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Volumn 84, Issue 19-20, 2006, Pages 1288-1299

Modelling cross-ply laminated elastic shells by a higher-order theory and multiquadrics

Author keywords

Composite shells; Multiquadrics; Shear deformation theories

Indexed keywords

DEFORMATION; FUNCTIONS; SHEAR STRESS; SHELLS (STRUCTURES); SURFACES;

EID: 33744532240     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2006.01.021     Document Type: Article
Times cited : (45)

References (37)
  • 1
    • 0000107250 scopus 로고
    • A survey of recent progress in the theory of elastic shells
    • Naghdi P.M. A survey of recent progress in the theory of elastic shells. Appl Mech Rev 9 (1956) 365-368
    • (1956) Appl Mech Rev , vol.9 , pp. 365-368
    • Naghdi, P.M.1
  • 2
    • 0040324135 scopus 로고
    • Dynamics of composite and sandwich panels - parts I and II
    • 15-24
    • Bert C.W. Dynamics of composite and sandwich panels - parts I and II. Shock Vib Dig 8 (1976) 37-48 15-24
    • (1976) Shock Vib Dig , vol.8 , pp. 37-48
    • Bert, C.W.1
  • 3
    • 84910819999 scopus 로고
    • Analysis and performance of composites
    • 15-24
    • Bert C.W. Analysis and performance of composites. Anal Shells 8 (1980) 37-48 15-24
    • (1980) Anal Shells , vol.8 , pp. 37-48
    • Bert, C.W.1
  • 4
    • 85171989317 scopus 로고
    • Stress-strain relations in the theory of thin elastic shells
    • Reissner E. Stress-strain relations in the theory of thin elastic shells. J Math Phys 31 (1952) 109-119
    • (1952) J Math Phys , vol.31 , pp. 109-119
    • Reissner, E.1
  • 5
    • 0015078435 scopus 로고
    • Laminated transversely isotropic cylindrical shells
    • Zukas J.A., and Vinson J.R. Laminated transversely isotropic cylindrical shells. J Appl Mech 38 (1971) 400-407
    • (1971) J Appl Mech , vol.38 , pp. 400-407
    • Zukas, J.A.1    Vinson, J.R.2
  • 6
    • 0000726814 scopus 로고
    • On the theory of laminated anisotropic shells and plates
    • Dong S.B., Pister K.S., and Taylor R.L. On the theory of laminated anisotropic shells and plates. J Aerospace Sci 29 (1962)
    • (1962) J Aerospace Sci , vol.29
    • Dong, S.B.1    Pister, K.S.2    Taylor, R.L.3
  • 7
    • 0015490689 scopus 로고
    • On a laminated orthotropic shell theory including transverse shear deformation
    • Dong S.B., and Tso F.K.W. On a laminated orthotropic shell theory including transverse shear deformation. J Appl Mech 39 (1972) 1091-1096
    • (1972) J Appl Mech , vol.39 , pp. 1091-1096
    • Dong, S.B.1    Tso, F.K.W.2
  • 8
    • 0001806767 scopus 로고
    • A higher order theory for extensional motion of laminated anisotropic shells and plates
    • Whitney J.M., and Sun C.T. A higher order theory for extensional motion of laminated anisotropic shells and plates. J Sound Vib 30 (1973)
    • (1973) J Sound Vib , vol.30
    • Whitney, J.M.1    Sun, C.T.2
  • 9
    • 0016069077 scopus 로고
    • A refined theory for laminated anisotropic cylindrical shells
    • Whitney J.M., and Sun C.T. A refined theory for laminated anisotropic cylindrical shells. J Appl Mech 41 (1974)
    • (1974) J Appl Mech , vol.41
    • Whitney, J.M.1    Sun, C.T.2
  • 10
    • 0021852258 scopus 로고
    • A higher-order shear deformation theory of laminated elastic shells
    • Reddy J.N., and Liu C.F. A higher-order shear deformation theory of laminated elastic shells. Int J Eng Sci 23 (1985) 319-330
    • (1985) Int J Eng Sci , vol.23 , pp. 319-330
    • Reddy, J.N.1    Liu, C.F.2
  • 11
    • 0001222132 scopus 로고
    • On the equations of bending of plates
    • Vlasov B.F. On the equations of bending of plates. Dokl Akad Nauk Arm 3 (1957) 955-979
    • (1957) Dokl Akad Nauk Arm , vol.3 , pp. 955-979
    • Vlasov, B.F.1
  • 12
    • 0020155266 scopus 로고
    • Bending of laminated anisotropic shells by a shear deformable finite element
    • Reddy J.N. Bending of laminated anisotropic shells by a shear deformable finite element. Fibre Sci Technol 17 (1982) 9-24
    • (1982) Fibre Sci Technol , vol.17 , pp. 9-24
    • Reddy, J.N.1
  • 14
    • 0015636461 scopus 로고
    • A refined laminate plate theory
    • Mau S.T. 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
  • 15
    • 0015669924 scopus 로고
    • Transverse shear in laminated plate theories
    • Chou P.C., and Corleone J. 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
  • 16
    • 0023412966 scopus 로고
    • An improved shear-deformation theory for moderately thick multilayered shells and plates
    • Di Sciuva M. 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
  • 17
    • 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 53 (1986) 661-666
    • (1986) J Appl Mech , vol.53 , pp. 661-666
    • Murakami, H.1
  • 18
    • 0022900207 scopus 로고
    • A new theory of laminated plate
    • Ren J.G. 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
  • 19
    • 0030168293 scopus 로고    scopus 로고
    • 0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stress continuity
    • 0 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
    • Carrera E., and Kroplin B. 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
    • Carrera E. Evaluation of layer-wise mixed theories for laminated plate analysis. AIAA J 36 (1998) 830-839
    • (1998) AIAA J , vol.36 , pp. 830-839
    • Carrera, E.1
  • 22
    • 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 56 (2003) 287-308
    • (2003) Appl Mech Rev , vol.56 , pp. 287-308
    • Carrera, E.1
  • 23
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • Hardy R.L. 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
  • 24
    • 0025229330 scopus 로고
    • Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics. I: Surface approximations and partial derivative estimates
    • Kansa E.J. 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.8-9 , pp. 127-145
    • Kansa, E.J.1
  • 25
    • 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
    • Kansa E.J. 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.8-9 , pp. 147-161
    • Kansa, E.J.1
  • 26
    • 33744532865 scopus 로고    scopus 로고
    • Fasshauer GE. Solving partial differential equations by collocation with radial basis functions. Surface fitting and multiresolution methods. In: Proceedings of the 3rd international conference on curves and surfaces, vol. 2, 1997. p. 131-8.
  • 27
    • 0001307703 scopus 로고
    • Domain decomposition and local refinement for multiquadric approximations. I: Second-order equations in one-dimension
    • Dubal M.R., Oliveira S.R., and Matzner R.A. Domain decomposition and local refinement for multiquadric approximations. I: Second-order equations in one-dimension. J Appl Sci Comput 1 (1994) 146-171
    • (1994) J Appl Sci Comput , vol.1 , pp. 146-171
    • Dubal, M.R.1    Oliveira, S.R.2    Matzner, R.A.3
  • 28
    • 0034173976 scopus 로고    scopus 로고
    • Circumvecting the ill-conditioning problem with multiquadric radial basis functions
    • Kansa E.J., and Hon Y.C. Circumvecting 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
  • 29
    • 0031488175 scopus 로고    scopus 로고
    • Fast evaluation of radial basis functions: methods for 2-dimensional polyharmonic splines
    • Beatson R.K., and Light W.A. Fast evaluation of radial basis functions: methods for 2-dimensional polyharmonic splines. IMA J Numer Anal 17 (1997) 343-372
    • (1997) IMA J Numer Anal , vol.17 , pp. 343-372
    • Beatson, R.K.1    Light, W.A.2
  • 30
    • 0036488118 scopus 로고    scopus 로고
    • A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
    • Ferreira A.J.M. 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
  • 31
    • 0043029995 scopus 로고    scopus 로고
    • Thick composite beam analysis using a global meshless approximation based on radial basis functions
    • Ferreira A.J.M. 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
  • 32
    • 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 A.J.M., Roque C.M.C., and Martins P.A.L.S. Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method. Composites: Part B 34 (2003) 627-636
    • (2003) Composites: Part B , vol.34 , pp. 627-636
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Martins, P.A.L.S.3
  • 33
    • 0028762911 scopus 로고
    • Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory
    • Akhras G., Cheung M.S., and Li W. 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
  • 34
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • Reddy J.N. 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
  • 35
    • 0027841663 scopus 로고
    • Static and vibrations analysis of anisotropic laminated plates by finite strip method
    • Akhras G., Cheung M.S., and Li W. 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
  • 36
    • 23944521602 scopus 로고    scopus 로고
    • Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization
    • Ferreira A.J.M. Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization. Mech Adv Mater Struct 12 2 (2005) 99-112
    • (2005) Mech Adv Mater Struct , vol.12 , Issue.2 , pp. 99-112
    • Ferreira, A.J.M.1
  • 37
    • 0014728757 scopus 로고
    • Exact solutions for rectangular bidirectional composites and sandwich plates
    • Pagano N.J. 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


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