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Buckling and free vibration analyses of composite sandwich plates reinforced by shape-memory alloy wires

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Abstract

Nowadays, shape-memory alloys (SMAs) are used in many applications to improve the mechanical behaviors of the structures. In this paper, the natural vibration and buckling behaviors of the composite sandwich plates reinforced by SMA wires are studied. Three-dimensional (3D) finite element method is employed to model and analyze the sandwich plates. The face sheets of the sandwich plates are considered to be layered orthotropic composite plate, while a soft isotropic material is used for the core. The face sheets are armed by the Ni–Ti-based SMA wires. The Active Property Tuning method is used for modeling the SMA-embedded sandwich plates. The modal and eigenvalue buckling analyses are performed to calculate the natural frequencies and buckling loads of the plates. The effects of plate’s thickness, face sheet’s thickness and plate aspect ratio and also boundary conditions on the natural frequencies and buckling loads of the plates are inspected. Comparison between obtained numerical results and those published in the literature confirms that the present modeling and vibration and buckling analyses of the SMA-reinforced composite sandwich plates are reliable and applicable.

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References

  1. Kheirikhah MM, Khalili MR (2012) Wrinkling analysis of rectangular soft-core composite sandwich plates. Mechanics and properties of composed materials and structures. Springer, Berlin, pp 35–59

    Google Scholar 

  2. Kheirikhah MM, Khadem M, Farahpour P (2012) Bending analysis of soft core sandwich plates with embedded shape memory alloy wires using three-dimensional finite element method. J Mater Des Appl 226(3):186–202

    Google Scholar 

  3. Rogers CA, Barker DK (1990) Experimental studies of active strain energy tuning of adaptive composites. In: Proceedings of AIAA/ASME/ASCE/AHS/ASC 31st structures, structural dynamics, and materials conference, Long Beach, CA

  4. Lee JJ, Choi S (1999) Thermal buckling and postbuckling analysis of a laminated composite beam with embedded SMA actuators. Compos Struct 47:695–703

    Article  Google Scholar 

  5. Lau K (2002) Vibration characteristics of SMA composite beams with different boundary conditions. Mater Des 23:741–749

    Article  Google Scholar 

  6. Ghomshei MM, Tabandeh N, Ghazavi A (2005) Gordaninejad F (2005) Nonlinear transient response of a thick composite beam with shape memory alloy layers. Compos Part B Eng 36:9–24

    Article  Google Scholar 

  7. Turner TL, Lach CL, Cano RJ (2001) Fabrication and characterization of SMA hybrid composites. In: Lynch CS (ed) Proceeding of SPIE 8th annual symposium on smart structures and materials, vol 4333, pp 343–354

  8. Davis B, Turner TL, Seelecke S (2008) Measurement and prediction of the thermomechanical response of shape memory alloy hybrid composite beams. J Intell Mater Syst Struct 19:129–143

    Article  Google Scholar 

  9. Zhou G, Lloyd P (2009) Design, manufacture and evaluation of bending behaviour of composite beams embedded with SMA wires. Compos Sci Technol 69:2034–2041

    Article  Google Scholar 

  10. Lu P, Cui FS, Tan MJ (2009) A theoretical model for the bending of a laminated beam with SMA fiber embedded layer. Compos Struct 90:458–464

    Article  Google Scholar 

  11. Khalili SMR, Botshekanan Dehkordi M, Shariyat M (2013) Modeling and transient dynamic analysis of pseudoelastic SMA hybrid composite beam. Appl Math Comput 219:9762–9782

    MathSciNet  MATH  Google Scholar 

  12. Asadi H, Bodaghi M, Shakeri M, Aghdam MM (2013) An analytical approach for nonlinear vibration and thermal stability of shape memory alloy hybrid laminated composite beams. Eur J Mech A/Solids 42:454–468

    Article  Google Scholar 

  13. Asadi H, Bodaghi M, Shakeri M, Aghdam MM (2013) On the free vibration of thermally pre/post-buckled shear deformable SMA hybrid composite beams. Aerosp Sci Technol 31:73–86

    Article  Google Scholar 

  14. Damanpack AR, Bodaghi M, Aghdam MM, Shakeri M (2014) Shape control of shape memory alloy composite beams in the post-buckling regime. Aerosp Sci Technol 39:575–587

    Article  Google Scholar 

  15. Damanpack AR, Bodaghi M, Aghdam MM, Shakeri M (2014) On the vibration control capability of shape memory alloy composite beams. Compos Struct 110:325–334

    Article  Google Scholar 

  16. Samadpour M, Asadi H, Wang Q (2016) Nonlinear aero-thermal flutter postponement of supersonic laminated composite beams with shape memory alloys. Eur J Mech A/Solids 57:18–28

    Article  MathSciNet  Google Scholar 

  17. Zhong ZW, Chen RR, Mei C, Pates CS (1994) Buckling and post-buckling of shape memory alloy fiber-reinforced composite plates. In: Symposium on buckling and post-buckling of composite structures. ASME AD, vol 41/PVP-vol 293, pp 115–132

  18. Lee HJ, Lee JJ (2000) A numerical analysis of the buckling and post-buckling behavior of laminated composite shells with embedded shape memory alloy wire actuators. J Smart Mater Struct 9:780–787

    Article  Google Scholar 

  19. Ostachowicz W, Krawczuk M, Zak A (2000) Dynamic and buckling of a multilayer composite plate with embedded SMA wires. J Compos Struct 48(1):163–167

    Article  Google Scholar 

  20. Zak AJ, Cartmell MP, Ostachowicz WM (2003) A sensitivity analysis of the dynamic performance of a composite plate with shape memory alloy wires. Compos Struct 60:145–157

    Article  Google Scholar 

  21. Park JS, Kim JH, Moon SH (2004) Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers. Compos Struct 63(2):179–188

    Article  Google Scholar 

  22. Park JS, Kim JH, Moon SH (2005) Thermal post-buckling and flutter characteristics of composite plates embedded with shape memory alloy fibers. Compos Part B Eng 36(8):627–636

    Article  Google Scholar 

  23. Han H, Taheri F, Pegg N, Zhang Z (2007) Local buckling mitigation and stress analysis of a shape memory alloy hybrid composite plate with and without a cutout. J Smart Mater Struct 16(3):589–604

    Article  Google Scholar 

  24. Khalili SMR, Shokuhfar A, Ashenai Ghasemi F, Malekzadeh K (2007) Dynamic response of smart hybrid composite plate subjected to low-velocity impact. J Compos Mater 41(19):2347–2370

    Article  Google Scholar 

  25. John S, Hariri M (2008) Effect of shape memory alloy actuation on the dynamic response of polymeric composite plates. Compos Part A 39:769–776

    Article  Google Scholar 

  26. Kuo SY, Shiau LC, Chen KH (2009) Buckling analysis of shape memory alloy reinforced composite laminates. Compos Struct 90(2):188–195

    Article  Google Scholar 

  27. Cho HK, Rhee J (2012) Nonlinear finite element analysis of shape memory alloy (SMA) wire reinforced hybrid laminate composite shells. Int J Nonlinear Mech 47(6):672–678

    Article  Google Scholar 

  28. Khalili SMR, Botshekanan Dehkordi M, Carrera E (2013) A nonlinear finite element model using a unified formulation for dynamic analysis of multilayer composite plate embedded with SMA wires. Compos Struct 106:635–645

    Article  Google Scholar 

  29. Asadi H, Eynbeygi M, Wang Q (2014) Nonlinear thermal stability of geometrically imperfect shape memory alloy hybrid laminated composite plates. Smart Mater Struct 23(7):075012

    Article  Google Scholar 

  30. Pietrzakowski M (2000) Natural frequency modification of thermally activated composite plates. Mec Ind 1:313–320

    Google Scholar 

  31. Liang C, Rogers CA (1990) One-dimensional thermomechanical constitutive relations for shape memory materials. J Intell Mater Syst Struct 1:207–234

    Article  Google Scholar 

  32. Zhang R, Ni QQ, Masuda A, Yamamura T, Iwamoto M (2006) Vibration characteristics of laminated composite plates with embedded shape memory alloys. Compos Struct 74:389–398

    Article  Google Scholar 

  33. Shiau LC, Kuo SY, Chang SY (2011) Free vibration of buckled SMA reinforced composite laminates. Compos Struct 93(11):2678–2684

    Article  Google Scholar 

  34. Birman V (1997) Stability of functionally graded shape memory alloy sandwich panels. Smart Mater Struct 6:278–286

    Article  Google Scholar 

  35. Samadpour M, Sadighi M, Shakeri M, Zamani HA (2015) Vibration analysis of thermally buckled SMA hybrid composite sandwich plate. Compos Struct 119:251–263

    Article  Google Scholar 

  36. Asadi H, Akbarzadeh AH, Wang Q (2015) Nonlinear thermo-inertial instability of functionally graded shape memory alloy sandwich plates. Compos Struct 120:496–508

    Article  Google Scholar 

  37. Botshekanan Dehkordi M, Khalili SMR, Carrera E (2016) Non-linear transient dynamic analysis of sandwich plate with composite face-sheets embedded with shape memory alloy wires and flexible core- based on the mixed LW (layer-wise)/ESL (equivalent single layer) models. Compos Part B Eng 87:59–74

    Article  Google Scholar 

  38. Khalili SMR, Botshekanan Dehkordi M, Carrera E, Shariyat M (2013) Non-linear dynamic analysis of a sandwich beam with pseudo elastic SMA hybrid composite faces based on higher order finite element theory. Compos Struct 96:243–255

    Article  Google Scholar 

  39. Kheirikhah MM, Babaghasabha V (2016) Bending and buckling analysis of corrugated composite sandwich plates. J Braz Soc Mech Sci Eng 38:1973–1985

    Article  Google Scholar 

  40. Ganilova OA, Cartmell MP (2010) An analytical model for the vibration of a composite plate containing an embedded periodic shape memory alloy structure. Compos Struct 92:39–47

    Article  Google Scholar 

  41. Rao MK, Desai YM (2004) Analytical solutions for vibrations of laminated and sandwich plates using mixed theory. Compos Struct 63(3–4):361–373

    Article  Google Scholar 

  42. Shariyat M (2010) A generalized global–local high-order theory for nonlinear bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads. Int J Mech Sci 52:495–514

    Article  Google Scholar 

  43. Noor AK, Peters JM, Burton WS (1994) Three-dimensional solutions for initially stressed structural sandwiches. J Eng Mech ASCE 120(2):284–303

    Article  Google Scholar 

  44. Dafedar JB, Desai YM, Mufti AA (2003) Stability of sandwich plates by mixed, higher-order analytical formulation. Int J Solids Struct 40:4501–4517

    Article  Google Scholar 

  45. Shariyat M (2010) Non-linear dynamic thermo-mechanical buckling analysis of the imperfect sandwich plates based on a generalized three-dimensional high-order global–local plate theory. Compos Struct 92:72–85

    Article  Google Scholar 

  46. Kheirikhah MM, Khalili SMR, Fard KM (2011) Biaxial buckling analysis of soft-core composite sandwich plates using improved high-order theory. Eur J Mech A/Solids 31:54–66

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Nokhbegan Blvd., Qazvin, Iran

    M. M. Kheirikhah & P. Khosravi

Authors
  1. M. M. Kheirikhah
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  2. P. Khosravi
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Correspondence to M. M. Kheirikhah.

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Technical Editor: Paulo de Tarso Rocha de Mendonça, Ph.D.

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Kheirikhah, M.M., Khosravi, P. Buckling and free vibration analyses of composite sandwich plates reinforced by shape-memory alloy wires. J Braz. Soc. Mech. Sci. Eng. 40, 515 (2018). https://doi.org/10.1007/s40430-018-1438-4

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  • DOI: https://doi.org/10.1007/s40430-018-1438-4

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