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Volumn 2, Issue 3, 2010, Pages 653-680

Analysis of Mindlin-Reissner plates using cell-based smoothed radial point interpolation method

Author keywords

Meshfree; plate; radial point interpolation method (RPIM); strain smoothing operation

Indexed keywords

CELL-BASED; COMPARISON STUDY; CONTINUITY REQUIREMENTS; CURVATURE SMOOTHING; DISTRIBUTED NODES; FIRST-ORDER SHEAR DEFORMATION; FREE-VIBRATION ANALYSIS; FUNCTION PROPERTIES; GALERKIN; GOVERNING DIFFERENTIAL EQUATIONS; MESHFREE; MINDLIN-REISSNER PLATE; NUMERICAL EXAMPLE; PLATE; POLYNOMIAL BASIS; RADIAL BASIS FUNCTIONS; RADIAL POINT INTERPOLATION METHOD; RATE OF CONVERGENCE; SHAPE FUNCTIONS; SHEAR-LOCKING; SMOOTHING OPERATION; SUBDOMAIN; THICK PLATE;

EID: 83455223425     PISSN: 17588251     EISSN: 1758826X     Source Type: Journal    
DOI: 10.1142/S1758825110000706     Document Type: Article
Times cited : (29)

References (27)
  • 3
    • 0035120922 scopus 로고    scopus 로고
    • Stabilized conforming nodal integration for Galerkin mesh-free methods
    • DOI 10.1002/1097-0207(20010120)50: 2<435::AID-NME32>3.0.CO;2-A
    • Chen, J. S., Wu, C. T., Yoon, S. and You, Y. [2000] "A stabilized conforming nodal integration for Galerkin meshfree methods," Int. J. Numerical Methods Eng. 50, 435-466. (Pubitemid 32133526)
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , Issue.2 , pp. 435-466
    • Chen, J.-S.1    Wu, C.-T.2    Yoon, S.3    You, Y.4
  • 4
    • 70350755592 scopus 로고    scopus 로고
    • A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids
    • Cui, X. Y., Liu, G. R. and Li, G. Y. [2010] "A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids," Eng. Anal. Boundary Elements 34, 144-157.
    • (2010) Eng. Anal. Boundary Elements , vol.34 , pp. 144-157
    • Cui, X.Y.1    Liu, G.R.2    Li, G.Y.3
  • 6
    • 0033116371 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg M. A., Chen C. S. and Bowman H. [1999] "Some recent results and proposals for the use of radial basis functions in the BEM," Eng. Anal. Boundary Elements 23, 285-296.
    • (1999) Eng. Anal. Boundary Elements , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 8
    • 0012255432 scopus 로고    scopus 로고
    • A Meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates
    • Gu, Y. T. and Liu, G. R. [2001] "A meshless local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates," CMES: Computer Model. Eng. Sci. 2, 463-476. (Pubitemid 33620143)
    • (2001) CMES - Computer Modeling in Engineering and Sciences , vol.2 , Issue.4 , pp. 463-476
    • Gu, Y.T.1    Liu, G.R.2
  • 9
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric-biharmonic method. 20 Years of discovery 1968-1988
    • Hardy, R. L. [1990] "Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988), "Computers Math. Appl. 19, 163-208. (Pubitemid 20668366)
    • (1990) Computers & mathematics with applications , vol.19 , Issue.8-9 , pp. 163-208
    • Hardy, R.L.1
  • 11
    • 0029484915 scopus 로고
    • Analysis of thin plates by the element-free Galerkin method
    • Krysl, P. and Belytschko, T. [1995] "Analysis of thin plates by the element-free Galerkin method," Comput. Mech. 17, 26-35.
    • (1995) Comput. Mech. , vol.17 , pp. 26-35
    • Krysl, P.1    Belytschko, T.2
  • 12
    • 47149092854 scopus 로고    scopus 로고
    • A generalized gradient smoothing technique and smoothed bilinear form for Galerkin formulation of a wide class of computational methods
    • Liu, G. R. [2008] "A generalized gradient smoothing technique and smoothed bilinear form for Galerkin formulation of a wide class of computational methods," Int. J. Comput. Methods 5, 199-236.
    • (2008) Int. J. Comput. Methods , vol.5 , pp. 199-236
    • Liu, G.R.1
  • 14
    • 0035848845 scopus 로고    scopus 로고
    • A mesh-free method for static and free vibration analyses of thin plates of complicated shape
    • DOI 10.1006/jsvi.2000.3330
    • Liu, G. R. and Chen, X. L. [2001] "A meshfree Galerkin method for static and free vibration analyses of thin plates of complicated shape," J. Sound Vibration 241, 839-855. (Pubitemid 32370158)
    • (2001) Journal of Sound and Vibration , vol.241 , Issue.5 , pp. 839-855
    • Liu, G.R.1    Chen, X.L.2
  • 15
    • 37449034879 scopus 로고    scopus 로고
    • Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method
    • Liu, G. R., Zhao, X., Dai, K. Y., Zhong, Z. H., Li, G. Y. and Han, X. [2008] "Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method," Composites Sci. Technol. 68, 354-366.
    • (2008) Composites Sci. Technol. , vol.68 , pp. 354-366
    • Liu, G.R.1    Zhao, X.2    Dai, K.Y.3    Zhong, Z.H.4    Li, G.Y.5    Han, X.6
  • 16
    • 32044463794 scopus 로고    scopus 로고
    • Conforming radial point interpolation method for spatial shell structures on the stress-resultant shell theory
    • DOI 10.1007/s00419-005-0405-6
    • Liu, L., Chua, L. P. and Ghista, D. N. [2006] "Conforming radial point interpolation method for spatial shell structures on the stress-resultant shell theory," Arch. Appl. Mech. 75, 248-267. (Pubitemid 43201219)
    • (2006) Archive of Applied Mechanics , vol.75 , Issue.4-5 , pp. 248-267
    • Liu, L.1    Chua, L.P.2    Ghista, D.N.3
  • 17
    • 33845670431 scopus 로고    scopus 로고
    • Applications of point interpolation method for spatial general shells structures
    • DOI 10.1016/j.cma.2006.08.017, PII S0045782506002908
    • Liu, L., Chua, L. P. and Ghista, D. N. [2007] "Applications of point interpolation method for spatial general shells structures," Computer Methods Appl. Mech. Eng. 196, 1633-1647. (Pubitemid 44942898)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.9-12 , pp. 1633-1647
    • Liu, L.1    Chua, L.P.2    Ghista, D.N.3
  • 18
    • 0043205008 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate
    • Long, S. R. and Atluri, S. N. [2002] "A meshless local Petrov-Galerkin (MLPG) method for solving the bending problem of a thin plate," CMES: Computer Model. Eng. Sci. 3, 53-63. (Pubitemid 135695146)
    • (2002) CMES - Computer Modeling in Engineering and Sciences , vol.3 , Issue.1 , pp. 53-63
    • Long, S.1    Atluri, S.N.2
  • 20
    • 8344220613 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates
    • Soric, J., Li, Q., Jarak, T. and Atluri, S. N. [2004] "Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates," CMES: Computer Model. Eng. Sci. 6, 349-357.
    • (2004) CMES: Computer Model. Eng. Sci. , vol.6 , pp. 349-357
    • Soric, J.1    Li, Q.2    Jarak, T.3    Atluri, S.N.4
  • 22
    • 1842471029 scopus 로고    scopus 로고
    • Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation
    • DOI 10.1016/j.cma.2003.12.006, PII S0045782504000106
    • Wang, D. and Chen, J. S. [2004] "Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissener plate formulation," Computer Methods Appl. Mech. Eng. 193, 1065-1083. (Pubitemid 38439206)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.12-14 , pp. 1065-1083
    • Wang, D.1    Chen, J.-S.2
  • 23
    • 33749439599 scopus 로고    scopus 로고
    • A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
    • DOI 10.1002/nme.1701
    • Wang, D. and Chen, J. S. [2006] "A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates," Int. J. Numerical Methods Eng. 68, 151-172. (Pubitemid 44509355)
    • (2006) International Journal for Numerical Methods in Engineering , vol.68 , Issue.2 , pp. 151-172
    • Chen, J.-S.1    Wang, D.2
  • 24
    • 0037143775 scopus 로고    scopus 로고
    • A point interpolation meshless method based on radial basis functions
    • DOI 10.1002/nme.489
    • Wang, J. G. and Liu, G. R. [2002] "A point interpolation meshless method based on radial basis functions," Int. J. Numerical Methods Eng. 54, 1623-1648. (Pubitemid 34842350)
    • (2002) International Journal for Numerical Methods in Engineering , vol.54 , Issue.11 , pp. 1623-1648
    • Wang, J.G.1    Liu, G.R.2
  • 25
    • 43249108378 scopus 로고    scopus 로고
    • Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method
    • Zhao, X., Liu, G. R., Dai, K. Y., Zhong, Z. H., Li, G. Y. and Han, X. [2008] "Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method," Comput. Mech. 42, 133-144.
    • (2008) Comput. Mech. , vol.42 , pp. 133-144
    • Zhao, X.1    Liu, G.R.2    Dai, K.Y.3    Zhong, Z.H.4    Li, G.Y.5    Han, X.6
  • 26
    • 55849124371 scopus 로고    scopus 로고
    • A linearly conforming radial point interpolation method (LC-RPIM) for shells
    • Zhao, X., Liu, G. R., Dai, K. Y., Zhong, Z. H., Li, G. Y. and Han, X. [2009] "A linearly conforming radial point interpolation method (LC-RPIM) for shells," Comput. Mech. 43, 403-413.
    • (2009) Comput. Mech. , vol.43 , pp. 403-413
    • Zhao, X.1    Liu, G.R.2    Dai, K.Y.3    Zhong, Z.H.4    Li, G.Y.5    Han, X.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.