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Volumn 68, Issue 2, 2008, Pages 354-366

Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method

Author keywords

A. Composite plates; C. Mesh free; C. Nodal integration; C. Point interpolation; C. Radial basis function

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTERPOLATION; LAMINATED COMPOSITES; POLYNOMIALS; RADIAL BASIS FUNCTION NETWORKS; SHEAR DEFORMATION; STRAIN; VIBRATIONS (MECHANICAL);

EID: 37449034879     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2007.07.014     Document Type: Article
Times cited : (123)

References (44)
  • 2
    • 33846288234 scopus 로고    scopus 로고
    • Meshfree method and their comparisons
    • Gu Y.T. Meshfree method and their comparisons. Int J Comput Methods 2 (2005) 477-515
    • (2005) Int J Comput Methods , vol.2 , pp. 477-515
    • Gu, Y.T.1
  • 3
    • 0027035536 scopus 로고
    • Generalizing the finite element method: diffuse approximation and diffuse elements
    • Naroles B., Touzot G., and Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech 10 (1992) 307-318
    • (1992) Comput Mech , vol.10 , pp. 307-318
    • Naroles, B.1    Touzot, G.2    Villon, P.3
  • 5
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astron J 8 (1977) 1013-1024
    • (1977) Astron J , vol.8 , pp. 1013-1024
    • Lucy, L.B.1
  • 8
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless Petrov-Galerkin (MLPG) approach
    • Atluri S.N., and Zhu T. A new meshless Petrov-Galerkin (MLPG) approach. Comput Mech 22 (1998) 117-127
    • (1998) Comput Mech , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 9
    • 0010712183 scopus 로고    scopus 로고
    • Completeness of corrective smoothed particle method for linear elastodynamics
    • Chen J.K., Beraun J.E., and Jih C.J. Completeness of corrective smoothed particle method for linear elastodynamics. Comput Mech 24 (1999) 273-285
    • (1999) Comput Mech , vol.24 , pp. 273-285
    • Chen, J.K.1    Beraun, J.E.2    Jih, C.J.3
  • 10
    • 13844292593 scopus 로고    scopus 로고
    • Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method
    • Batra R.C., and Zhang G.M. Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method. J Comput Phys 201 (2004) 172-190
    • (2004) J Comput Phys , vol.201 , pp. 172-190
    • Batra, R.C.1    Zhang, G.M.2
  • 11
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solids
    • Liu G.R., and Gu Y.T. A point interpolation method for two-dimensional solids. Int J Numer Methods Eng 50 (2001) 937-951
    • (2001) Int J Numer Methods Eng , vol.50 , pp. 937-951
    • Liu, G.R.1    Gu, Y.T.2
  • 12
    • 33750061211 scopus 로고    scopus 로고
    • A linearly conforming point interpolation method (LC-PIM) for 2D solid mechanics problems
    • Liu G.R., Zhang G.Y., Dai K.Y., Wang Y.Y., Zhong Z.H., Li G.Y., et al. A linearly conforming point interpolation method (LC-PIM) for 2D solid mechanics problems. Int J Comput Methods 2 (2006) 645-665
    • (2006) Int J Comput Methods , vol.2 , pp. 645-665
    • Liu, G.R.1    Zhang, G.Y.2    Dai, K.Y.3    Wang, Y.Y.4    Zhong, Z.H.5    Li, G.Y.6
  • 13
    • 34447536328 scopus 로고    scopus 로고
    • A linearly conforming RPIM for solids mechanics problems
    • Liu G.R., Li Y., Dai K.Y., Luan M.T., and Xue W. A linearly conforming RPIM for solids mechanics problems. Int J Comput Methods 3 (2006) 401-428
    • (2006) Int J Comput Methods , vol.3 , pp. 401-428
    • Liu, G.R.1    Li, Y.2    Dai, K.Y.3    Luan, M.T.4    Xue, W.5
  • 14
    • 0030421494 scopus 로고    scopus 로고
    • Nodal integration of the element-free Galerkin method
    • Beissel S., and Belytschko T. Nodal integration of the element-free Galerkin method. Comput Methods Appl Mech Eng 139 (1996) 49-74
    • (1996) Comput Methods Appl Mech Eng , vol.139 , pp. 49-74
    • Beissel, S.1    Belytschko, T.2
  • 15
    • 0034723949 scopus 로고    scopus 로고
    • Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulation
    • Bonet J., and Kulasegaram S. Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulation. Int J Numer Methods Eng 47 (1999) 1189-1214
    • (1999) Int J Numer Methods Eng , vol.47 , pp. 1189-1214
    • Bonet, J.1    Kulasegaram, S.2
  • 16
    • 0035120922 scopus 로고    scopus 로고
    • A stabilized conforming nodal integration for Galerkin mesh-free methods
    • Chen J.S., Wu C.T., Yoon S., and You Y. A stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Numer Methods Eng 50 (2001) 435-466
    • (2001) Int J Numer Methods Eng , vol.50 , pp. 435-466
    • Chen, J.S.1    Wu, C.T.2    Yoon, S.3    You, Y.4
  • 17
    • 1842471029 scopus 로고    scopus 로고
    • Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation
    • Wang D.D., and Chen J.S. Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation. Comput Methods Appl Mech Eng 193 (2004) 1065-1083
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 1065-1083
    • Wang, D.D.1    Chen, J.S.2
  • 18
    • 34247581039 scopus 로고
    • Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
    • Srinivas S., and Rao A.K. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int J Solids Struct 6 (1970) 1463-1481
    • (1970) Int J Solids Struct , vol.6 , pp. 1463-1481
    • Srinivas, S.1    Rao, A.K.2
  • 19
    • 0000965178 scopus 로고
    • An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
    • Srinivas S., Joga C.V., and Rao A.K. An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates. J Sound Vibrat 12 (1970) 187-199
    • (1970) J Sound Vibrat , vol.12 , pp. 187-199
    • Srinivas, S.1    Joga, C.V.2    Rao, A.K.3
  • 20
    • 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
  • 21
    • 0033226160 scopus 로고    scopus 로고
    • Analytical solution for rectangular thick laminated plates subjected to arbitrary boundary conditions
    • Vel S.S., and Batra R.C. Analytical solution for rectangular thick laminated plates subjected to arbitrary boundary conditions. AIAA J 37 (1999) 1464-1473
    • (1999) AIAA J , vol.37 , pp. 1464-1473
    • Vel, S.S.1    Batra, R.C.2
  • 22
    • 1442290791 scopus 로고    scopus 로고
    • Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and Meshless Petrov-Galerkin (MLPG) method
    • Qian L.F., Batra R.C., and Chen L.M. Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and Meshless Petrov-Galerkin (MLPG) method. Comput Model Eng Sci 4 (2003) 519-534
    • (2003) Comput Model Eng Sci , vol.4 , pp. 519-534
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 23
    • 16344362864 scopus 로고    scopus 로고
    • Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method
    • Ferreira A.J.M., Batra R.C., Roque C.M.C., Qian L.F., and Martins P.A.L.S. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Compos Struct 69 (2005) 449-457
    • (2005) Compos Struct , vol.69 , pp. 449-457
    • Ferreira, A.J.M.1    Batra, R.C.2    Roque, C.M.C.3    Qian, L.F.4    Martins, P.A.L.S.5
  • 24
    • 0025206382 scopus 로고
    • Theory and applications of multiquadrics Bihamonics method (20 years of discovery 1968-1988)
    • Hardy R.L. Theory and applications of multiquadrics Bihamonics method (20 years of discovery 1968-1988). Comput Math Appl 19 (1990) 127-161
    • (1990) Comput Math Appl , vol.19 , pp. 127-161
    • Hardy, R.L.1
  • 25
    • 0001023857 scopus 로고    scopus 로고
    • Multiquadric method for the numerical solution of a biphasic mixture model
    • Hon Y.C., Lu M.W., Xue W.M., and Zhu Y.M. Multiquadric method for the numerical solution of a biphasic mixture model. J Appl Math Comput 88 (1997) 153-175
    • (1997) J Appl Math Comput , vol.88 , pp. 153-175
    • Hon, Y.C.1    Lu, M.W.2    Xue, W.M.3    Zhu, Y.M.4
  • 26
    • 21044441811 scopus 로고    scopus 로고
    • Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions
    • Ferreira A.J.M., Roque C.M.C., and Jorge R.M.N. Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions. Comput Methods Appl Mech Eng 194 (2005) 4265-4278
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 4265-4278
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Jorge, R.M.N.3
  • 27
    • 33846542841 scopus 로고    scopus 로고
    • Free vibration analysis of Timoshenko beams and Mindlin plates by radial basis functions
    • Ferreira A.J.M. Free vibration analysis of Timoshenko beams and Mindlin plates by radial basis functions. Int J Comput Methods 2 1 (2005) 15-31
    • (2005) Int J Comput Methods , vol.2 , Issue.1 , pp. 15-31
    • Ferreira, A.J.M.1
  • 28
    • 23944473247 scopus 로고    scopus 로고
    • Modelling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions
    • Roque C.M.C., Ferreira A.J.M., and Jorge R.M.N. Modelling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions. Compos Part B - Eng 36 (2005) 559-572
    • (2005) Compos Part B - Eng , vol.36 , pp. 559-572
    • Roque, C.M.C.1    Ferreira, A.J.M.2    Jorge, R.M.N.3
  • 30
    • 33750466917 scopus 로고    scopus 로고
    • Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions
    • Xiao J.R., Batra R.C., Gilhooley D.F., Gillespie Jr. J.W., and McCarthy M.A. Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Comput Methods Appl Mech Eng 196 (2007) 979-987
    • (2007) Comput Methods Appl Mech Eng , vol.196 , pp. 979-987
    • Xiao, J.R.1    Batra, R.C.2    Gilhooley, D.F.3    Gillespie Jr., J.W.4    McCarthy, M.A.5
  • 31
    • 0037143775 scopus 로고    scopus 로고
    • A point interpolation meshless method based on radial basis functions
    • Wang J.G., and Liu G.R. A point interpolation meshless method based on radial basis functions. Int J Numer Methods Eng 54 (2002) 1623-1648
    • (2002) Int J Numer Methods Eng , vol.54 , pp. 1623-1648
    • Wang, J.G.1    Liu, G.R.2
  • 32
    • 0035817769 scopus 로고    scopus 로고
    • A local radial interpolation method (LRPIM) for free vibration analysis of 2-D solids
    • Liu G.R., and Gu Y.T. A local radial interpolation method (LRPIM) for free vibration analysis of 2-D solids. J Sound Vibrat 246 (2001) 29-46
    • (2001) J Sound Vibrat , vol.246 , pp. 29-46
    • Liu, G.R.1    Gu, Y.T.2
  • 33
    • 0037066169 scopus 로고    scopus 로고
    • Numerical analysis of Biot's consolidation process by radial point interpolation method
    • Wang J.G., Liu G.R., and Lin P. Numerical analysis of Biot's consolidation process by radial point interpolation method. Int J Solids Struct 39 (2002) 1557-1573
    • (2002) Int J Solids Struct , vol.39 , pp. 1557-1573
    • Wang, J.G.1    Liu, G.R.2    Lin, P.3
  • 34
    • 0037394072 scopus 로고    scopus 로고
    • A radial point interpolation method for simulation of two-dimensional piezoelectric structures
    • Liu G.R., Dai K.Y., Lim K.M., and Gu Y.T. A radial point interpolation method for simulation of two-dimensional piezoelectric structures. Smart Mater Struct 12 (2003) 171-180
    • (2003) Smart Mater Struct , vol.12 , pp. 171-180
    • Liu, G.R.1    Dai, K.Y.2    Lim, K.M.3    Gu, Y.T.4
  • 35
    • 0345870035 scopus 로고    scopus 로고
    • An element-free Galerkin method for static and free vibration analysis of shear-deformable laminated composite plates
    • Dai K.Y., Liu G.R., Lim K.M., and Chen X.L. An element-free Galerkin method for static and free vibration analysis of shear-deformable laminated composite plates. J Sound Vibrat 269 (2004) 633-652
    • (2004) J Sound Vibrat , vol.269 , pp. 633-652
    • Dai, K.Y.1    Liu, G.R.2    Lim, K.M.3    Chen, X.L.4
  • 36
    • 17744376563 scopus 로고    scopus 로고
    • Thermomechanical analysis and active control of functionally graded material (FGM) plates using Element-free Galerkin method
    • Dai K.Y., Liu G.R., Han X., and Lim K.M. Thermomechanical analysis and active control of functionally graded material (FGM) plates using Element-free Galerkin method. Comput Struct 83 (2005) 1487-1502
    • (2005) Comput Struct , vol.83 , pp. 1487-1502
    • Dai, K.Y.1    Liu, G.R.2    Han, X.3    Lim, K.M.4
  • 40
    • 85011229065 scopus 로고
    • Analytical solutions of refined plate theories of cross-ply composite laminates
    • Khdeir A.A., and Reddy J.N. Analytical solutions of refined plate theories of cross-ply composite laminates. J Pressure Vessel Technol 113 (1991) 570-578
    • (1991) J Pressure Vessel Technol , vol.113 , pp. 570-578
    • Khdeir, A.A.1    Reddy, J.N.2
  • 42
    • 0001639697 scopus 로고    scopus 로고
    • Free vibration analysis of rectangular plates with variously-shaped holes
    • Huang M., and Sakiyama T. Free vibration analysis of rectangular plates with variously-shaped holes. J Sound Vibrat 226 (1999) 769-786
    • (1999) J Sound Vibrat , vol.226 , pp. 769-786
    • Huang, M.1    Sakiyama, T.2
  • 43
    • 0019213967 scopus 로고
    • Prediction of natural frequencies of vibration of rectangular plates with rectangular cutout
    • Ali R., and Atwal S.J. Prediction of natural frequencies of vibration of rectangular plates with rectangular cutout. Comput Struct 12 (1980) 819-823
    • (1980) Comput Struct , vol.12 , pp. 819-823
    • Ali, R.1    Atwal, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.