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Volumn 5, Issue 1, 2013, Pages

A moving Kriging interpolation-based meshless local Petrov-Galerkin method for elastodynamic analysis

Author keywords

elastodynamic analysis; Meshless local Petrov Galerkin method; moving Kriging interpolation method; Newmark method

Indexed keywords

ELASTODYNAMIC ANALYSIS; ELASTODYNAMIC EQUATION; ESSENTIAL BOUNDARY CONDITIONS; HEAVISIDE STEP FUNCTION; MESHLESS LOCAL PETROV-GALERKIN METHODS; MOVING KRIGING INTERPOLATIONS; NEWMARK METHODS; TIME-INTEGRATION SCHEME;

EID: 84876751692     PISSN: 17588251     EISSN: 1758826X     Source Type: Journal    
DOI: 10.1142/S1758825113500117     Document Type: Article
Times cited : (44)

References (51)
  • 1
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri, S. N. and Zhu, T. L. [1998] "A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics," Computational Mechanics 22, 117-127
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.L.2
  • 3
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods
    • Atluri, S. N. and Shen, S. P. [2002] "The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element and boundary element methods," Computer Modeling in Engineering Science 3, 11-51
    • (2002) Computer Modeling in Engineering Science , vol.3 , pp. 11-51
    • Atluri, S.N.1    Shen, S.P.2
  • 4
    • 84863119485 scopus 로고    scopus 로고
    • An improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional elasticity problems
    • 020204
    • Bai, F. N., Li, D. M., Wang, J. F. and Cheng, Y. M. [2012] "An improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional elasticity problems," Chinese Physics B 21, 020204, 10 pp. (2012
    • (2012) Chinese Physics B , vol.21 , pp. 10
    • Bai, F.N.1    Li, D.M.2    Wang, J.F.3    Cheng, Y.M.4
  • 8
    • 60949102515 scopus 로고    scopus 로고
    • A moving Kriging interpolationbased meshless method for numerical simulation of Kirchhoff plate problems
    • Bui, Q. T., Nguyen, N. T. and Nguyen-Dang, H. [2009] "A moving Kriging interpolationbased meshless method for numerical simulation of Kirchhoff plate problems," International Journal of Numerical Methods and Engineering 77, 1371-1395
    • (2009) International Journal of Numerical Methods and Engineering , vol.77 , pp. 1371-1395
    • Bui, Q.T.1    Nguyen, N.T.2    Nguyen-Dang, H.3
  • 9
    • 80051877845 scopus 로고    scopus 로고
    • Eigenvalue analysis of thin plate with complicated shapes by a novel mesh-free method
    • Bui, Q. T. and Nguyen, N. M. [2011] "Eigenvalue analysis of thin plate with complicated shapes by a novel mesh-free method," International Journal of Applied Mechanics 3, 21-46
    • (2011) International Journal of Applied Mechanics , vol.3 , pp. 21-46
    • Bui, Q.T.1    Nguyen, N.M.2
  • 10
    • 79954603787 scopus 로고    scopus 로고
    • A local Petrov-Galerkin approach with moving Kriging interpolation for solving transient heat conduction problems
    • Moving Kriging Interpolation-Based MLPG Method Chen, L. and Liew, K. M. [2010] "A local Petrov-Galerkin approach with moving Kriging interpolation for solving transient heat conduction problems," Computer Mechanics 47, 455-467
    • (2010) Computer Mechanics , vol.47 , pp. 455-467
    • Chen, L.1    Liew, K.M.2
  • 13
    • 68949213827 scopus 로고    scopus 로고
    • The reproducing kernel particle method for twodimensional unsteady heat conduction problem
    • Cheng, R. J. and Liew, K. M. [2009] "The reproducing kernel particle method for twodimensional unsteady heat conduction problem," Computer Mechanics 45, 1-10
    • (2009) Computer Mechanics , vol.45 , pp. 1-10
    • Cheng, R.J.1    Liew, K.M.2
  • 14
    • 0001848443 scopus 로고    scopus 로고
    • Determination of crack tip fields in linear elastostatics by the meshless local Petrov-Galerkin (MLPG) method
    • Ching, H. K. and Batra, R. C. [2001] "Determination of crack tip fields in linear elastostatics by the meshless local Petrov-Galerkin (MLPG) method,"Computer Modelling in Engineering Science 2, 273-290
    • (2001) Computer Modelling in Engineering Science , vol.2 , pp. 273-290
    • Ching, H.K.1    Batra, R.C.2
  • 17
    • 0035271335 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) method for free and vibration analyses for solids
    • Gu, Y. T. and Liu, G. R. [2001] "A meshless local Petrov-Galerkin (MLPG) method for free and vibration analyses for solids," Computer Mechanics 27, 188-198
    • (2001) Computer Mechanics , vol.27 , pp. 188-198
    • Gu, Y.T.1    Liu, G.R.2
  • 19
    • 29844443280 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations
    • Han, Z. D., Rajendran, A. M. and Atluri, S. N [2005]. "Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations," Computer Modeling in Engineering Science 1, 1-12
    • (2005) Computer Modeling in Engineering Science , vol.1 , pp. 1-12
    • Han, Z.D.1    Rajendran, A.M.2    Atluri, S.N.3
  • 20
    • 33646136226 scopus 로고    scopus 로고
    • A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation
    • Hu, D. A., Long, S. Y., Liu, K. Y. and Li, G. Y. [2006] "A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation," Engineering Analysis of Boundary Elements 30, 399-404
    • (2006) Engineering Analysis of Boundary Elements , vol.30 , pp. 399-404
    • Hu, D.A.1    Long, S.Y.2    Liu, K.Y.3    Li, G.Y.4
  • 21
    • 17744365462 scopus 로고    scopus 로고
    • A boundary element-free method (BEFM) for three-dimensional elasticity problems
    • Kitipornchai, S., Liew, K. M. and Cheng, Y. M. [2005] "A boundary element-free method (BEFM) for three-dimensional elasticity problems," Computer Mechanics 36, 13-20
    • (2005) Computer Mechanics , vol.36 , pp. 13-20
    • Kitipornchai, S.1    Liew, K.M.2    Cheng, Y.M.3
  • 22
    • 3042778515 scopus 로고    scopus 로고
    • A novel meshless approach-local Kriging (LoKriging) method with two-dimensional structural analysis
    • Lam, K. Y., Wang, Q. X. and Li, H. [2004] "A novel meshless approach-local Kriging (LoKriging) method with two-dimensional structural analysis," Computer Mechanics 33, 235-244
    • (2004) Computer Mechanics , vol.33 , pp. 235-244
    • Lam, K.Y.1    Wang, Q.X.2    Li, H.3
  • 23
    • 84966237423 scopus 로고
    • Surface generated by moving least squares method
    • Lancaster, P. and Salkauskas, K. [1981] "Surface generated by moving least squares method," Mathematics of Computation 37, 141-158
    • (1981) Mathematics of Computation , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 24
    • 16544389785 scopus 로고    scopus 로고
    • Development of a novel meshless local Kriging (LoKriging) method for structural dynamic analysis
    • Li, H., Wang, Q. X. and Lam, K. Y. [2004] "Development of a novel meshless local Kriging (LoKriging) method for structural dynamic analysis," Computational Methods in Applied Mechanics and Engineering 193, 2599-2619
    • (2004) Computational Methods in Applied Mechanics and Engineering , vol.193 , pp. 2599-2619
    • Li, H.1    Wang, Q.X.2    Lam, K.Y.3
  • 25
    • 78651098365 scopus 로고    scopus 로고
    • A moving Kriging interpolation-based boundary node method for two-dimensional potential problems
    • Li, X. G., Dai, B. D. and Wang, L. H. [2010] "A moving Kriging interpolation-based boundary node method for two-dimensional potential problems," Chinese Physics B 19, 120202
    • (2010) Chinese Physics B , vol.19 , pp. 120202
    • Li, X.G.1    Dai, B.D.2    Wang, L.H.3
  • 28
    • 70350138833 scopus 로고    scopus 로고
    • Complex variable boundary element-free method for two-dimensional elastodynamic problems
    • Liew, K. M. and Cheng, Y. M. [2009] "Complex variable boundary element-free method for two-dimensional elastodynamic problems," Computational Methods in Applied Mechanics and Engineering 198, 3925-3933
    • (2009) Computational Methods in Applied Mechanics and Engineering , vol.198 , pp. 3925-3933
    • Liew, K.M.1    Cheng, Y.M.2
  • 29
    • 0037906184 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • Lin, H. and Atluri, S. N. [2001] "The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations," Computer Modeling in Engineering Science 2, 117-142
    • (2001) Computer Modeling in Engineering Science , vol.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 32
    • 29144534039 scopus 로고    scopus 로고
    • A simple and less-costly meshless local Petrov-Galerkin (MLPG) method for the dynamic fracture problem
    • Liu, K. Y., Long, S. Y. and Li, G. Y. [2006] "A simple and less-costly meshless local Petrov-Galerkin (MLPG) method for the dynamic fracture problem," Engineering Analysis with Boundary Elements 30, 72-76
    • (2006) Engineering Analysis with Boundary Elements , vol.30 , pp. 72-76
    • Liu, K.Y.1    Long, S.Y.2    Li, G.Y.3
  • 34
    • 0043205008 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) formulation for solving the bending problem of a thin plate
    • Long, S. Y. and Atluri, S. N. [2002] "A meshless local Petrov-Galerkin (MLPG) formulation for solving the bending problem of a thin plate," Computer Modelling in Engineering Science 3, 53-63
    • (2002) Computer Modelling in Engineering Science , vol.3 , pp. 53-63
    • Long, S.Y.1    Atluri, S.N.2
  • 36
    • 49749100841 scopus 로고    scopus 로고
    • An analysis for the elasto-plastic fracture problem by the meshless local Petrov-Galerkin method
    • Long, S. Y., Liu, K. Y. and Li, G. Y. [2008] "An analysis for the elasto-plastic fracture problem by the meshless local Petrov-Galerkin method," Computer Modeling in Engineering Science 28, 203-216
    • (2008) Computer Modeling in Engineering Science , vol.28 , pp. 203-216
    • Long, S.Y.1    Liu, K.Y.2    Li, G.Y.3
  • 39
  • 41
    • 73549107207 scopus 로고    scopus 로고
    • An alternative alpha finite element method (AαFEM) for free and forced structural vibration using triangular meshes
    • Nguyen-Thanh, N., Rabczuk, T., Nguyen-Xuan, H. and Bordas, S. [2010] "An alternative alpha finite element method (AαFEM) for free and forced structural vibration using triangular meshes," Journal of Computational and Applied Mathematics 233, 2112- 2135
    • (2010) Journal of Computational and Applied Mathematics , vol.233 , pp. 2112-2135
    • Nguyen-Thanh, N.1    Rabczuk, T.2    Nguyen-Xuan, H.3    Bordas, S.4
  • 42
    • 56249135922 scopus 로고    scopus 로고
    • A boundary element-free method (BEFM) for twodimensional potential problems
    • Peng, M. J. and Cheng, Y. M. [2009] "A boundary element-free method (BEFM) for twodimensional potential problems," Engineering Analysis with Boundary Elements 33, 77-82
    • (2009) Engineering Analysis with Boundary Elements , vol.33 , pp. 77-82
    • Peng, M.J.1    Cheng, Y.M.2
  • 43
    • 77953162678 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems
    • Peng, M. J., Liu, P. and Cheng, Y. M. [2009] "The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems," International Journal of Numerical Methods and Engineering 1, 367-385
    • (2009) International Journal of Numerical Methods and Engineering , vol.1 , pp. 367-385
    • Peng, M.J.1    Liu, P.2    Cheng, Y.M.3
  • 44
    • 78649445574 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems
    • Peng, M. J., Li, D. M. and Cheng, Y. M. [2011] "The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems," Engineering Structures 33, 127-135
    • (2011) Engineering Structures , vol.33 , pp. 127-135
    • Peng, M.J.1    Li, D.M.2    Cheng, Y.M.3
  • 47
    • 36949020476 scopus 로고    scopus 로고
    • Further investigation of element-free Galerkin method using moving Kriging interpolation
    • Tongsuk, P. and Kanok-Nukulchai, W. [2004] "Further investigation of element-free Galerkin method using moving Kriging interpolation," International Journal of Computational Methods 1, 345-364
    • (2004) International Journal of Computational Methods , vol.1 , pp. 345-364
    • Tongsuk, P.1    Kanok-Nukulchai, W.2
  • 48
    • 41949137483 scopus 로고    scopus 로고
    • Meshless method based on the local weak-forms for steady-state heat conduction problems
    • Wu, X. H. and Tao, W. Q. [2008] "Meshless method based on the local weak-forms for steady-state heat conduction problems," International Journal of Heat Mass Transfer 51, 3103-3112
    • (2008) International Journal of Heat Mass Transfer , vol.51 , pp. 3103-3112
    • Wu, X.H.1    Tao, W.Q.2
  • 49
    • 77955790571 scopus 로고    scopus 로고
    • Improved meshless local Petrov-Galerkin method for two-dimensional potential problems
    • Zheng, B. J. and Dai, B. D. [2010] "Improved meshless local Petrov-Galerkin method for two-dimensional potential problems," Acta Physica Sinica 59, 5182-5189 (in Chinese
    • (2010) Acta Physica Sinica , vol.59 , pp. 5182-5189
    • Zheng, B.J.1    Dai, B.D.2
  • 50
    • 79960838273 scopus 로고    scopus 로고
    • A meshless local moving Kriging method for twodimensional solids
    • Zheng, B. J. and Dai, B. D. [2011] "A meshless local moving Kriging method for twodimensional solids," Applied Mathematics and Computer 218, 563-573
    • (2011) Applied Mathematics and Computer , vol.218 , pp. 563-573
    • Zheng, B.J.1    Dai, B.D.2
  • 51
    • 80052384467 scopus 로고    scopus 로고
    • Free vibration analysis of moderately thick functionally graded plates by local Kriging meshless method
    • Zhu, P. and Liew, K. M. [2011] "Free vibration analysis of moderately thick functionally graded plates by local Kriging meshless method," Composite Structures 93, 2925-2944
    • (2011) Composite Structures , vol.93 , pp. 2925-2944
    • Zhu, P.1    Liew, K.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.