (GPLs)", Compos. Part B: Eng., 110, 132-140. https://doi.org/10.1016/j.compositesb.2016.11.024
  11. Gavete, L., Urena, F., Benito, J.J. and Salete, E. (2013), "A note on the dynamic analysis using the generalized finite difference method", J. Comput. Appl. Math., 252, 132-147. https://doi.org/10.1016/j.cam.2012.06.035
  12. Ghayumizadeh, H., Shahabian, F. and Hosseini, S.M (2013), "Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs)", Eng. Anal. Bound. Elem. Method, 37, 1524-1531. https://doi.org/10.1016/j.enganabound.2013.08.011
  13. Ghouhestani, S., Shahabian, F. and Hosseini, S.M. (2014), "Application of meshless local Petrov-Galerkin (MLPG) method for dynamic analysis of multilayer functionally graded nanocomposite cylinders reinforced by carbon nanotubes subjected to shock loading", CMES: Comput. Model. Eng. Sci., 100(4), 295-321.
  14. Gu, Y., Wang, L., Chen, W., Zhang, C. and He, X. (2017), "Application of the meshless generalized finite difference method to inverse heat source problems", Eng. Anal. Bound. Elem., 108, 721-729.
  15. Hosseini, S.M. (2013), "Natural frequency analysis in functionally graded nanocomposite cylinders reinforced by carbon nanotubes using a hybrid mesh-free method", CMES: Comput. Model. Eng. Sci., 95(1), 1-29.
  16. Hosseini, S.M. (2014a), "Elastic wave propagation and time history analysis in functionally graded nanocomposite cylinders reinforced by carbon nanotubes using a hybrid mesh-free method", Eng. Computat., 31(7), 1261-1282. https://doi.org/10.1108/EC-12-2012-0312
  17. Hosseini, S.M. (2014b), "Application of a hybrid mesh-free method for shock-induced thermoelastic wave propagation analysis in a layered functionally graded thick hollow cylinder with nonlinear grading patterns", Eng. Anal. Bound. Elem., 43, 56-66. https://doi.org/10.1016/j.enganabound.2014.03.007
  18. Hosseini, S.M. (2015), "Shock-induced two dimensional coupled non-Fickian diffusion-elasticity analysis using meshless generalized finite difference (GFD) method", Eng. Anal. Bound. Elem., 61, 232-240. https://doi.org/10.1016/j.enganabound.2015.07.019
  19. Hosseini, S.M., Akhlaghi, M. and Shakeri, M. (2007), "Dynamic response and radial wave propagation velocity in thick hollow cylinder made of functionally graded materials", Eng. Computat., 24(3), 288-303. https://doi.org/10.1108/02644400710735043
  20. Kiani, Y. (2016), "Shear buckling of FG-CNT reinforced composite plates using Chebyshev-Ritz method", Compos. Part B: Eng., 105, 176-187. https://doi.org/10.1016/j.compositesb.2016.09.001
  21. Kiani, Y. (2017), "Dynamics of FG-CNT reinforced composite cylindrical panel subjected to moving load", Thin-Wall. Struct., 111, 48-57. https://doi.org/10.1016/j.tws.2016.11.011
  22. Kitipornchai, S., Chen, D. and Yang, J. (2017), "Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets", Mater. Des., 116, 656-665. https://doi.org/10.1016/j.matdes.2016.12.061
  23. Kumar, D. and Srivastava, A. (2016), "Elastic properties of CNTand graphene-reinforced nanocomposites using RVE", Steel Compos. Struct., Int. J., 21(5), 1085-1103. https://doi.org/10.12989/scs.2016.21.5.1085
  24. Lei, Z.X., Zhang, L.W. and Liew, K.M. (2017), "Meshless modeling of geometrically nonlinear behavior of CNTreinforced functionally graded composite laminated plates", Appl. Math. Computat., 295, 24-46. https://doi.org/10.1016/j.amc.2016.09.017
  25. Phung-Van, P., Lieu, Q.X., Nguyen-Xuan, H. and Abdel Wahab, M. (2017), "Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates", Compos. Struct., 166, 120-135. https://doi.org/10.1016/j.compstruct.2017.01.049
  26. Shokravi, M. (2017), "Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory", Steel Compos. Struct., Int. J., 23(6), 623-631.
  27. Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070
  28. Verma, D., Gope, P.C., Shandilya, A. and Gupta, A. (2014), "Mechanical-thermal-electrical and morphological properties of graphene reinforced polymer composites: A review", Transact. Indian Inst. Metals, 67(6), 803-816. https://doi.org/10.1007/s12666-014-0408-5
  29. Vullo, V. (2014), Circular Cylinders and Pressure Vessels: Stress Analysis and Designs, Springer International Publishing, Switzerland.
  30. Yang, J., Wu, H. and Kitipornchai, S. (2017), "Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams", Compos. Struct., 161, 111-118. https://doi.org/10.1016/j.compstruct.2016.11.048
  31. Zhang, L.W. (2017), "Mechanical behavior of laminated CNTreinforced composite skew plates subjected to dynamic loading", Compos. Part B: Eng., 122, 219-230. DOI: 10.1016/j.compositesb.2017.03.041
  32. Zhang, L.W., Liu, W.H. and Liew, K.M. (2016), "Geometrically nonlinear large deformation analysis of triangular CNTreinforced composite plates", Int. J. Non-Linear Mech., 86, 122-132. https://doi.org/10.1016/j.ijnonlinmec.2016.08.004
  33. Zhang, L.W., Liu, W.H. and Xiao, L.N. (2017a), "Elastodynamic analysis of regular polygonal CNT-reinforced composite plates via FSDT element-free method", Eng. Anal. Bound. Elem., 76, 80-89. https://doi.org/10.1016/j.enganabound.2016.12.010
  34. Zhang, L.W., Song, Z.G., Qiao, P. and Liew, K.M. (2017b), "Modeling of dynamic responses of CNT-reinforced composite cylindrical shells under impact loads", Comput. Methods Appl. Mech. Eng., 313, 889-903. https://doi.org/10.1016/j.cma.2016.10.020

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