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Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
To address the interfacial failure problem while maintain the main advantageous features in layered sandwich structures, a novel functionally graded (FG) porous plate is proposed where the continuous gradient in material properties based on a graded porosity offers a smooth stress distribution along the plate thickness so that the remarkable stress mismatch that leads to interfacial failure in the conventional sandwich structures can be avoided. The FG porous plate is assumed to be made of closed-cell Aluminium foams with Young's modulus, shear modulus, mass density and Poisson's ratio varying across the thickness. The mechanical property of closed-cell solids is used to determine the relationship between porosity coefficient and mass density coefficient. Based on the first-order shear deformation plate theory, the governing equations are derived and then solved by employing Chebyshev polynomials based Ritz method. The uniaxial, biaxial and shear buckling loads, bending deflections and stresses are obtained for fully clamped and simply supported porous plates. Numerical results show that compared with the conventional layered sandwich plate with a uniform porous core, the proposed FG porosity can eliminate the stress mismatch and yield significantly improved buckling and bending performances, promoting the advance and application of porous structures in multiple engineering areas.
Rocznik
Strony
157--170
Opis fizyczny
Bibliogr. 25 poz., rys., tab., wykr.
Twórcy
autor
  • School of Civil Engineering, the University of Queensland, Brisbane, St Lucia 4072, Australia
autor
  • School of Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083, Australia
  • School of Civil Engineering, the University of Queensland, Brisbane, St Lucia 4072, Australia
Bibliografia
  • [1] M. Idriss, A. El Mahi, R. El Guerjouma, Characterization of sandwich beams with debonding by linear and nonlinear vibration method, Compos. Struct. 120 (2015) 200–207.
  • [2] H.Y. Kim, W. Hwang, Effect of debonding on natura frequencies and frequency response functions of honeycomb sandwich beams, Compos. Struct. 55 (2002) 51–62.
  • [3] V.N. Burlayenko, T. Sadowski, Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates, Int. J. Non-Linear Mech. 45 (2010) 959–968.
  • [4] S. Mustapha, L. Ye, D. Wang, Y. Lu, Assessment of debonding in sandwich CF/EP composite beams using A0 lamb wave At low frequency, Compos. Struct. 93 (2011) 483–491.
  • [5] X. Li, L.A. Carlsson, Fracture mechanics analysis of tilted sandwich debond (TSD) specimen, J. Compos. Mater. 35 (2001) 2145–2168.
  • [6] T. Belica, K. Magnucki, Dynamic stability of a porous cylindrical shell subjected to impulse of forces combined, J. Kones 14 (2007) 39–48.
  • [7] A. Mojahedin, E.F. Joubaneh, M. Jabbari, Thermal and mechanical stability of a circular porous plate with piezoelectric actuators, Acta Mech. 225 (2014) 3437–3452.
  • [8] N. Shafiei, A. Mousavi, M. Ghadiri, On size-dependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams, Int. J. Eng. Sci. 106 (2016) 42–56.
  • [9] D. Chen, J. Yang, S. Kitipornchai, Elastic buckling and static bending of shear deformable functionally graded porous beam, Compos. Struct. 133 (2015) 54–61.
  • [10] J. Yang, D. Chen, S. Kitipornchai, Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method, Compos. Struct. 193 (2018) 281–294.
  • [11] F. Ebrahimi, M. Zia, Large amplitude nonlinear vibration analysis of functionally graded timoshenko beams with porosities, Acta Astron. 116 (2015) 117–125.
  • [12] D. Chen, S. Kitipornchai, J. Yang, Dynamic response and energy absorption of functionally graded porous structures, Mater. Des. 140 (2018) 473–487.
  • [13] Y. Xiang, S. Kitipornchai, K. Liew, Buckling and vibration of thick laminates on pasternak foundations, J. Eng. Mech. 122 (1996) 54–63.
  • [14] A.Y. Tamijani, R.K. Kapania, Chebyshev-Ritz approach to buckling and vibration of curvilinearly stiffened plate, AIAA J. 50 (2012) 1007–1018.
  • [15] Z. Wu, P.M. Weaver, G. Raju, B.C. Kim, Buckling analysis and optimisation of variable angle tow composite plates, Thinwalled Struct. 60 (2012) 163–172.
  • [16] A. Mahi, E.A.A. Bedia, A. Tounsi, A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminatem composite plates, Appl. Math. Model. 39 (2015) 2489–2508.
  • [17] M. Zidi, A. Tounsi, M.S.A. Houari, O.A. Bég, Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory, Aerosp. Sci. Technol. 34 (2014) 24–34.
  • [18] A. Roberts, E.J. Garboczi, Computation of the linear elastic properties of random porous materials with a wide variety of microstructure, Proc. R. Soc. Lond. A: Math. Phys. Eng. Sci. (2002).
  • [19] A.P. Roberts, E.J. Garboczi, Elastic moduli of model random three-dimensional closed-cell cellular solids, Acta Mater. 49 (2001) 189–197.
  • [20] Y. Kiani, Shear buckling of FG-CNT reinforced composite plates using Chebyshev-Ritz method, Compos. Part B: Eng. 105 (2016) 176–187.
  • [21] C. Wang, K. Liew, Y. Xiang, S. Kitipornchai, Buckling of rectangular mindlin plates with internal line supports, Int. J. Solids Struct. 30 (1993) 1–17.
  • [22] K. Liew, T. Teo, J.-B. Han, Three-dimensional static solutions of rectangular plates by variant differential quadrature method, Int. J. Mech. Sci. 43 (2001) 1611–1628.
  • [23] A.M. Zenkour, Generalized shear deformation theory for bending analysis of functionally graded plates, Appl. Math. Model. 30 (2006) 67–84.
  • [24] Ş.D. Akbaş, Vibration and static analysis of functionally graded porous plates, J. Appl. Comput. Mech. 3 (2017) 199–207.
  • [25] E. Magnucka-Blandzi, Mathematical modelling of a rectangular sandwich plate with a metal foam core, J. Theor. Appl. Mech. 49 (2011) 439–455.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7c3216ea-4269-4906-b411-b4703696795b
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