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Volumn 93, Issue 5, 2011, Pages 1433-1448

RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D free vibration analysis of multilayered composite and FGM plates

Author keywords

Collocation methods; Element free galerkin methods; Free vibration; Functionally graded material; Meshless methods; Sandwich plates

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; COMPUTATIONAL MECHANICS; DELTA FUNCTIONS; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; FUNCTIONALLY GRADED MATERIALS; INTERPOLATION; VIBRATION ANALYSIS; VIBRATIONS (MECHANICAL);

EID: 79955468849     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2010.11.015     Document Type: Article
Times cited : (58)

References (101)
  • 1
  • 2
    • 0001765873 scopus 로고
    • A numerical approach to testing the fission hypothesis
    • Lucy L. A numerical approach to testing the fission hypothesis. Astron J 1977;82:1013-24.
    • (1977) Astron J , vol.82 , pp. 1013-1024
    • Lucy, L.1
  • 4
    • 1942457663 scopus 로고    scopus 로고
    • Hermite-cloud: A novel true meshless method
    • Li H, Ng TY, Cheng JQ, Lam KY. Hermite-cloud: a novel true meshless method. Comput Mech 2003;33:30-41.
    • (2003) Comput Mech , vol.33 , pp. 30-41
    • Li, H.1    Ng, T.Y.2    Cheng, J.Q.3    Lam, K.Y.4
  • 5
    • 0035440759 scopus 로고    scopus 로고
    • A finite point method for elasticity problems
    • Õnate E, Perazzo F, Miquel J. A finite point method for elasticity problems. Comput Struct 2001;79:2151-63.
    • (2001) Comput Struct , vol.79 , pp. 2151-2163
    • Õnate, E.1    Perazzo, F.2    Miquel, J.3
  • 6
  • 7
    • 33744784270 scopus 로고    scopus 로고
    • Point interpolation collocation method for the solution of partial differential equations
    • Liu X, Tai K. Point interpolation collocation method for the solution of partial differential equations. Eng Anal Bound Elem 2006;30:598-609.
    • (2006) Eng Anal Bound Elem , vol.30 , pp. 598-609
    • Liu, X.1    Tai, K.2
  • 9
    • 0034294250 scopus 로고    scopus 로고
    • Meshless methods based on collocation with radial basis functions
    • Zhang X, Song KZ, Lu MW, Liu X. Meshless methods based on collocation with radial basis functions. Comput Mech 2000;26:333-43.
    • (2000) Comput Mech , vol.26 , pp. 333-343
    • Zhang, X.1    Song, K.Z.2    Lu, M.W.3    Liu, X.4
  • 10
    • 16344373076 scopus 로고    scopus 로고
    • Development of a new meshless-point weighted least squares (PWLS) method for computational mechanics
    • Wang QX, Li H, Lam KY. Development of a new meshless-point weighted least squares (PWLS) method for computational mechanics. Comput Mech 2005;35:170-81.
    • (2005) Comput Mech , vol.35 , pp. 170-181
    • Wang, Q.X.1    Li, H.2    Lam, K.Y.3
  • 11
    • 0037436517 scopus 로고    scopus 로고
    • Point collocation methods using the fast moving least-square reproducing kernel approximation
    • Kim DW, Kim Y. Point collocation methods using the fast moving least-square reproducing kernel approximation. Int J Numer Methods Eng 2003;56: 1445-64.
    • (2003) Int J Numer Methods Eng , vol.56 , pp. 1445-1464
    • Kim, D.W.1    Kim, Y.2
  • 12
    • 0033895789 scopus 로고    scopus 로고
    • A point collocation method based on reproducing kernel approximations
    • Aluru NR. A point collocation method based on reproducing kernel approximations. Int J Numer Methods Eng 2000;47:1083-121.
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 1083-1121
    • Aluru, N.R.1
  • 13
    • 77956097399 scopus 로고    scopus 로고
    • A meshless collocation method based on the differential reproducing kernel approximation
    • Yang SW, Wang YM, Wu CP. A meshless collocation method based on the differential reproducing kernel approximation. Comput Model Eng Sci 2010;60:1-39.
    • (2010) Comput Model Eng Sci , vol.60 , pp. 1-39
    • Yang, S.W.1    Wang, Y.M.2    Wu, C.P.3
  • 14
    • 77951768619 scopus 로고    scopus 로고
    • A meshless collocation method based on the differential reproducing kernel interpolation
    • Wang YM, Chen SM, Wu CP. A meshless collocation method based on the differential reproducing kernel interpolation. Comput Mech 2010;45: 585-606.
    • (2010) Comput Mech , vol.45 , pp. 585-606
    • Wang, Y.M.1    Chen, S.M.2    Wu, C.P.3
  • 15
    • 58149525838 scopus 로고    scopus 로고
    • A meshfree DRK-based collocation method for the coupled analysis of functionally graded magneto-electro-elastic shells and plates
    • Wu CP, Chiu KH, Wang YM. A meshfree DRK-based collocation method for the coupled analysis of functionally graded magneto-electro-elastic shells and plates. Comput Model Eng Sci 2008;35:181-214.
    • (2008) Comput Model Eng Sci , vol.35 , pp. 181-214
    • Wu, C.P.1    Chiu, K.H.2    Wang, Y.M.3
  • 16
    • 77449086799 scopus 로고    scopus 로고
    • A DRK interpolation-based collocation method for the analysis of functionally graded piezoelectric hollow cylinders under electro-mechanical loads
    • Wu CP, Wang JS, Wang YM. A DRK interpolation-based collocation method for the analysis of functionally graded piezoelectric hollow cylinders under electro-mechanical loads. Comput Model Eng Sci 2009;52:1-37.
    • (2009) Comput Model Eng Sci , vol.52 , pp. 1-37
    • Wu, C.P.1    Wang, J.S.2    Wang, Y.M.3
  • 18
    • 0031119696 scopus 로고    scopus 로고
    • Moving least-square reproducing kernel methods (I) methodology and convergence
    • Liu WK, Li S, Belytschko T. Moving least-square reproducing kernel methods (I) methodology and convergence. Comput Methods Appl Mech Eng 1997;143:113-54.
    • (1997) Comput Methods Appl Mech Eng , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 19
    • 0030413959 scopus 로고    scopus 로고
    • Moving least-square reproducing kernel method (II) Fourier analysis
    • Li S, Liu WK. Moving least-square reproducing kernel method (II) Fourier analysis. Comput Methods Appl Mech Eng 1996;139:159-93.
    • (1996) Comput Methods Appl Mech Eng , vol.139 , pp. 159-193
    • Li, S.1    Liu, W.K.2
  • 21
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petro-Galerkin (MLPG) and local boundary integral equation (LBIE) methods
    • Atluri SN, Kim HG, Cho JY. A critical assessment of the truly meshless local Petro-Galerkin (MLPG) and local boundary integral equation (LBIE) methods. Comput Mech 1999;22:348-72.
    • (1999) Comput Mech , vol.22 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 22
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petro-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless local Petro-Galerkin (MLPG) approach in computational mechanics. Comput Mech 1998;22:117-27.
    • (1998) Comput Mech , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 23
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solids
    • Liu GR, Gu YT. A point interpolation method for two-dimensional solids. Int J Numer Methods Eng 2001;50:937-51.
    • (2001) Int J Numer Methods Eng , vol.50 , pp. 937-951
    • Liu, G.R.1    Gu, Y.T.2
  • 24
    • 0035800453 scopus 로고    scopus 로고
    • A local point interpolation method for static and dynamic analysis of thin beams
    • Gu YT, Liu GR. A local point interpolation method for static and dynamic analysis of thin beams. Comput Methods Appl Mech Eng 2001;190:5515-28.
    • (2001) Comput Methods Appl Mech Eng , vol.190 , pp. 5515-5528
    • Gu, Y.T.1    Liu, G.R.2
  • 25
    • 0031998215 scopus 로고    scopus 로고
    • Synchronized reproducing kernel interpolant via multiple wavelet expansion
    • Li S, Liu WK. Synchronized reproducing kernel interpolant via multiple wavelet expansion. Comput Mech 1998;21:28-47.
    • (1998) Comput Mech , vol.21 , pp. 28-47
    • Li, S.1    Liu, W.K.2
  • 26
    • 0032678421 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity, part I - formulation and theory
    • Li S, Liu WK. Reproducing kernel hierarchical partition of unity, part I - formulation and theory. Int J Numer Methods Eng 1999;45:251-88.
    • (1999) Int J Numer Methods Eng , vol.45 , pp. 251-288
    • Li, S.1    Liu, W.K.2
  • 27
    • 0032686802 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity, part II - applications
    • Li S, Liu WK. Reproducing kernel hierarchical partition of unity, part II - applications. Int J Numer Methods Eng 1999;45:289-317.
    • (1999) Int J Numer Methods Eng , vol.45 , pp. 289-317
    • Li, S.1    Liu, W.K.2
  • 28
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech 1992;10:307-18.
    • (1992) Comput Mech , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 29
    • 0000882148 scopus 로고    scopus 로고
    • The method of finite spheres
    • De S, Bathe KJ. The method of finite spheres. Comput Mech 2000;25:329-45.
    • (2000) Comput Mech , vol.25 , pp. 329-345
    • De, S.1    Bathe, K.J.2
  • 30
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear in flexural motion of isotropic elastic plates
    • Mindlin RD. Influence of rotatory inertia and shear in flexural motion of isotropic elastic plates. J Appl mech 1951;18:1031-6.
    • (1951) J Appl mech , vol.18 , pp. 1031-1036
    • Mindlin, R.D.1
  • 31
    • 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;51:745-52.
    • (1984) J Appl Mech , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 32
    • 16344362864 scopus 로고    scopus 로고
    • Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method
    • Ferreira AJM, Batra RC, Roque CMC, Qian LF, Martins PALS. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Compos Struct 2005;69:449-57.
    • (2005) Compos Struct , vol.69 , pp. 449-457
    • Ferreira, A.J.M.1    Batra, R.C.2    Roque, C.M.C.3    Qian, L.F.4    Martins, P.A.L.S.5
  • 36
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 1973;21:571-4.
    • (1973) Acta Metall , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 37
    • 33750632887 scopus 로고    scopus 로고
    • Natural frequencies of FSDT cross-ply composite shells by multiquadrics
    • Ferreira AJM, Roque CMC, Jorge RMN. Natural frequencies of FSDT cross-ply composite shells by multiquadrics. Compos Struct 2007;77:296-305.
    • (2007) Compos Struct , vol.77 , pp. 296-305
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Jorge, R.M.N.3
  • 38
    • 4143061285 scopus 로고    scopus 로고
    • Radial basis functions and higherorder shear deformation theories in the analysis of laminated composite beams and plates
    • Ferreira AJM, Roque CMC, Martins PALS. Radial basis functions and higherorder shear deformation theories in the analysis of laminated composite beams and plates. Compos Struct 2004;66:287-93.
    • (2004) Compos Struct , vol.66 , pp. 287-293
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Martins, P.A.L.S.3
  • 39
    • 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: 385-92.
    • (2003) Compos Struct , vol.59 , pp. 385-392
    • Ferreira, A.J.M.1
  • 40
    • 33751409859 scopus 로고    scopus 로고
    • Mesh-free radial basis function method for static, free vibration and buckling analysis of shear deformable composite laminates
    • Liu L, Chua LP, Ghista DN. Mesh-free radial basis function method for static, free vibration and buckling analysis of shear deformable composite laminates. Compos Struct 2007;78:58-69.
    • (2007) Compos Struct , vol.78 , pp. 58-69
    • Liu, L.1    Chua, L.P.2    Ghista, D.N.3
  • 41
    • 0000674330 scopus 로고
    • Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluation
    • Pandya BN, Kant T. Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluation. Int J Solids Struct 1988;24: 419-51.
    • (1988) Int J Solids Struct , vol.24 , pp. 419-451
    • Pandya, B.N.1    Kant, T.2
  • 42
    • 33845871458 scopus 로고    scopus 로고
    • A radial basis function approach for the free vibration analysis of functionally graded plates using a refined theory
    • Roque CMC, Ferreira AJM, Jorge RMN. A radial basis function approach for the free vibration analysis of functionally graded plates using a refined theory. J Sound Vib 2007;300:1048-70.
    • (2007) J Sound Vib , vol.300 , pp. 1048-1070
    • Roque, C.M.C.1    Ferreira, A.J.M.2    Jorge, R.M.N.3
  • 43
    • 0036164688 scopus 로고    scopus 로고
    • Higher-order piezoelectric plate theory derived from a three-dimensional variational principle
    • Batra RC, Vidolis S. Higher-order piezoelectric plate theory derived from a three-dimensional variational principle. AIAA J 2002;40:91-104.
    • (2002) AIAA J , vol.40 , pp. 91-104
    • Batra, R.C.1    Vidolis, S.2
  • 44
    • 33847648493 scopus 로고    scopus 로고
    • Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions
    • Gilhooley DF, Batra RC, Xiao JR, McCarthy MA, Gillespie Jr JW. Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Compos Struct 2007;80:539-52.
    • (2007) Compos Struct , vol.80 , pp. 539-552
    • Gilhooley, D.F.1    Batra, R.C.2    Xiao, J.R.3    McCarthy, M.A.4    Gillespie Jr., J.W.5
  • 45
    • 39049173487 scopus 로고    scopus 로고
    • Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method
    • Xiao JR, Gilhooley DF, Batra RC, Gillespie Jr JW, McCarthy MA. Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method. Compos Part B: Eng 2008;39:414-27.
    • (2008) Compos Part B: Eng , vol.39 , pp. 414-427
    • Xiao, J.R.1    Gilhooley, D.F.2    Batra, R.C.3    Gillespie Jr., J.W.4    McCarthy, M.A.5
  • 46
    • 3042699920 scopus 로고    scopus 로고
    • Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petro-Galerkin method
    • Qian LF, Batra RC, Chen LM. Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petro-Galerkin method. Comput Mech 2004;33:263-73.
    • (2004) Comput Mech , vol.33 , pp. 263-273
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 47
    • 33745429830 scopus 로고    scopus 로고
    • Analysis of plates and laminates using the element-free Galerkin method
    • Belinha J, Dinis LMJS. Analysis of plates and laminates using the element-free Galerkin method. Comput Struct 2006;84:1547-59.
    • (2006) Comput Struct , vol.84 , pp. 1547-1559
    • Belinha, J.1    Dinis, L.M.J.S.2
  • 48
    • 33845225925 scopus 로고    scopus 로고
    • Nonlinear analysis of plates and laminates using the element-free Galerkin method
    • Belinha J, Dinis LMJS. Nonlinear analysis of plates and laminates using the element-free Galerkin method. Compos Struct 2007;78:337-50.
    • (2007) Compos Struct , vol.78 , pp. 337-350
    • Belinha, J.1    Dinis, L.M.J.S.2
  • 49
    • 17744376563 scopus 로고    scopus 로고
    • Thermomechanical analysis of functionally graded material (FGM) plates using element-free Galerkin method
    • Dai KY, Liu GR, Han X, Lim KM. Thermomechanical analysis of functionally graded material (FGM) plates using element-free Galerkin method. Comput Struct 2005;83:1487-502.
    • (2005) Comput Struct , vol.83 , pp. 1487-1502
    • Dai, K.Y.1    Liu, G.R.2    Han, X.3    Lim, K.M.4
  • 50
    • 33847673927 scopus 로고    scopus 로고
    • Analysis of natural frequencies of composite plates by an RBF-pseudospectral method
    • Ferreira AJM, Fasshauer GE. Analysis of natural frequencies of composite plates by an RBF-pseudospectral method. Compos Struct 2007;79:202-10.
    • (2007) Compos Struct , vol.79 , pp. 202-210
    • Ferreira, A.J.M.1    Fasshauer, G.E.2
  • 51
    • 50549090084 scopus 로고    scopus 로고
    • Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter
    • Ferreira AJM, Fasshauer GE, Batra RC, Rodrigues JD. Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter. Compos Struct 2008;86:328-43.
    • (2008) Compos Struct , vol.86 , pp. 328-343
    • Ferreira, A.J.M.1    Fasshauer, G.E.2    Batra, R.C.3    Rodrigues, J.D.4
  • 52
    • 77950368621 scopus 로고    scopus 로고
    • A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory
    • Castro LMS, Ferreira AJM, Bertoluzza S, Batra RC, Reddy JN. A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory. Compos Struct 2010;92:1786-92.
    • (2010) Compos Struct , vol.92 , pp. 1786-1792
    • Castro, L.M.S.1    Ferreira, A.J.M.2    Bertoluzza, S.3    Batra, R.C.4    Reddy, J.N.5
  • 53
    • 11044228319 scopus 로고    scopus 로고
    • Vibration analysis of generally laminated composite plates by the moving least squares differential quadrature method
    • Wu L, Li H, Wang D. Vibration analysis of generally laminated composite plates by the moving least squares differential quadrature method. Compos Struct 2005;68:319-30.
    • (2005) Compos Struct , vol.68 , pp. 319-330
    • Wu, L.1    Li, H.2    Wang, D.3
  • 54
    • 33750606393 scopus 로고    scopus 로고
    • Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method
    • Wu L, Wang H, Wang D. Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method. Compos Struct 2007;77:383-94.
    • (2007) Compos Struct , vol.77 , pp. 383-394
    • Wu, L.1    Wang, H.2    Wang, D.3
  • 55
    • 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, Sha YD, Shi H. Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories. Compos Struct 2009;91:31-7.
    • (2009) Compos Struct , vol.91 , pp. 31-37
    • Xiang, S.1    Wang, K.M.2    Ai, Y.T.3    Sha, Y.D.4    Shi, H.5
  • 56
    • 0000215285 scopus 로고
    • An accurate simple theory of statics and dynamics of elastic plates
    • Levinson M. An accurate simple theory of statics and dynamics of elastic plates. Mech Res Commun 1980;7:343-50.
    • (1980) Mech Res Commun , vol.7 , pp. 343-350
    • Levinson, M.1
  • 57
    • 0025725639 scopus 로고
    • An efficient standard plate theory
    • Touratier M. An efficient standard plate theory. Int J Eng Sci 1991;29:901-16.
    • (1991) Int J Eng Sci , vol.29 , pp. 901-916
    • Touratier, M.1
  • 58
    • 0037371051 scopus 로고    scopus 로고
    • Mechanical behavior of laminated composite beam by new multi-layered composite structures model with transverse shear stress continuity
    • Karama M, Afaq KS, Mistou KS. Mechanical behavior of laminated composite beam by new multi-layered composite structures model with transverse shear stress continuity. Int J Solids Struct 2003;40:1525-46.
    • (2003) Int J Solids Struct , vol.40 , pp. 1525-1546
    • Karama, M.1    Afaq, K.S.2    Mistou, K.S.3
  • 59
    • 61449129516 scopus 로고    scopus 로고
    • A new shear deformation theory for laminated composite plates
    • Aydogdu M. A new shear deformation theory for laminated composite plates. Compos Struct 2009;89:94-101.
    • (2009) Compos Struct , vol.89 , pp. 94-101
    • Aydogdu, M.1
  • 60
    • 13344279435 scopus 로고    scopus 로고
    • Developments, ideas and evaluations based upon the Reissner's mixed variational theorem in the modeling of multilayered plates and shells
    • Carrera E. Developments, ideas and evaluations based upon the Reissner's mixed variational theorem in the modeling of multilayered plates and shells. Appl Mech Rev 2001;54:301-29.
    • (2001) Appl Mech Rev , vol.54 , pp. 301-329
    • Carrera, E.1
  • 61
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarks
    • Carrera E. Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarks. Arch Comput Methods Eng 2003;10:215-96.
    • (2003) Arch Comput Methods Eng , vol.10 , pp. 215-296
    • Carrera, E.1
  • 62
    • 40849140904 scopus 로고    scopus 로고
    • 3 Hierarchy plate theories for thick and thin composite plates: The generalized unified formulation
    • 3 Hierarchy plate theories for thick and thin composite plates: the generalized unified formulation. Compos Struct 2008;84:256-70.
    • (2008) Compos Struct , vol.84 , pp. 256-270
    • Demasi, L.1
  • 63
    • 4644273168 scopus 로고    scopus 로고
    • Assessment of theories for free vibration analysis of homogeneous and multilayered plates
    • Carrera E. Assessment of theories for free vibration analysis of homogeneous and multilayered plates. Shock Vib 2004:261-70.
    • (2004) Shock Vib , pp. 261-270
    • Carrera, E.1
  • 64
    • 0000089147 scopus 로고    scopus 로고
    • A study of transverse normal stress effect on vibration of multilayered plates and shells
    • Carrera E. A study of transverse normal stress effect on vibration of multilayered plates and shells. J Sound Vib 1999;225:803-29.
    • (1999) J Sound Vib , vol.225 , pp. 803-829
    • Carrera, E.1
  • 65
    • 0034140570 scopus 로고    scopus 로고
    • Single-layer vs. multi-layers plate modelings on the basis of Reissner's mixed theorem
    • Carrera E. Single-layer vs. multi-layers plate modelings on the basis of Reissner's mixed theorem. AIAA J 2000;38:342-52.
    • (2000) AIAA J , vol.38 , pp. 342-352
    • Carrera, E.1
  • 66
    • 11344280252 scopus 로고    scopus 로고
    • Assessment of plate elements on bending and vibrations of composite structures
    • Carrera E, Demasi L, Manganello M. Assessment of plate elements on bending and vibrations of composite structures. Mech Adv Mater Struct 2002;9:333-57.
    • (2002) Mech Adv Mater Struct , vol.9 , pp. 333-357
    • Carrera, E.1    Demasi, L.2    Manganello, M.3
  • 67
    • 51249098500 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the generalized unified formulation. Part I: Governing equations
    • 6 Mixed plate theories based on the generalized unified formulation. Part I: governing equations. Compos Struct 2009;87:1-11.
    • (2009) Compos Struct , vol.87 , pp. 1-11
    • Demasi, L.1
  • 68
    • 51249102593 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the generalized unified formulation. Part II: Layerwise theories
    • 6 Mixed plate theories based on the generalized unified formulation. Part II: layerwise theories. Compos Struct 2009;87:12-22.
    • (2009) Compos Struct , vol.87 , pp. 12-22
    • Demasi, L.1
  • 69
    • 52749085411 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the generalized unified formulation. Part III: Advanced mixed high order shear deformation theories
    • 6 Mixed plate theories based on the generalized unified formulation. Part III: advanced mixed high order shear deformation theories. Compos Struct 2009;87:183-94.
    • (2009) Compos Struct , vol.87 , pp. 183-194
    • Demasi, L.1
  • 70
    • 52749090239 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the generalized unified formulation. Part IV: Zig-zag theories
    • 6 Mixed plate theories based on the generalized unified formulation. Part IV: zig-zag theories. Compos Struct 2009;87:195-205.
    • (2009) Compos Struct , vol.87 , pp. 195-205
    • Demasi, L.1
  • 71
    • 51249098500 scopus 로고    scopus 로고
    • 6 mixed plate theories based on the generalized unified formulation. Part V: Results
    • 6 mixed plate theories based on the generalized unified formulation. Part V: results. Compos Struct 2009;88:1-16.
    • (2009) Compos Struct , vol.88 , pp. 1-16
    • Demasi, L.1
  • 72
    • 33646069628 scopus 로고    scopus 로고
    • Quasi-3D analysis of free vibration of anisotropic plates
    • Demasi L. Quasi-3D analysis of free vibration of anisotropic plates. Compos Struct 2006;74:449-57.
    • (2006) Compos Struct , vol.74 , pp. 449-457
    • Demasi, L.1
  • 73
    • 0142180172 scopus 로고    scopus 로고
    • Recent research advances in the dynamic behavior of shells: 1989-2000. Part 1: Laminated composite shells
    • Qatu M. Recent research advances in the dynamic behavior of shells: 1989-2000. Part 1: laminated composite shells. Appl Mech Rev 2002;55:325-49.
    • (2002) Appl Mech Rev , vol.55 , pp. 325-349
    • Qatu, M.1
  • 74
    • 1342283018 scopus 로고    scopus 로고
    • Recent research advances in the dynamic behavior of shells: 1989-2000. Part 2: Homogeneous shells
    • Qatu M. Recent research advances in the dynamic behavior of shells: 1989-2000. Part 2: homogeneous shells. Appl Mech Rev 2002;55:415-34.
    • (2002) Appl Mech Rev , vol.55 , pp. 415-434
    • Qatu, M.1
  • 75
    • 77955276497 scopus 로고    scopus 로고
    • Recent research advances on the dynamic analysis of composite shells: 2000-2009
    • Qatu MS, Sullivan RW, Wang W. Recent research advances on the dynamic analysis of composite shells: 2000-2009. Compos Struct 2010;93:14-31.
    • (2010) Compos Struct , vol.93 , pp. 14-31
    • Qatu, M.S.1    Sullivan, R.W.2    Wang, W.3
  • 76
    • 64349105091 scopus 로고    scopus 로고
    • A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates
    • Carrera E, Brischetto S. A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Appl Mech Rev 2009;62:010803-1-010803-17.
    • (2009) Appl Mech Rev , vol.62 , pp. 1-17
    • Carrera, E.1    Brischetto, S.2
  • 77
    • 0242527354 scopus 로고    scopus 로고
    • Exact solution for functionally graded anisotropic elastic composite laminates
    • Pan E. Exact solution for functionally graded anisotropic elastic composite laminates. J Compos Mater 2003;37:1903-20.
    • (2003) J Compos Mater , vol.37 , pp. 1903-1920
    • Pan, E.1
  • 78
    • 14544291447 scopus 로고    scopus 로고
    • Exact solution for functionally graded and layered magneto-electro-elastic plates
    • Pan E, Han F. Exact solution for functionally graded and layered magneto-electro-elastic plates. Int J Eng Sci 2005;43:321-39.
    • (2005) Int J Eng Sci , vol.43 , pp. 321-339
    • Pan, E.1    Han, F.2
  • 79
    • 0037007763 scopus 로고    scopus 로고
    • Free vibration of simply supported and multilayered magneto-electro-elastic plates
    • Pan E, Heyliger PR. Free vibration of simply supported and multilayered magneto-electro-elastic plates. J Sound Vib 2002;252:429-42.
    • (2002) J Sound Vib , vol.252 , pp. 429-442
    • Pan, E.1    Heyliger, P.R.2
  • 80
    • 12344328662 scopus 로고    scopus 로고
    • Three-dimensional elasticity solution for bending of functionally graded rectangular plates
    • Kashtalyan M. Three-dimensional elasticity solution for bending of functionally graded rectangular plates. Eur J Mech A/Solids 2004;23:853-64.
    • (2004) Eur J Mech A/Solids , vol.23 , pp. 853-864
    • Kashtalyan, M.1
  • 81
    • 2142713821 scopus 로고    scopus 로고
    • Three-dimensional exact solution for the vibration of functionally graded rectangular plates
    • Vel SS, Batra RC. Three-dimensional exact solution for the vibration of functionally graded rectangular plates. J Sound Vib 2004;272:703-30.
    • (2004) J Sound Vib , vol.272 , pp. 703-730
    • Vel, S.S.1    Batra, R.C.2
  • 82
    • 17844395970 scopus 로고    scopus 로고
    • Natural frequencies of a functionally graded anisotropic rectangular plate
    • Batra RC, Jin J. Natural frequencies of a functionally graded anisotropic rectangular plate. J Sound Vib 2005;282:509-16.
    • (2005) J Sound Vib , vol.282 , pp. 509-516
    • Batra, R.C.1    Jin, J.2
  • 83
    • 0742287810 scopus 로고    scopus 로고
    • Analytical solution for the cylindrical bending vibration of piezoelectric composite plates
    • Vel SS, Mewer RC, Batra RC. Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Int J Solids Struct 2004;41:1625-43.
    • (2004) Int J Solids Struct , vol.41 , pp. 1625-1643
    • Vel, S.S.1    Mewer, R.C.2    Batra, R.C.3
  • 84
    • 46749157005 scopus 로고    scopus 로고
    • Semi-analytical three-dimensional elasticity solutions for generally laminated composite plates
    • Lü CF, Chen WQ, Shao JW. Semi-analytical three-dimensional elasticity solutions for generally laminated composite plates. Eur J Mech A/Solids 2008;27:899-917.
    • (2008) Eur J Mech A/Solids , vol.27 , pp. 899-917
    • Lü, C.F.1    Chen, W.Q.2    Shao, J.W.3
  • 85
    • 34248586961 scopus 로고    scopus 로고
    • Semi-analytical solutions for free vibration of anisotropic laminated plates in cylindrical bending
    • Lü CF, Huang ZY, Chen WQ. Semi-analytical solutions for free vibration of anisotropic laminated plates in cylindrical bending. J Sound Vib 2007;304:987-95.
    • (2007) J Sound Vib , vol.304 , pp. 987-995
    • Lü, C.F.1    Huang, Z.Y.2    Chen, W.Q.3
  • 86
    • 38349101874 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of functionally graded material sandwich plates
    • Li Q, Iu VP, Kou KP. Three-dimensional vibration analysis of functionally graded material sandwich plates. J Sound Vib 2008;311:498-515.
    • (2008) J Sound Vib , vol.311 , pp. 498-515
    • Li, Q.1    Iu, V.P.2    Kou, K.P.3
  • 87
    • 24344433455 scopus 로고    scopus 로고
    • Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach
    • Ramirez F, Heyliger PR, Pan E. Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach. Compos Part B: Eng 2006;37:10-20.
    • (2006) Compos Part B: Eng , vol.37 , pp. 10-20
    • Ramirez, F.1    Heyliger, P.R.2    Pan, E.3
  • 88
    • 33645796478 scopus 로고    scopus 로고
    • Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates
    • Ramirez F, Heyliger PR, Pan E. Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates. Mech Adv Mater Struct 2006;13:249-66.
    • (2006) Mech Adv Mater Struct , vol.13 , pp. 249-266
    • Ramirez, F.1    Heyliger, P.R.2    Pan, E.3
  • 89
    • 0037076804 scopus 로고    scopus 로고
    • Thermally induced dynamic instability of laminated composite conical shells
    • Wu CP, Chiu SJ. Thermally induced dynamic instability of laminated composite conical shells. Int J Solids Struct 2002;39:3001-21.
    • (2002) Int J Solids Struct , vol.39 , pp. 3001-3021
    • Wu, C.P.1    Chiu, S.J.2
  • 90
    • 33744825720 scopus 로고    scopus 로고
    • An asymptotic theory for dynamic response of laminated piezoelectric shells
    • Wu CP, Lo JY. An asymptotic theory for dynamic response of laminated piezoelectric shells. Acta Mech 2006;183:177-208.
    • (2006) Acta Mech , vol.183 , pp. 177-208
    • Wu, C.P.1    Lo, J.Y.2
  • 91
    • 74449090056 scopus 로고    scopus 로고
    • Dynamic responses of functionally graded magneto-electro-elastic shells with closed-circuit surface conditions using the method of multiple scales
    • Wu CP, Tsai YH. Dynamic responses of functionally graded magneto-electro-elastic shells with closed-circuit surface conditions using the method of multiple scales. Eur J Mech A/Solids 2010;29:166-81.
    • (2010) Eur J Mech A/Solids , vol.29 , pp. 166-181
    • Wu, C.P.1    Tsai, Y.H.2
  • 92
    • 58049197987 scopus 로고    scopus 로고
    • Cylindrical bending vibration of functionally graded piezoelectric shells using the method of perturbation
    • Wu CP, Tsai YH. Cylindrical bending vibration of functionally graded piezoelectric shells using the method of perturbation. J Eng Math 2009;63:95-119.
    • (2009) J Eng Math , vol.63 , pp. 95-119
    • Wu, C.P.1    Tsai, Y.H.2
  • 93
    • 35349016416 scopus 로고    scopus 로고
    • A state space approach for the analysis of doubly curved functionally graded elastic and piezoelectric shells
    • Wu CP, Liu KY. A state space approach for the analysis of doubly curved functionally graded elastic and piezoelectric shells. Comput Mater Continua 2007;6:177-99.
    • (2007) Comput Mater Continua , vol.6 , pp. 177-199
    • Wu, C.P.1    Liu, K.Y.2
  • 94
    • 75849165349 scopus 로고    scopus 로고
    • Three-dimensional static behavior of functionally graded magneto-electro-elastic plates using the modified Pagano method
    • Wu CP, Chen SJ, Chiu KH. Three-dimensional static behavior of functionally graded magneto-electro-elastic plates using the modified Pagano method. Mech Res Commun 2010;37:54-60.
    • (2010) Mech Res Commun , vol.37 , pp. 54-60
    • Wu, C.P.1    Chen, S.J.2    Chiu, K.H.3
  • 95
    • 67349212240 scopus 로고    scopus 로고
    • A modified Pagano method for the 3D dynamic responses of functionally graded magneto-electro-elastic plates
    • Wu CP, Lu YC. A modified Pagano method for the 3D dynamic responses of functionally graded magneto-electro-elastic plates. Compos Struct 2009;90:363-72.
    • (2009) Compos Struct , vol.90 , pp. 363-372
    • Wu, C.P.1    Lu, Y.C.2
  • 96
    • 77449155495 scopus 로고    scopus 로고
    • Three-dimensional solutions of functionally graded piezo-thermo-elastic shells and plates using a modified Pagano method
    • Wu CP, Huang SE. Three-dimensional solutions of functionally graded piezo-thermo-elastic shells and plates using a modified Pagano method. Comput Mater Continua 2009;12:251-82.
    • (2009) Comput Mater Continua , vol.12 , pp. 251-282
    • Wu, C.P.1    Huang, S.E.2
  • 97
    • 58149380326 scopus 로고    scopus 로고
    • A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells
    • Wu CP, Chiu KH, Wang YM. A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells. Comput Mater Continua 2008;18:93-132.
    • (2008) Comput Mater Continua , vol.18 , pp. 93-132
    • Wu, C.P.1    Chiu, K.H.2    Wang, Y.M.3
  • 98
    • 79954626111 scopus 로고    scopus 로고
    • A Hermite DRK interpolation-based collocation method for the analysis of Bernoulli-Euler beams and Kirchhoff-Love plates
    • doi:10.1007/s00466-010-0552-7
    • Chen SM, Wu CP, Wang YM. A Hermite DRK interpolation-based collocation method for the analysis of Bernoulli-Euler beams and Kirchhoff-Love plates. Comput Mech 2010. doi:10.1007/s00466-010-0552-7.
    • (2010) Comput Mech
    • Chen, S.M.1    Wu, C.P.2    Wang, Y.M.3
  • 99
    • 79951514319 scopus 로고    scopus 로고
    • RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates
    • Wu CP, Chiu KH, Wang YM. RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates. Compos Struct 2011;93:923-43.
    • (2011) Compos Struct , vol.93 , pp. 923-943
    • Wu, C.P.1    Chiu, K.H.2    Wang, Y.M.3
  • 100
    • 34247581039 scopus 로고
    • Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
    • Srinivas S, Rao AK. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int J Solids Struct 1970;6:1463-81.
    • (1970) Int J Solids Struct , vol.6 , pp. 1463-1481
    • Srinivas, S.1    Rao, A.K.2
  • 101
    • 0014886850 scopus 로고
    • Shear deformation in heterogeneous anisotropic plates
    • Whitney JM, Pagano NJ. Shear deformation in heterogeneous anisotropic plates. J Appl Mech 1970;37:1031-6.
    • (1970) J Appl Mech , vol.37 , pp. 1031-1036
    • Whitney, J.M.1    Pagano, N.J.2


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