메뉴 건너뛰기




Volumn 14, Issue 5, 2012, Pages 505-524

Analysis of sandwich plates by radial basis functions collocation, according to Murakami's Zig-Zag theory

Author keywords

radial basis functions; Sandwich; unified formulation; Zig Zag theories

Indexed keywords

EQUATIONS OF MOTION;

EID: 84871738059     PISSN: 10996362     EISSN: 15307972     Source Type: Journal    
DOI: 10.1177/1099636212449083     Document Type: Article
Times cited : (16)

References (50)
  • 1
    • 0742281181 scopus 로고    scopus 로고
    • Historical review of zig-zag theories for multilayered plates and shells
    • Carrera E.Historical review of zig-zag theories for multilayered plates and shells.Appl Mech Rev. 2003;56:287-308.
    • (2003) Appl Mech Rev , vol.56 , pp. 287-308
    • Carrera, E.1
  • 2
    • 84930244279 scopus 로고
    • Uber das gleichgewicht und die bewegung einer elastischen scheibe
    • Kirchhoff G.Uber das gleichgewicht und die bewegung einer elastischen scheibe.J Angew Math. 1850;40:51-88.
    • (1850) J Angew Math , vol.40 , pp. 51-88
    • Kirchhoff, G.1
  • 3
    • 85103554891 scopus 로고
    • The effect of transverse shear deformations on the bending of elastic plates
    • Reissner E.The effect of transverse shear deformations on the bending of elastic plates.J Appl Mech. 1945;12:A69-A77.
    • (1945) J Appl Mech , vol.12
    • Reissner, E.1
  • 4
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear in flexural motions of isotropic elastic plates
    • Mindlin RD.Influence of rotary inertia and shear in flexural motions of isotropic elastic plates.J Appl Mech. 1951;18:31-38.
    • (1951) J Appl Mech , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 7
    • 0029322906 scopus 로고
    • Assessment of computational model for sandwich panels and shells
    • Burton S,Noor AK.Assessment of computational model for sandwich panels and shells.Comput Meth Appl Mech Eng. 1995;124:125-151.
    • (1995) Comput Meth Appl Mech Eng , vol.124 , pp. 125-151
    • Burton, S.1    Noor, A.K.2
  • 8
    • 0030102196 scopus 로고    scopus 로고
    • Computational model for sandwich panels and shells
    • Noor AK,Burton S,Bert CW.Computational model for sandwich panels and shells.Appl Mech Rev. 1996;49:155-199.
    • (1996) Appl Mech Rev , vol.49 , pp. 155-199
    • Noor, A.K.1    Burton, S.2    Bert, C.W.3
  • 9
    • 0032333735 scopus 로고    scopus 로고
    • Theories for laminated and sandwich plates. a review
    • Altenbach H.Theories for laminated and sandwich plates. a review.Int Appl Mech. 1998;34:243-252.
    • (1998) Int Appl Mech , vol.34 , pp. 243-252
    • Altenbach, H.1
  • 10
    • 0033896871 scopus 로고    scopus 로고
    • Recent developments in the modeling and behaviors of advanced sandwich constructions: a survey
    • Librescu L,Hause T.Recent developments in the modeling and behaviors of advanced sandwich constructions: a survey.Compos Struct. 2000;48:1-17.
    • (2000) Compos Struct , vol.48 , pp. 1-17
    • Librescu, L.1    Hause, T.2
  • 11
    • 0001559238 scopus 로고    scopus 로고
    • Sandwich structures
    • Vinson JR.Sandwich structures.Appl Mech Rev. 2001;54:201-214.
    • (2001) Appl Mech Rev , vol.54 , pp. 201-214
    • Vinson, J.R.1
  • 12
    • 45849117175 scopus 로고    scopus 로고
    • 2d, quasi 3d and 3d exact solutions for bending of thick and thin sandwich plates
    • Demasi L.2d, quasi 3d and 3d exact solutions for bending of thick and thin sandwich plates.J Sandwich Struct Mater. 2008;10:271-310.
    • (2008) J Sandwich Struct Mater , vol.10 , pp. 271-310
    • Demasi, L.1
  • 13
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane responses
    • Murakami H.Laminated composite plate theory with improved in-plane responses.J Appl Mech. 1986;53:661-666.
    • (1986) J Appl Mech , vol.53 , pp. 661-666
    • Murakami, H.1
  • 14
    • 13344279435 scopus 로고    scopus 로고
    • Developments, ideas, and evaluations based upon reissner's mixed variational theorem in the modelling of multilayered plates and shells
    • Carrera E.Developments, ideas, and evaluations based upon reissner's mixed variational theorem in the modelling of multilayered plates and shells.Appl Mech Rev. 2001;54:301-329.
    • (2001) Appl Mech Rev , vol.54 , pp. 301-329
    • Carrera, E.1
  • 15
    • 1842453722 scopus 로고    scopus 로고
    • The use of murakami's zig-zag function in the modeling of layered plates and shells
    • Carrera E.The use of murakami's zig-zag function in the modeling of layered plates and shells.Compos Struct. 2004;82:541-554.
    • (2004) Compos Struct , vol.82 , pp. 541-554
    • Carrera, E.1
  • 16
    • 40849140904 scopus 로고    scopus 로고
    • ∞3hierarchy plate theories for thick and thin composite plates: the generalized unified formulation
    • Demasi L.∞3hierarchy plate theories for thick and thin composite plates: the generalized unified formulation.Compos Struct. 2008;84:256-270.
    • (2008) Compos Struct , vol.84 , pp. 256-270
    • Demasi, L.1
  • 17
    • 63449131763 scopus 로고    scopus 로고
    • Improved bending analysis of sandwich plate by using zig-zag function
    • Brischetto S,Carrera E,Demasi L.Improved bending analysis of sandwich plate by using zig-zag function.Compos Struct. 2009;89:408-415.
    • (2009) Compos Struct , vol.89 , pp. 408-415
    • Brischetto, S.1    Carrera, E.2    Demasi, L.3
  • 18
    • 33750041997 scopus 로고    scopus 로고
    • Evaluation of kinematic formulations for viscoelastically damped sandwich beam modeling
    • Daya BS,Hu EMH, et al.Evaluation of kinematic formulations for viscoelastically damped sandwich beam modeling.J Sandwich Struct Mater. 2006;8:477-495.
    • (2006) J Sandwich Struct Mater , vol.8 , pp. 477-495
    • Daya, B.S.1    Hu, E.M.H.2
  • 19
    • 0002895481 scopus 로고    scopus 로고
    • Bending of curved sandwich panels with transversely flexible core: Closed form higher-order theory
    • Frostig Y.Bending of curved sandwich panels with transversely flexible core: Closed form higher-order theory.J Sandwich Struct Mater. 1999;1:4-41.
    • (1999) J Sandwich Struct Mater , vol.1 , pp. 4-41
    • Frostig, Y.1
  • 20
    • 84990397349 scopus 로고    scopus 로고
    • Behavior of unidirectional sandwich panels with a multi-skin construction or a multilayered core layout-higher- order approach
    • Frostig Y,Rabinovich O.Behavior of unidirectional sandwich panels with a multi-skin construction or a multilayered core layout-higher- order approach.J Sandwich Struct Mater. 2000;2:181-213.
    • (2000) J Sandwich Struct Mater , vol.2 , pp. 181-213
    • Frostig, Y.1    Rabinovich, O.2
  • 21
    • 0025229330 scopus 로고
    • Multiquadrics- a scattered data approximation scheme with applications to computational fluid dynamics. I: Surface approximations and partial derivative estimates
    • Kansa EJ.Multiquadrics- a scattered data approximation scheme with applications to computational fluid dynamics. I: Surface approximations and partial derivative estimates.Comput Math Appl. 1990;19 (8/9): 127-145.
    • (1990) Comput Math Appl , vol.19 , Issue.8-9 , pp. 127-145
    • Kansa, E.J.1
  • 22
    • 0001023857 scopus 로고    scopus 로고
    • Multiquadric method for the numerical solution of byphasic mixture model
    • Hon YC,Lu MW,Xue WM, et al.Multiquadric method for the numerical solution of byphasic mixture model.Appl Math Comput. 1997;88:153-175.
    • (1997) Appl Math Comput , vol.88 , pp. 153-175
    • Hon, Y.C.1    Lu, M.W.2    Xue, W.M.3
  • 23
    • 0033133932 scopus 로고    scopus 로고
    • A multiquadric solution for the shallow water equation
    • Hon YC,Cheung KF,Mao XZ, et al.A multiquadric solution for the shallow water equation.ASCE J Hydraul Eng. 1999;125 (5): 524-533.
    • (1999) ASCE J Hydraul Eng , vol.125 , Issue.5 , pp. 524-533
    • Hon, Y.C.1    Cheung, K.F.2    Mao, X.Z.3
  • 24
    • 0037066169 scopus 로고    scopus 로고
    • Numerical analysis of biot's consolidation process by radial point interpolation method
    • Wang JG,Liu GR,Lin P.Numerical analysis of biot's consolidation process by radial point interpolation method.Int J Solid Struct. 2002;39 (6): 1557-1573.
    • (2002) Int J Solid Struct , vol.39 , Issue.6 , pp. 1557-1573
    • Wang, J.G.1    Liu, G.R.2    Lin, P.3
  • 25
    • 0035817769 scopus 로고    scopus 로고
    • A local radial point interpolation method (lrpim) for free vibration analyses of 2-d solids
    • Liu GR,Gu YT.A local radial point interpolation method (lrpim) for free vibration analyses of 2-d solids.J Sound Vibr. 2001;246 (1): 29-46.
    • (2001) J Sound Vibr , vol.246 , Issue.1 , pp. 29-46
    • Liu, G.R.1    Gu, Y.T.2
  • 26
    • 0037143775 scopus 로고    scopus 로고
    • A point interpolation meshless method based on radial basis functions
    • Liu GR,Wang JG.A point interpolation meshless method based on radial basis functions.Int J Numer Meth Eng. 2002;54:1623-1648.
    • (2002) Int J Numer Meth Eng , vol.54 , pp. 1623-1648
    • Liu, G.R.1    Wang, J.G.2
  • 27
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-d meshless methods
    • Wang JG,Liu GR.On the optimal shape parameters of radial basis functions used for 2-d meshless methods.Comput Meth Appl Mech Eng. 2002;191:2611-2630.
    • (2002) Comput Meth Appl Mech Eng , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 28
    • 0037290989 scopus 로고    scopus 로고
    • An element free galerkin method for the free vibration analysis of composite laminates of complicated shape
    • Chen XL,Liu GR,Lim SP.An element free galerkin method for the free vibration analysis of composite laminates of complicated shape.Compos Struct. 2003;59:279-289.
    • (2003) Compos Struct , vol.59 , pp. 279-289
    • Chen, X.L.1    Liu, G.R.2    Lim, S.P.3
  • 29
    • 0345870035 scopus 로고    scopus 로고
    • An element free galerkin method for static and free vibration analysis of shear-deformable laminated composite plates
    • Dai KY,Liu GR,Lim SP, et al.An element free galerkin method for static and free vibration analysis of shear-deformable laminated composite plates.J Sound Vibr. 2004;269:633-652.
    • (2004) J Sound Vibr , vol.269 , pp. 633-652
    • Dai, K.Y.1    Liu, G.R.2    Lim, S.P.3
  • 30
    • 10444260213 scopus 로고    scopus 로고
    • Buckling of symmetrically laminated composite plates using the element-free galerkin method
    • Liu GR,Chen XL.Buckling of symmetrically laminated composite plates using the element-free galerkin method.Int J Struct Stabil Dynam. 2002;2:281-294.
    • (2002) Int J Struct Stabil Dynam , vol.2 , pp. 281-294
    • Liu, G.R.1    Chen, X.L.2
  • 31
    • 0347300455 scopus 로고    scopus 로고
    • Mesh-free radial basis function method for buckling analysis of non-uniformity loaded arbitrarily shaped shear deformable plates
    • Liew KM,Chen XL,Reddy JN.Mesh-free radial basis function method for buckling analysis of non-uniformity loaded arbitrarily shaped shear deformable plates.Comput Meth Appl Mech Eng. 2004;193:205-225.
    • (2004) Comput Meth Appl Mech Eng , vol.193 , pp. 205-225
    • Liew, K.M.1    Chen, X.L.2    Reddy, J.N.3
  • 32
    • 3142769838 scopus 로고    scopus 로고
    • Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method
    • Huang YQ,Li QS.Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method.Comput Meth Appl Mech Eng. 2004;193:3471-3492.
    • (2004) Comput Meth Appl Mech Eng , vol.193 , pp. 3471-3492
    • Huang, Y.Q.1    Li, Q.S.2
  • 33
    • 0037147410 scopus 로고    scopus 로고
    • Element free method for static and free vibration analysis of spatial thin shell structures
    • Liu L,Liu GR,Tan VCB.Element free method for static and free vibration analysis of spatial thin shell structures.Comput Meth Appl Mech Eng. 2002;191:5923-5942.
    • (2002) Comput Meth Appl Mech Eng , vol.191 , pp. 5923-5942
    • Liu, L.1    Liu, G.R.2    Tan, V.C.B.3
  • 34
    • 67349177747 scopus 로고    scopus 로고
    • Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories
    • Xiang S,Wang KM,Ai YT, et al.Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories.Compos Struct. 2009;91 (1): 31-37.
    • (2009) Compos Struct , vol.91 , Issue.1 , pp. 31-37
    • Xiang, S.1    Wang, K.M.2    Ai, Y.T.3
  • 35
    • 77955471138 scopus 로고    scopus 로고
    • Thin plate spline radial basis functions for vibration analysis of clamped laminated composite plates
    • Xiang S,Shi H,Wang KM, et al.Thin plate spline radial basis functions for vibration analysis of clamped laminated composite plates.Eur J Mech A/Solids. 2010;29:844-850.
    • (2010) Eur J Mech A/Solids , vol.29 , pp. 844-850
    • Xiang, S.1    Shi, H.2    Wang, K.M.3
  • 36
    • 33750048188 scopus 로고    scopus 로고
    • Analysis of composite and sandwich plate by trigonometric layer-wise deformation theory and radial basis function
    • Roque FAJA,Jorge RMN.Analysis of composite and sandwich plate by trigonometric layer-wise deformation theory and radial basis function.J Sandwich Struct Mater. 2006;8:497-515.
    • (2006) J Sandwich Struct Mater , vol.8 , pp. 497-515
    • Roque, F.A.J.A.1    Jorge, R.M.N.2
  • 37
    • 0036488118 scopus 로고    scopus 로고
    • A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
    • Ferreira AJM.A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates.Compos Struct. 2003;59:385-392.
    • (2003) Compos Struct , vol.59 , pp. 385-392
    • Ferreira, A.J.M.1
  • 38
    • 0043029995 scopus 로고    scopus 로고
    • Thick composite beam analysis using a global meshless approximation based on radial basis functions
    • Ferreira AJM.Thick composite beam analysis using a global meshless approximation based on radial basis functions.Mech Adv Mater Struct. 2003;10:271-284.
    • (2003) Mech Adv Mater Struct , vol.10 , pp. 271-284
    • Ferreira, A.J.M.1
  • 39
    • 0042229158 scopus 로고    scopus 로고
    • Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method
    • Ferreira AJM,Roque CMC,Martins PALS.Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method.Compos Part B. 2003;34:627-636.
    • (2003) Compos Part B , vol.34 , pp. 627-636
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Martins, P.A.L.S.3
  • 40
    • 0030168293 scopus 로고    scopus 로고
    • C0reissner-mindlin multilayered plate elements including zig-zag and interlaminar stress continuity
    • Carrera E.C0reissner-mindlin multilayered plate elements including zig-zag and interlaminar stress continuity.Int J Numer Meth Eng. 1996;39:1797-1820.
    • (1996) Int J Numer Meth Eng , vol.39 , pp. 1797-1820
    • Carrera, E.1
  • 41
    • 0040657378 scopus 로고    scopus 로고
    • Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates
    • Carrera E,Kroplin B.Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates.Mech Compos Mater Struct. 1997;4:69-94.
    • (1997) Mech Compos Mater Struct , vol.4 , pp. 69-94
    • Carrera, E.1    Kroplin, B.2
  • 42
    • 0000483402 scopus 로고    scopus 로고
    • Evaluation of layer-wise mixed theories for laminated plate analysis
    • Carrera E.Evaluation of layer-wise mixed theories for laminated plate analysis.AIAA J. 1998; (36): 830-839.
    • (1998) AIAA J , Issue.36 , pp. 830-839
    • Carrera, E.1
  • 43
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • Hardy RL.Multiquadric equations of topography and other irregular surfaces.Geophys Res. 1971;176:1905-1915.
    • (1971) Geophys Res , vol.176 , pp. 1905-1915
    • Hardy, R.L.1
  • 44
    • 33846557376 scopus 로고    scopus 로고
    • Computation of natural frequencies of shear deformable beams and plates by a rbf-pseudospectral method
    • Ferreira AJM,Fasshauer GE.Computation of natural frequencies of shear deformable beams and plates by a rbf-pseudospectral method.Comput Meth Appl Mech Eng. 2006;196:134-146.
    • (2006) Comput Meth Appl Mech Eng , vol.196 , pp. 134-146
    • Ferreira, A.J.M.1    Fasshauer, G.E.2
  • 45
    • 0028762911 scopus 로고
    • Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory
    • Akhras G,Cheung MS,Li W.Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory.Comput Struct. 1994;52 (3): 471-477.
    • (1994) Comput Struct , vol.52 , Issue.3 , pp. 471-477
    • Akhras, G.1    Cheung, M.S.2    Li, W.3
  • 46
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • Reddy JN.A simple higher-order theory for laminated composite plates.J Appl Mech. 1984;51:745-752.
    • (1984) J Appl Mech , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 47
    • 0019549085 scopus 로고
    • A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates
    • Reddy JN,Chao WC.A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates.Nucl Eng Des. 1981;64:153-167.
    • (1981) Nucl Eng Des , vol.64 , pp. 153-167
    • Reddy, J.N.1    Chao, W.C.2
  • 48
    • 0014728757 scopus 로고
    • Exact solutions for rectangular bidirectional composites and sandwich plates
    • Pagano NJ.Exact solutions for rectangular bidirectional composites and sandwich plates.J Compos Mater. 1970;4:20-34.
    • (1970) J Compos Mater , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 49
    • 23944521602 scopus 로고    scopus 로고
    • Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization
    • Ferreira AJM.Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization.Mech Adv Mater Struct. 2005;12 (2): 99-112.
    • (2005) Mech Adv Mater Struct , vol.12 , Issue.2 , pp. 99-112
    • Ferreira, A.J.M.1
  • 50
    • 15844420114 scopus 로고    scopus 로고
    • A unified formulation to assess theories of multilayered plates for various bending problems
    • Carrera E,Ciuffreda A.A unified formulation to assess theories of multilayered plates for various bending problems.Compos Struct. 2005;69:4271-293.
    • (2005) Compos Struct , vol.69 , pp. 4271-4293
    • Carrera, E.1    Ciuffreda, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.