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Volumn 36, Issue 8, 2005, Pages 559-572

Modelling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions

Author keywords

Trigonometric layerwise deformation theory

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; FUNCTIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS); SANDWICH STRUCTURES;

EID: 23944473247     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2005.05.003     Document Type: Article
Times cited : (85)

References (44)
  • 1
    • 0014547217 scopus 로고
    • The effect of transverse shear deformation in the bending of laminated plates
    • J.M. Whitney The effect of transverse shear deformation in the bending of laminated plates J Compos Mater 3 1969 534 547
    • (1969) J Compos Mater , vol.3 , pp. 534-547
    • Whitney, J.M.1
  • 2
    • 0014886850 scopus 로고
    • Shear deformation in heterogeneous anisotropic plates
    • J.M. Whitney, and N.J. Pagano Shear deformation in heterogeneous anisotropic plates J Appl Mech 37 4 1970 1031 1036
    • (1970) J Appl Mech , vol.37 , Issue.4 , pp. 1031-1036
    • Whitney, J.M.1    Pagano, N.J.2
  • 3
    • 85003383686 scopus 로고
    • A consistment treatment of transverse shear deformations in laminated anisotropic plates
    • E. Reissner A consistment treatment of transverse shear deformations in laminated anisotropic plates AIAA J 10 5 1972 716 718
    • (1972) AIAA J , vol.10 , Issue.5 , pp. 716-718
    • Reissner, E.1
  • 4
    • 85103554891 scopus 로고
    • The effect of transverse shear deformations on the bending of elastic plates
    • E. Reissner The effect of transverse shear deformations on the bending of elastic plates J Appl Mech 12 1945 A69 A77
    • (1945) J Appl Mech , vol.12
    • Reissner, E.1
  • 6
    • 0015021703 scopus 로고
    • Theory of laminated plates
    • C.T. Sun Theory of laminated plates J Appl Mech 38 1971 231 238
    • (1971) J Appl Mech , vol.38 , pp. 231-238
    • Sun, C.T.1
  • 7
    • 0001806767 scopus 로고
    • A higher order theory for extensional motion of laminated anisotropic shells and plates
    • J.M. Whitney, and C.T. Sun A higher order theory for extensional motion of laminated anisotropic shells and plates J Sound Vibr 30 1973 85 97
    • (1973) J Sound Vibr , vol.30 , pp. 85-97
    • Whitney, J.M.1    Sun, C.T.2
  • 8
    • 0015636461 scopus 로고
    • A refined laminate plate theory
    • S.T. Mau A refined laminate plate theory J Appl Mech 40 1973 606 607
    • (1973) J Appl Mech , vol.40 , pp. 606-607
    • Mau, S.T.1
  • 9
    • 84986998948 scopus 로고
    • A high-order theory of plate deformation, part 1: Homogeneous plates
    • K.H. Lo, R.M. Christensen, and E.M. Wu A high-order theory of plate deformation, part 1: homogeneous plates J Appl Mech 44 7 1977 663 668
    • (1977) J Appl Mech , vol.44 , Issue.7 , pp. 663-668
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 10
    • 84984553958 scopus 로고
    • A high-order theory of plate deformation, part 2: Laminated plates
    • K.H. Lo, R.M. Christensen, and E.M. Wu A high-order theory of plate deformation, part 2: laminated plates J Appl Mech 44 4 1977 669 676
    • (1977) J Appl Mech , vol.44 , Issue.4 , pp. 669-676
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 11
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • J.N. Reddy A simple higher-order theory for laminated composite plates J Appl Mech 51 1984 745 752
    • (1984) J Appl Mech , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 12
    • 0021580001 scopus 로고
    • A refined nonlinear theory of plates with transverse shear deformation
    • J.N. Reddy A refined nonlinear theory of plates with transverse shear deformation Int J Solids Struct 20 9/10 1984 881 906
    • (1984) Int J Solids Struct , vol.20 , Issue.910 , pp. 881-906
    • Reddy, J.N.1
  • 13
    • 0015669924 scopus 로고
    • Transverse shear in laminated plate theories
    • P.C. Chou, and J. Corleone Transverse shear in laminated plate theories AIAA J 11 1973 1333 1336
    • (1973) AIAA J , vol.11 , pp. 1333-1336
    • Chou, P.C.1    Corleone, J.2
  • 14
    • 0023412966 scopus 로고
    • An improved shear-deformation theory for moderately thick multilayered shells and plates
    • M. Di Sciuva An improved shear-deformation theory for moderately thick multilayered shells and plates J Appl Mech 54 1987 589 597
    • (1987) J Appl Mech , vol.54 , pp. 589-597
    • Di Sciuva, M.1
  • 15
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane responses
    • H. Murakami Laminated composite plate theory with improved in-plane responses J Appl Mech 53 1986 661 666
    • (1986) J Appl Mech , vol.53 , pp. 661-666
    • Murakami, H.1
  • 16
    • 0022900207 scopus 로고
    • A new theory of laminated plate
    • J.G. Ren A new theory of laminated plate Compos Sci Technol 26 1986 225 239
    • (1986) Compos Sci Technol , vol.26 , pp. 225-239
    • Ren, J.G.1
  • 17
    • 23944521602 scopus 로고    scopus 로고
    • Analysis of composite plates using a layerwise shear deformation theory and multiquadrics discretization
    • A.J.M. Ferreira Analysis of composite plates using a layerwise shear deformation theory and multiquadrics discretization Mech Adv Mater Struct 12 2005 99 112
    • (2005) Mech Adv Mater Struct , vol.12 , pp. 99-112
    • Ferreira, A.J.M.1
  • 18
    • 0027539452 scopus 로고
    • Modelling of thick composites using a laminate layerwise theory
    • D.H. Robbins, and J.N. Reddy Modelling of thick composites using a laminate layerwise theory Int J Numer Method Eng 36 1993 655 677
    • (1993) Int J Numer Method Eng , vol.36 , pp. 655-677
    • Robbins, D.H.1    Reddy, J.N.2
  • 19
    • 0030168293 scopus 로고    scopus 로고
    • C reissner-mindlin multilayered plate elements including zig-zag and interlaminar stress continuity
    • E. Carrera C reissner-mindlin multilayered plate elements including zig-zag and interlaminar stress continuity Int J Numer Methods Eng 39 1996 1797 1820
    • (1996) Int J Numer Methods Eng , vol.39 , pp. 1797-1820
    • Carrera, E.1
  • 20
    • 0040657378 scopus 로고    scopus 로고
    • Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates
    • E. Carrera, and B. Kroplin Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates Mech Compos Mater Struct 4 1997 69 94
    • (1997) Mech Compos Mater Struct , vol.4 , pp. 69-94
    • Carrera, E.1    Kroplin, B.2
  • 21
    • 0000483402 scopus 로고    scopus 로고
    • Evaluation of layer-wise mixed theories for laminated plate analysis
    • E. Carrera Evaluation of layer-wise mixed theories for laminated plate analysis AIAA J 36 1998 830 839
    • (1998) AIAA J , Issue.36 , pp. 830-839
    • Carrera, E.1
  • 22
    • 0036534318 scopus 로고    scopus 로고
    • A zigzag model for laminated composite beams
    • H. Arya, R.P. Shimpi, and N.K. Naik A zigzag model for laminated composite beams Compos Struct 56 2002 21 24
    • (2002) Compos Struct , vol.56 , pp. 21-24
    • Arya, H.1    Shimpi, R.P.2    Naik, N.K.3
  • 23
    • 0035426608 scopus 로고    scopus 로고
    • A beam finite element based on layerwise trigonometric shear deformation theory
    • R.P. Shimpi, and A.V. Ainapure A beam finite element based on layerwise trigonometric shear deformation theory Compos Struct 53 2001 153 162
    • (2001) Compos Struct , vol.53 , pp. 153-162
    • Shimpi, R.P.1    Ainapure, A.V.2
  • 24
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • R.L. Hardy Multiquadric equations of topography and other irregular surfaces Geophys Res 176 1971 1905 1915
    • (1971) Geophys Res , vol.176 , pp. 1905-1915
    • Hardy, R.L.1
  • 25
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric-biharmonic method: 20 years of discovery
    • R.L. Hardy Theory and applications of the multiquadric-biharmonic method: 20 years of discovery Comput Math Appl 19 8/9 1990 163 208
    • (1990) Comput Math Appl , vol.19 , Issue.89 , pp. 163-208
    • Hardy, R.L.1
  • 26
    • 0025229330 scopus 로고
    • Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. i: Surface approximations and partial derivative estimates
    • E.J. Kansa Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. i: surface approximations and partial derivative estimates Comput Math Appl 19 8/9 1990 127 145
    • (1990) Comput Math Appl , vol.19 , Issue.89 , pp. 127-145
    • Kansa, E.J.1
  • 27
    • 0025210711 scopus 로고
    • Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. ii: Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • E.J. Kansa Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. ii: solutions to parabolic, hyperbolic and elliptic partial differential equations Comput Math Appl 19 8/9 1990 147 161
    • (1990) Comput Math Appl , vol.19 , Issue.89 , pp. 147-161
    • Kansa, E.J.1
  • 28
    • 0036488118 scopus 로고    scopus 로고
    • A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
    • A.J.M. Ferreira A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates Compos Struct 59 2003 385 392
    • (2003) Compos Struct , vol.59 , pp. 385-392
    • Ferreira, A.J.M.1
  • 29
    • 0043029995 scopus 로고    scopus 로고
    • Thick composite beam analysis using a global meshless approximation based on radial basis functions
    • A.J.M. Ferreira Thick composite beam analysis using a global meshless approximation based on radial basis functions Mech Adv Mater Struct 10 2003 271 284
    • (2003) Mech Adv Mater Struct , vol.10 , pp. 271-284
    • Ferreira, A.J.M.1
  • 30
    • 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
    • A.J.M. Ferreira, C.M.C. Roque, and P.A.L.S. Martins 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 34 2003 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
  • 31
    • 24044511137 scopus 로고    scopus 로고
    • Analysis of composite plates by trigonometric shear deformation theory and multiquadrics
    • In press, Available online 1 July
    • Ferreira AJM, Roque CMC, Jorge RMN. Analysis of composite plates by trigonometric shear deformation theory and multiquadrics. Computers & Structures, In press, Available online 1 July 2005.
    • (2005) Computers & Structures
    • Ajm, F.1    Cmc, R.2    Rmn, J.3
  • 32
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with radial basis functions, Surface fitting and multiresolution methods
    • G.E. Fasshauer Solving partial differential equations by collocation with radial basis functions, Surface fitting and multiresolution methods Proceedings of the third International Conference on curves and surfaces vol. 2 1997 p. 131-8
    • (1997) Proceedings of the Third International Conference on Curves and Surfaces , vol.2
    • Fasshauer, G.E.1
  • 33
    • 0034173976 scopus 로고    scopus 로고
    • Circunvecting the ill-conditioning problem with multiquadric radial basis functions
    • E.J. Kansa, and Y.C. Hon Circunvecting the ill-conditioning problem with multiquadric radial basis functions Comput Math Appl 39 7-8 2000 123 137
    • (2000) Comput Math Appl , vol.39 , Issue.7-8 , pp. 123-137
    • Kansa, E.J.1    Hon, Y.C.2
  • 34
    • 0035311996 scopus 로고    scopus 로고
    • On unsymmetric collocation by radial basis functions
    • Y.C. Hon, and X.Z. Mao On unsymmetric collocation by radial basis functions Appl Math Comput 119 2-3 2001 177 186
    • (2001) Appl Math Comput , vol.119 , Issue.2-3 , pp. 177-186
    • Hon, Y.C.1    Mao, X.Z.2
  • 35
    • 0033442485 scopus 로고    scopus 로고
    • Fast fitting of radial basis functions: Methods based on preconditioned gmres iteration
    • R.K. Beatson Fast fitting of radial basis functions: Methods based on preconditioned gmres iteration Adv Comput Math 11 1999 253 270
    • (1999) Adv Comput Math , vol.11 , pp. 253-270
    • Beatson, R.K.1
  • 37
    • 0037981478 scopus 로고    scopus 로고
    • Vibration analysis of symmetrically laminated plates based on fsdt using the moving least squares differential quadrature method
    • 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 Methods Appl Mech Eng 192 2003 2203 2222
    • (2003) Comput Methods Appl Mech Eng , vol.192 , pp. 2203-2222
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 38
    • 0028762911 scopus 로고
    • Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory
    • G. Akhras, M.S. Cheung, and W. Li Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory Comput Struct 52 3 1994 471 477
    • (1994) Comput Struct , vol.52 , Issue.3 , pp. 471-477
    • Akhras, G.1    Cheung, M.S.2    Li, W.3
  • 39
    • 0027841663 scopus 로고
    • Static and vibrations analysis of anisotropic laminated plates by finite strip method
    • G. Akhras, M.S. Cheung, and W. Li Static and vibrations analysis of anisotropic laminated plates by finite strip method Int J Solids Struct 30 22 1993 3129 3137
    • (1993) Int J Solids Struct , vol.30 , Issue.22 , pp. 3129-3137
    • Akhras, G.1    Cheung, M.S.2    Li, W.3
  • 40
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • J.N. Reddy A simple higher-order theory for laminated composite plates J Appl Mech 51 1984 745 752
    • (1984) J Appl Mech , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 41
    • 0014728757 scopus 로고
    • Exact solutions for rectangular bidirectional composites and sandwich plates
    • N.J. Pagano Exact solutions for rectangular bidirectional composites and sandwich plates J Compos Mater 4 1970 20 34
    • (1970) J Compos Mater , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 42
    • 0000691622 scopus 로고
    • A refined analysis of composite laminates
    • S. Srinivas A refined analysis of composite laminates J Sound Vibr 30 1973 495 507
    • (1973) J Sound Vibr , vol.30 , pp. 495-507
    • Srinivas, S.1
  • 43
    • 0000674330 scopus 로고
    • Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluations
    • B.N. Pandya, and T. Kant Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluations Int J Solids Struct 24 1988 419 451
    • (1988) Int J Solids Struct , vol.24 , pp. 419-451
    • Pandya, B.N.1    Kant, T.2
  • 44
    • 0033738993 scopus 로고    scopus 로고
    • Buckling behaviour of composite shells
    • A.J.M. Ferreira, and J.T. Barbosa Buckling behaviour of composite shells Compos Struct 50 2000 93 98
    • (2000) Compos Struct , vol.50 , pp. 93-98
    • Ferreira, A.J.M.1    Barbosa, J.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.