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Volumn 238, Issue , 2014, Pages 225-236

Analysis of composite plates using moving least squares differential quadrature method

Author keywords

Composite plates; Differential quadrature; Functionally graded material; Moving least squares; Transverse shear theory

Indexed keywords

FUNCTIONALLY GRADED MATERIALS;

EID: 84899641456     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.02.101     Document Type: Article
Times cited : (23)

References (44)
  • 1
    • 0035400943 scopus 로고    scopus 로고
    • Relationships between bending solutions of Reissner and Mindlin plate theories
    • DOI 10.1016/S0141-0296(00)00092-4, PII S0141029600000924
    • C.M. Wang, G.T. Lim, J.N. Reddy, and K.H. Lee Relationships between bending solutions of Reissner and Mindlin plate theories' Eng. Struct. 23 2001 838 849 (Pubitemid 32399609)
    • (2001) Engineering Structures , vol.23 , Issue.7 , pp. 838-849
    • Wang, C.M.1    Lim, G.T.2    Reddy, J.N.3    Lee, K.H.4
  • 2
    • 0037933475 scopus 로고    scopus 로고
    • Exact mixed-classical solutions for the bending analysis of shear deformable rectangular plates'
    • M. Ashraf Zenkour Exact mixed-classical solutions for the bending analysis of shear deformable rectangular plates' Appl. Math. Modell. 27 2003 515 534
    • (2003) Appl. Math. Modell. , vol.27 , pp. 515-534
    • Ashraf Zenkour, M.1
  • 4
    • 0024964421 scopus 로고
    • Vibration and stability analysis of stiffened plates by semi-analytic finite difference method, part I: Consideration of bending displacements only''
    • M. Mukhopadhyay Vibration and stability analysis of stiffened plates by semi-analytic finite difference method, part I: consideration of bending displacements only'' J. Sound Vib. 130 1989 27 39
    • (1989) J. Sound Vib. , vol.130 , pp. 27-39
    • Mukhopadhyay, M.1
  • 5
    • 84859721273 scopus 로고    scopus 로고
    • Finite element modeling for bending and vibration analysis of laminated and sandwich composite plates based on higher-order theory
    • Tran Minh Tu, Le Ngoc Thach, and Tran Huu Quoc Finite element modeling for bending and vibration analysis of laminated and sandwich composite plates based on higher-order theory Comput. Mater. Sci. 49 2010 S390 S394
    • (2010) Comput. Mater. Sci. , vol.49
    • Tu, T.M.1    Thach, L.N.2    Quoc, T.H.3
  • 6
    • 0021306982 scopus 로고
    • Review and catalogue of plate bending finite elements
    • DOI 10.1016/0045-7949(84)90055-5
    • M.M. Hrabok, and T.M. Hrudey A review and catalogue of plate bending finite elements Comput. Struct. 19 1984 479 495 (Pubitemid 14664106)
    • (1984) Computers and Structures , vol.19 , Issue.3 , pp. 479-495
    • Hrabok, M.M.1    Hrudey, T.M.2
  • 7
    • 0028594386 scopus 로고
    • Application of the boundary-domain-element method to the harmonic-bending-vibration problem of thin elastic plates
    • Masa Tanaka, T. Matsumoto, and A. Shiozaki Application of the boundary-domain-element method to the harmonic-bending-vibration problem of thin elastic plates Eng. Anal. Boundary Elem. 13 1994 239 247
    • (1994) Eng. Anal. Boundary Elem. , vol.13 , pp. 239-247
    • Tanaka, M.1    Matsumoto, T.2    Shiozaki, A.3
  • 8
    • 0032024575 scopus 로고    scopus 로고
    • Static bending analysis of stiffened plates using the boundary element method
    • PII S0955799798000022
    • Masa Tanaka, and A.N. Bercin Static bending analysis of stiffened plates using the boundary element method Eng. Anal. Boundary Elem. 21 1998 147 154 (Pubitemid 128390843)
    • (1998) Engineering Analysis with Boundary Elements , vol.21 , Issue.2 , pp. 147-154
    • Tanaka, M.1    Bercin, A.N.2
  • 9
    • 33847641060 scopus 로고    scopus 로고
    • Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method
    • DOI 10.1016/j.ijmecsci.2006.10.002, PII S0020740306002396
    • Ö. Civalek Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method Int. J. Mech. Sci. 49 2007 752 765 (Pubitemid 46365697)
    • (2007) International Journal of Mechanical Sciences , vol.49 , Issue.6 , pp. 752-765
    • Civalek, O.1
  • 10
    • 51949113994 scopus 로고    scopus 로고
    • A four-node discrete singular convolution for geometric transformation and its application to numerical solution of vibration problem of arbitrary straight-sided quadrilateral plates
    • Ö. Civalek A four-node discrete singular convolution for geometric transformation and its application to numerical solution of vibration problem of arbitrary straight-sided quadrilateral plates Appl. Math. Modell. 33 2009 300 314
    • (2009) Appl. Math. Modell. , vol.33 , pp. 300-314
    • Civalek, Ö.1
  • 11
    • 34249020826 scopus 로고    scopus 로고
    • An efficient wave based prediction technique for plate bending vibrations
    • DOI 10.1016/j.cma.2007.03.002, PII S0045782507001260
    • C. Vanmaele, D. Vandepitte, and W. Desmet An efficient wave based prediction technique for plate bending vibrations Comput. Meth. Appl. Mech. Eng. 196 2007 3178 3189 (Pubitemid 46780138)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.33-34 , pp. 3178-3189
    • Vanmaele, C.1    Vandepitte, D.2    Desmet, W.3
  • 13
    • 0037262952 scopus 로고    scopus 로고
    • Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method
    • K.M. Liew, and Y.Q. Huang Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method Int. J. Mech. Sci. 45 2003 95 114
    • (2003) Int. J. Mech. Sci. , vol.45 , pp. 95-114
    • Liew, K.M.1    Huang, Y.Q.2
  • 14
    • 3142769838 scopus 로고    scopus 로고
    • Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method
    • DOI 10.1016/j.cma.2003.12.039, PII S0045782504000489
    • Y.Q. Huang, and Q.S. Li Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method Comput. Meth. Appl. Mech. Eng. 193 2004 3471 3492 (Pubitemid 38921161)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.33-35 , pp. 3471-3492
    • Huang, Y.Q.1    Li, Q.S.2
  • 15
    • 80053251561 scopus 로고    scopus 로고
    • An efficient mixed methodology for free vibration and buckling analysis of orthotropic rectangular plates
    • A.A. Jafari, and S.A. Eftekhari An efficient mixed methodology for free vibration and buckling analysis of orthotropic rectangular plates Appl. Math. Comput. 218 2011 2670 2692
    • (2011) Appl. Math. Comput. , vol.218 , pp. 2670-2692
    • Jafari, A.A.1    Eftekhari, S.A.2
  • 16
    • 84886890877 scopus 로고    scopus 로고
    • Differential quadrature analysis of free vibration of rhombic plates with free edges
    • Xinwei Wang, and Zhe Wu Differential quadrature analysis of free vibration of rhombic plates with free edges Appl. Math. Comput. 225 2013 171 183
    • (2013) Appl. Math. Comput. , vol.225 , pp. 171-183
    • Wang, X.1    Wu, Z.2
  • 17
    • 0021466557 scopus 로고
    • Differential quadrature for multidimensional problems"
    • F. Civan, and C.M. Sliepcevich Differential quadrature for multidimensional problems" J. Math. Anal. Appl. 101 1984 423 443
    • (1984) J. Math. Anal. Appl. , vol.101 , pp. 423-443
    • Civan, F.1    Sliepcevich, C.M.2
  • 18
    • 0033157742 scopus 로고    scopus 로고
    • Static analysis of Mindlin plates: The differential quadrature element method (DQEM)
    • DOI 10.1016/S0045-7825(99)00371-0
    • J.B. Han, and K.M. Liew Static analysis of Mindlin plates, the differential quadrature element method (DQEM) Comput. Meth. Appl. Mech. Eng. 177 1999 51 75 (Pubitemid 30511908)
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.177 , Issue.1-2 , pp. 51-75
    • Han, J.-B.1    Liew, K.M.2
  • 19
    • 0032156233 scopus 로고    scopus 로고
    • Static analysis of Reissner-Mindlin plates by differential quadrature element method
    • F.L. Liu, and K.M. Liew Static analysis of Reissner-Mindlin plates by differential quadrature element method' J. Appl. Mech. (ASME) 65 1998 705 710 (Pubitemid 128651890)
    • (1998) Journal of Applied Mechanics, Transactions ASME , vol.65 , Issue.3 , pp. 705-710
    • Liu, F.-L.1    Liew, K.M.2
  • 20
    • 0032671853 scopus 로고    scopus 로고
    • Differential quadrature element method for static analysis of Reissner-Mindlin polar plates
    • F.L. Liu, and K.M. Liew Differential quadrature element method for static analysis of Reissner-Mindlin polar plates Int. J. Solids Struct. 36 1999 5101 5123
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 5101-5123
    • Liu, F.L.1    Liew, K.M.2
  • 21
    • 0031077934 scopus 로고    scopus 로고
    • A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates
    • K.M. Liew, and J.B. Han A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates Commun. Numer. Methods Eng. 13 1997 62 73
    • (1997) Commun. Numer. Methods Eng. , vol.13 , pp. 62-73
    • Liew, K.M.1    Han, J.B.2
  • 22
    • 0031069030 scopus 로고    scopus 로고
    • An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates
    • PII S0045782596011152
    • J.B. Han, and K.M. Liew An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates Comput. Meth. Appl. Mech Eng. 141 1997 265 280 (Pubitemid 127411043)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.141 , Issue.3-4 , pp. 265-280
    • Han, J.-B.1    Liew, K.M.2
  • 23
    • 0348144661 scopus 로고    scopus 로고
    • Harmonic differential quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates
    • O. Civalek, and M. Ülker Harmonic differential quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates Struct. Eng. Mech. 17 2004 1 14
    • (2004) Struct. Eng. Mech. , vol.17 , pp. 1-14
    • Civalek, O.1    Ülker, M.2
  • 24
    • 0345832022 scopus 로고    scopus 로고
    • Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
    • DOI 10.1016/j.engstruct.2003.09.005
    • O. Civalek Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns" Eng. Struct. 26 2004 171 186 (Pubitemid 38092752)
    • (2004) Engineering Structures , vol.26 , Issue.2 , pp. 171-186
    • Civalek, O.1
  • 25
    • 71949129909 scopus 로고    scopus 로고
    • High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
    • Y. Xing, and B. Liu High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain Int. J. Numer. Meth. Eng. 80 2009 1718 1742
    • (2009) Int. J. Numer. Meth. Eng. , vol.80 , pp. 1718-1742
    • Xing, Y.1    Liu, B.2
  • 26
    • 84896035313 scopus 로고    scopus 로고
    • Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels
    • L.W. Zhang, Z.X. Lei, K.M. Liew, and J.L. Yu Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels Compos. Struct. 111 2014 205 212
    • (2014) Compos. Struct. , vol.111 , pp. 205-212
    • Zhang, L.W.1    Lei, Z.X.2    Liew, K.M.3    Yu, J.L.4
  • 27
    • 84885082340 scopus 로고    scopus 로고
    • Postbuckling of carbon nanotube reinforced functionally graded cylindrical panels under axial compression using a meshless approach
    • K.M. Liew, Z.X. Lei, J.L. Yu, and L.W. Zhang Postbuckling of carbon nanotube reinforced functionally graded cylindrical panels under axial compression using a meshless approach Comput. Meth. Appl. Mech. Eng. 268 2014 1 17
    • (2014) Comput. Meth. Appl. Mech. Eng. , vol.268 , pp. 1-17
    • Liew, K.M.1    Lei, Z.X.2    Yu, J.L.3    Zhang, L.W.4
  • 28
    • 0003124878 scopus 로고    scopus 로고
    • A hybrid moving least squares and differential quadrature (MLSDQ) meshfree method
    • K.M. Liew, Y.Q. Huang, and J.N. Reddy A hybrid moving least squares and differential quadrature (MLSDQ) meshfree method Int. J. Comput. Eng. Sci. 3 2002 1 12
    • (2002) Int. J. Comput. Eng. Sci. , vol.3 , pp. 1-12
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 29
    • 0037981478 scopus 로고    scopus 로고
    • Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method
    • DOI 10.1016/S0045-7825(03)00238-X
    • K.M. Liew, Y.Q. Huang, and J.N. Reddy Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method Comput. Meth. Appl. Mech. Eng. 192 2003 2203 2222 (Pubitemid 36669470)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.19 , pp. 2203-2222
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 30
    • 2442543064 scopus 로고    scopus 로고
    • Analysis of general shaped thin plates by the moving least squares differential quadrature method
    • K.M. Liew, Y.Q. Huang, and J.N. Reddy Analysis of general shaped thin plates by the moving least squares differential quadrature method Finite Elem. Anal. Des. 40 2004 1453 1474
    • (2004) Finite Elem. Anal. Des. , vol.40 , pp. 1453-1474
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 31
    • 0013116104 scopus 로고    scopus 로고
    • Moving least squares differential quadrature method and its application to the analysis of shear deformable plates
    • DOI 10.1002/nme.646
    • K.M. Liew, Y.Q. Haung, and J.N. Reddy Moving least squares differential quadrature method and its application to the analysis of shear deformable plates Int. J. Numer. Methods Eng. 56 2003 2331 2351 (Pubitemid 36533529)
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , Issue.15 , pp. 2331-2351
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 32
    • 79960784906 scopus 로고    scopus 로고
    • A review of meshless methods for laminated and functionally graded plates and shells
    • K.M. Liew, Xin Zhao, and A.J.M. Ferreira A review of meshless methods for laminated and functionally graded plates and shells Compos. Struct. 93 2011 2031 2041
    • (2011) Compos. Struct. , vol.93 , pp. 2031-2041
    • Liew, K.M.1    Zhao, X.2    Ferreira, A.J.M.3
  • 33
    • 84889690319 scopus 로고    scopus 로고
    • Geometrically nonlinear thermomechanichal analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation
    • Ping Zhu, L.W. Zhang, and K.M. Liew Geometrically nonlinear thermomechanichal analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation Compos. Struct. 107 2014 298 314
    • (2014) Compos. Struct. , vol.107 , pp. 298-314
    • Zhu, P.1    Zhang, L.W.2    Liew, K.M.3
  • 34
    • 33750606393 scopus 로고    scopus 로고
    • Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method
    • DOI 10.1016/j.compstruct.2005.07.011, PII S026382230500200X
    • W. Lanhe, W. Hongjun, and W. Daobin Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method' Compos. Struct. 77 2007 383 394 (Pubitemid 44689018)
    • (2007) Composite Structures , vol.77 , Issue.3 , pp. 383-394
    • Lanhe, W.1    Hongjun, W.2    Daobin, W.3
  • 35
    • 84896054111 scopus 로고    scopus 로고
    • Thermal buckling of functionally graded plates using a local Kriging meshless method
    • L.W. Zhang, P. Zhu, and K.M. Liew Thermal buckling of functionally graded plates using a local Kriging meshless method Compos. Struct. 108 2014 472 492
    • (2014) Compos. Struct. , vol.108 , pp. 472-492
    • Zhang, L.W.1    Zhu, P.2    Liew, K.M.3
  • 36
    • 11044228319 scopus 로고    scopus 로고
    • Vibration analysis of generally laminated composite plates by the moving least squares differential quadrature method
    • DOI 10.1016/j.compstruct.2004.03.025, PII S0263822304000893
    • Wu Lanhe, Li Hua, and Wang Daobin Vibration analysis of generally laminated composite plates by the moving least squares differential quadrature method Compos. Struct. 68 2005 319 330 (Pubitemid 40046680)
    • (2005) Composite Structures , vol.68 , Issue.3 , pp. 319-330
    • Lanhe, W.1    Hua, L.2    Daobin, W.3
  • 37
    • 79955947222 scopus 로고    scopus 로고
    • Buckling analysis of Reissner-Mindlin plates subjected to in plane edge loads using a shear locking free and mesh free method
    • T.Q. Bui, M.N. Nguyen, and Ch. Zhang Buckling analysis of Reissner-Mindlin plates subjected to in plane edge loads using a shear locking free and mesh free method Eng. Anal. Boundary Elem. 35 2011 1038 1053
    • (2011) Eng. Anal. Boundary Elem. , vol.35 , pp. 1038-1053
    • Bui, T.Q.1    Nguyen, M.N.2    Zhang, Ch.3
  • 38
    • 0004043663 scopus 로고
    • Noordhoff International Publishing Leydon pp. 13-41
    • V. Panc Theory of Elastic Plates 1975 Noordhoff International Publishing Leydon pp. 13-41
    • (1975) Theory of Elastic Plates
    • Panc, V.1
  • 41
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster, and K. Salkauskas Surfaces generated by moving least squares methods Math. Comput. 37 1981 141 158
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 42
    • 0033687209 scopus 로고    scopus 로고
    • Explicit form and efficient computation of MLS shape functions and their derivatives
    • P. Breitkopf, A. Rassineux, G. Touzot, and P. Villon Explicit form and efficient computation of MLS shape functions and their derivatives Int. J. Numer. Methods Eng. 48 2000 451 466
    • (2000) Int. J. Numer. Methods Eng. , vol.48 , pp. 451-466
    • Breitkopf, P.1    Rassineux, A.2    Touzot, G.3    Villon, P.4


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