메뉴 건너뛰기




Volumn 59, Issue 3, 2003, Pages 385-392

A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; INTERPOLATION; PARTIAL DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); LAMINATED COMPOSITES; RADIAL BASIS FUNCTION NETWORKS;

EID: 0036488118     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(02)00239-8     Document Type: Article
Times cited : (253)

References (32)
  • 2
    • 0033442485 scopus 로고    scopus 로고
    • Fast fitting of radial basis functions: Methods based on preconditioned gmres iteration
    • Beatson RK. Fast fitting of radial basis functions: methods based on preconditioned gmres iteration. Adv Comput Math 1999;11:253-70.
    • (1999) Adv Comput Math , vol.11 , pp. 253-270
    • Beatson, R.K.1
  • 3
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with radial basis functions
    • Surface fitting and multiresolution methods
    • Fasshauer GE. Solving partial differential equations by collocation with radial basis functions. In: Surface fitting and multiresolution methods, vol. 2 Proceedings of the 3rd International Conference on curves and surfaces. 1997, p. 131-138.
    • (1997) Proceedings of the 3rd International Conference on Curves and Surfaces , vol.2 , pp. 131-138
    • Fasshauer, G.E.1
  • 5
    • 0033738993 scopus 로고    scopus 로고
    • Buckling behaviour of composite shells
    • Ferreira AJM, Barbosa JT. Buckling behaviour of composite shells. Compos Struct 2000;50:93-8.
    • (2000) Compos Struct , vol.50 , pp. 93-98
    • Ferreira, A.J.M.1    Barbosa, J.T.2
  • 7
    • 0343774109 scopus 로고    scopus 로고
    • Analysis of reinforced concrete with external composite strengthening
    • Ferreira AJM, Marques AT, Sa JC. Analysis of reinforced concrete with external composite strengthening. Composites: part B 2000;31:527-34.
    • (2000) Composites: Part B , vol.31 , pp. 527-534
    • Ferreira, A.J.M.1    Marques, A.T.2    Sa, J.C.3
  • 8
    • 84968515237 scopus 로고
    • Scattered data interpolation: Test of some methods
    • Franke R. Scattered data interpolation: test of some methods. Math Comput 1982;38:181-200.
    • (1982) Math Comput , vol.38 , pp. 181-200
    • Franke, R.1
  • 9
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • Hardy RL. Multiquadric equations of topography and other irregular surfaces. Geophys Res 1971;176:1905-15.
    • (1971) Geophys Res , vol.176 , pp. 1905-1915
    • Hardy, R.L.1
  • 10
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric-biharmonic method: 20 years of discovery
    • Hardy RL. Theory and applications of the multiquadric-biharmonic method: 20 years of discovery. Comput Math Applic 1990;19(8/9):163-208.
    • (1990) Comput Math Applic , vol.19 , Issue.8-9 , pp. 163-208
    • Hardy, R.L.1
  • 11
    • 0033133932 scopus 로고    scopus 로고
    • A multiquadric solution for the shallow water equation
    • Hon YC, Cheung KF, Mao XZ, Kansa EJ. A multiquadric solution for the shallow water equation. ASCE J Hydraul Eng 1999;125(5):524-33.
    • (1999) ASCE J Hydraul Eng , vol.125 , Issue.5 , pp. 524-533
    • Hon, Y.C.1    Cheung, K.F.2    Mao, X.Z.3    Kansa, E.J.4
  • 12
    • 0001023857 scopus 로고    scopus 로고
    • Multiquadric method for the numerical solution of byphasic mixture model
    • Hon YC, Lu MW, Xue WM, Zhu YM. Multiquadric method for the numerical solution of byphasic mixture model. Appl Math Comput 1997;88:153-75.
    • (1997) Appl Math Comput , vol.88 , pp. 153-175
    • Hon, Y.C.1    Lu, M.W.2    Xue, W.M.3    Zhu, Y.M.4
  • 13
    • 0035311996 scopus 로고    scopus 로고
    • On unsymmetric collocation by radial basis functions
    • Hon YC, Mao XZ. On unsymmetric collocation by radial basis functions. Appl Math Comput 2001;119(2-3):177-86.
    • (2001) Appl Math Comput , vol.119 , Issue.2-3 , pp. 177-186
    • Hon, Y.C.1    Mao, X.Z.2
  • 15
    • 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):127-45.
    • (1990) Comput Math Appl , vol.19 , Issue.8-9 , pp. 127-145
    • Kansa, E.J.1
  • 16
    • 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 EJ. 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 1990;19(8/9):147-61.
    • (1990) Comput Math Appl , vol.19 , Issue.8-9 , pp. 147-161
    • Kansa, E.J.1
  • 17
    • 0034173976 scopus 로고    scopus 로고
    • Circumvecting the ill-conditioning problem with multi-quadric radial basis functions
    • Kansa EJ, Hon YC. Circumvecting the ill-conditioning problem with multi-quadric radial basis functions. Comput Math Appl 2000;39(7-8):123-37.
    • (2000) Comput Math Appl , vol.39 , Issue.7-8 , pp. 123-137
    • Kansa, E.J.1    Hon, Y.C.2
  • 18
    • 84984553958 scopus 로고
    • A high-order theory of plate deformation. Part ii: Laminated plates
    • Lo KH, Christensen RM, Wu EM. A high-order theory of plate deformation. Part ii: Laminated plates. J Appl Mech 1978;44:669-76.
    • (1978) J Appl Mech , vol.44 , pp. 669-676
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 19
    • 0000172493 scopus 로고
    • Miscellaneous error bounds for multiquadrics and related interpolants
    • Madych WR. Miscellaneous error bounds for multiquadrics and related interpolants. Comput Math Appl 1992;24(12):121-38.
    • (1992) Comput Math Appl , vol.24 , Issue.12 , pp. 121-138
    • Madych, W.R.1
  • 20
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions ii
    • Madych WR, Nelson SA. Multivariate interpolation and conditionally positive definite functions ii. Math Comput 1990;54:211-30.
    • (1990) Math Comput , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 21
    • 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;18:31-8.
    • (1951) J Appl Mech , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 22
    • 0029359809 scopus 로고
    • A new look at the shear correction factors and warping functions of anisotropic laminates
    • Pai PF. A new look at the shear correction factors and warping functions of anisotropic laminates. Int J Solids Struct 1995;32:2295-313.
    • (1995) Int J Solids Struct , vol.32 , pp. 2295-2313
    • Pai, P.F.1
  • 23
    • 0000674330 scopus 로고
    • Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluations
    • Pandya BN, Kant T. Higher-order shear deformable theories for flexure of sandwich plates-finite element evaluations. 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
  • 25
    • 85024507520 scopus 로고
    • Bending and stretching of certain types of heterogeneous aelotropic elastic plates
    • Reissner E, Stavsky Y. Bending and stretching of certain types of heterogeneous aelotropic elastic plates. J Appl Mech 1961;28:402-12.
    • (1961) J Appl Mech , vol.28 , pp. 402-412
    • Reissner, E.1    Stavsky, Y.2
  • 26
    • 0000691622 scopus 로고
    • A refined analysis of composite laminates
    • Srinivas S. A refined analysis of composite laminates. J Sound Vib 1973:30:495-507.
    • (1973) J Sound Vib , vol.30 , pp. 495-507
    • Srinivas, S.1
  • 27
    • 0015603721 scopus 로고
    • Shear correction factors for orthotropic laminates under static load
    • Whitney JM. Shear correction factors for orthotropic laminates under static load. J Appl Mech 1973;40:302-4.
    • (1973) J Appl Mech , vol.40 , pp. 302-304
    • Whitney, J.M.1
  • 28
    • 0014886850 scopus 로고
    • Shear deformation in heterogeneous anisotropic plates
    • Whitney JM, Pagano NJ. Shear deformation in heterogeneous anisotropic plates. ASME J Appl Mech 1970;37:1031-6.
    • (1970) ASME J Appl Mech , vol.37 , pp. 1031-1036
    • Whitney, J.M.1    Pagano, N.J.2
  • 29
    • 14544290310 scopus 로고
    • Local error estimates for radial basis function interpolation of scaterred data
    • Wu Z, Shaback R. Local error estimates for radial basis function interpolation of scaterred data. IMA J Num Anal 1993;13:13-27.
    • (1993) IMA J Num Anal , vol.13 , pp. 13-27
    • Wu, Z.1    Shaback, R.2
  • 30
    • 0001575540 scopus 로고
    • Elastic wave propagation in heterogeneous plates
    • Yang PC, Norris CH, Stavsky Y. Elastic wave propagation in heterogeneous plates. Int J Solids Struct 1966;2:665-84.
    • (1966) Int J Solids Struct , vol.2 , pp. 665-684
    • Yang, P.C.1    Ch, N.2    Stavsky, Y.3
  • 31
    • 0030053441 scopus 로고    scopus 로고
    • A refined first-order shear-deformation theory and its justification by plane-strain bending problem of laminated plates
    • Qi Y, Knight Jr. NF. A refined first-order shear-deformation theory and its justification by plane-strain bending problem of laminated plates. Int J Solids Struct 1996;33:49-64.
    • (1996) Int J Solids Struct , vol.33 , pp. 49-64
    • Qi, Y.1    Knight Jr., N.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.