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Volumn 196, Issue 4-6, 2007, Pages 979-987

Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions

Author keywords

Higher order shear and normal deformable plate theory; MLPG method; Radial basis function; Stress analysis; Thick plate

Indexed keywords

BOUNDARY CONDITIONS; DEFORMATION; ELASTICITY; GALERKIN METHODS; STRESS ANALYSIS; STRESSES;

EID: 33750466917     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.08.002     Document Type: Article
Times cited : (44)

References (29)
  • 1
    • 0000228565 scopus 로고    scopus 로고
    • A higher-order theory of plate deformation
    • Lo K.H., Christensen R.M., and Wu E.M. A higher-order theory of plate deformation. J. Appl. Mech. 44 (1997) 663-676
    • (1997) J. Appl. Mech. , vol.44 , pp. 663-676
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 2
    • 0022413465 scopus 로고
    • Analysis of laminated composite plates using a higher-order shear deformation theory
    • Phan N.D., and Reddy J.N. Analysis of laminated composite plates using a higher-order shear deformation theory. Int. J. Numer. Methods Engrg. 21 (1985) 2201-2219
    • (1985) Int. J. Numer. Methods Engrg. , vol.21 , pp. 2201-2219
    • Phan, N.D.1    Reddy, J.N.2
  • 3
    • 0036164688 scopus 로고    scopus 로고
    • Higher-order piezoelectric plate theory derived from a three-dimensional variational principle
    • Batra R.C., and Vidoli S. Higher-order piezoelectric plate theory derived from a three-dimensional variational principle. AlAA J. 40 (2002) 91-104
    • (2002) AlAA J. , vol.40 , pp. 91-104
    • Batra, R.C.1    Vidoli, S.2
  • 4
    • 0037227497 scopus 로고    scopus 로고
    • A higher order shear deformable finite element for homogeneous plates
    • Kocak S., and Hassis H. A higher order shear deformable finite element for homogeneous plates. Engrg. Struct. 25 (2003) 131-139
    • (2003) Engrg. Struct. , vol.25 , pp. 131-139
    • Kocak, S.1    Hassis, H.2
  • 5
    • 0037058139 scopus 로고    scopus 로고
    • Plane wave solutions and modal analysis in higher order shear and normal deformable plate theories
    • Batra R.C., Vidoli S., and Vestroni F. Plane wave solutions and modal analysis in higher order shear and normal deformable plate theories. J. Sound Vib. 257 (2004) 63-88
    • (2004) J. Sound Vib. , vol.257 , pp. 63-88
    • Batra, R.C.1    Vidoli, S.2    Vestroni, F.3
  • 6
    • 0242317235 scopus 로고    scopus 로고
    • Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods
    • Qian L.F., Batra R.C., and Chen L.M. Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. Comput. Model. Engrg. Sci. 4 (2003) 161-176
    • (2003) Comput. Model. Engrg. Sci. , vol.4 , pp. 161-176
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 7
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method
    • Qian L.F., Batra R.C., and Chen L.M. Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method. Composites: Part B 35 (2004) 685-697
    • (2004) Composites: Part B , vol.35 , pp. 685-697
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 12
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri S.N., and Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22 (1998) 117-127
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 13
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
    • Atluri S.N., Kim H.G., and Cho J.Y. A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Comput. Mech. 24 (1999) 348-372
    • (1999) Comput. Mech. , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 14
    • 0033872785 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
    • Atluri S.N., and Zhu T. The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Comput. Mech. 25 (2000) 169-179
    • (2000) Comput. Mech. , vol.25 , pp. 169-179
    • Atluri, S.N.1    Zhu, T.2
  • 16
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • Hardy R.L. Multiquadric equations of topography and other irregular surfaces. J. Geophys. Res. 76 (1971) 1905-1915
    • (1971) J. Geophys. Res. , vol.76 , pp. 1905-1915
    • Hardy, R.L.1
  • 17
    • 0025229330 scopus 로고
    • Multiquadrics - a scattered data approximation scheme with application to computational fluid-dynamics - I and II
    • Kansa E.J. Multiquadrics - a scattered data approximation scheme with application to computational fluid-dynamics - I and II. Comput. Math. Appl. 19 (1990) 127-161
    • (1990) Comput. Math. Appl. , vol.19 , pp. 127-161
    • Kansa, E.J.1
  • 18
    • 0030181559 scopus 로고    scopus 로고
    • Improved multiquadric approximation for partial differential equations
    • Golberg M.A., Chen C.S., and Karur S.R. Improved multiquadric approximation for partial differential equations. Engrg. Anal. Bound. Elem. 18 (1996) 9-17
    • (1996) Engrg. Anal. Bound. Elem. , vol.18 , pp. 9-17
    • Golberg, M.A.1    Chen, C.S.2    Karur, S.R.3
  • 19
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with radial basis functions
    • Le M'ehaut'e A., Rabut C., and Schumaker L.L. (Eds), Vanderbilt University Press, Nashville, TN
    • Fasshauer G.E. Solving partial differential equations by collocation with radial basis functions. In: Le M'ehaut'e A., Rabut C., and Schumaker L.L. (Eds). Surface Fitting and Mutliresolution Methods (1997), Vanderbilt University Press, Nashville, TN 131-138
    • (1997) Surface Fitting and Mutliresolution Methods , pp. 131-138
    • Fasshauer, G.E.1
  • 20
    • 0033465031 scopus 로고    scopus 로고
    • Meshless Galerkin method using radial basis functions
    • Wendland H. Meshless Galerkin method using radial basis functions. Math. Comput. 68 (1999) 1521-1531
    • (1999) Math. Comput. , vol.68 , pp. 1521-1531
    • Wendland, H.1
  • 21
    • 0035817769 scopus 로고    scopus 로고
    • A local radial point interpolation method (LRPIM) for free vibration analysis of 2-D solids
    • Liu G.R., and Gu Y.T. A local radial point interpolation method (LRPIM) for free vibration analysis of 2-D solids. J. Sound Vib. 246 (2001) 29-46
    • (2001) J. Sound Vib. , vol.246 , pp. 29-46
    • Liu, G.R.1    Gu, Y.T.2
  • 22
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-D meshless methods
    • Wang J.G., and Liu G.R. On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Comput. Methods Appl. Mech. Engrg. 191 (2002) 2611-2630
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 23
    • 0141742223 scopus 로고    scopus 로고
    • A local Heaviside weighted meshless method for two-dimensional solids using radial basis functions
    • Xiao J.R., and McCarthy M.A. A local Heaviside weighted meshless method for two-dimensional solids using radial basis functions. Comput. Mech. 31 (2003) 301-315
    • (2003) Comput. Mech. , vol.31 , pp. 301-315
    • Xiao, J.R.1    McCarthy, M.A.2
  • 24
    • 0033434521 scopus 로고    scopus 로고
    • An algorithm for selecting a good value for the parameter c in radial basis function interpolation
    • Rippa S. An algorithm for selecting a good value for the parameter c in radial basis function interpolation. Adv. Comput. Math. 11 (1999) 193-210
    • (1999) Adv. Comput. Math. , vol.11 , pp. 193-210
    • Rippa, S.1
  • 25
    • 1542712617 scopus 로고    scopus 로고
    • Parameter optimization in multiquadric response surface approximations
    • Wang B.P. Parameter optimization in multiquadric response surface approximations. Struct. Multidisci. Optim. 26 (2004) 219-223
    • (2004) Struct. Multidisci. Optim. , vol.26 , pp. 219-223
    • Wang, B.P.1
  • 26
    • 13844297023 scopus 로고    scopus 로고
    • Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions
    • Xiao J.R., Gama B.A., Gillespie Jr. J.W., and Kansa E.J. Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions. Engrg. Anal. Boundary Elem. 29 (2005) 95-106
    • (2005) Engrg. Anal. Boundary Elem. , vol.29 , pp. 95-106
    • Xiao, J.R.1    Gama, B.A.2    Gillespie Jr., J.W.3    Kansa, E.J.4
  • 27
    • 0015602480 scopus 로고
    • Flexure of thick rectangular plates
    • Srinivas S., and Rao A.K. Flexure of thick rectangular plates. J. Appl. Mech. 39 (1973) 298-299
    • (1973) J. Appl. Mech. , vol.39 , pp. 298-299
    • Srinivas, S.1    Rao, A.K.2
  • 28
    • 33750453938 scopus 로고    scopus 로고
    • T. Kant, E. Hinton, Numerical analysis of rectangular Mindlin plates by segmentation method, Civil Engineering Department, Report: C/R365/80, University of Wales, Swansea, 1980.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.