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Volumn 233-236, Issue , 2012, Pages 1-10

A novel complex variable element-free Galerkin method for two-dimensional large deformation problems

Author keywords

Element free Galerkin (EFG) method; Improved complex variable element free Galerkin (ICVEFG) method; Improved complex variable moving least squares (ICVMLS) approximation; Large deformation; Meshless method; Moving least squares (MLS) approximation

Indexed keywords

ELEMENT-FREE; GALERKIN; LARGE DEFORMATIONS; MESH-LESS METHODS; MOVING LEAST SQUARES; MOVING LEAST SQUARES APPROXIMATION;

EID: 84860867778     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.03.015     Document Type: Article
Times cited : (100)

References (37)
  • 3
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures
    • Chen J.S., Pan C., Wu C.T., Liu W.K. Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures. Comput. Methods Appl. Mech. Engrg. 1996, 139:195-227.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 195-227
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3    Liu, W.K.4
  • 4
    • 0031678553 scopus 로고    scopus 로고
    • Explicit reproducing kernel particle methods for large deformation problems
    • Jun S., Liu W.K., Belytschko T. Explicit reproducing kernel particle methods for large deformation problems. Int. J. Numer. Methods Engrg. 1998, 41:137-166.
    • (1998) Int. J. Numer. Methods Engrg. , vol.41 , pp. 137-166
    • Jun, S.1    Liu, W.K.2    Belytschko, T.3
  • 5
    • 0032050261 scopus 로고    scopus 로고
    • Multiple-scale reproducing kernel particle methods for large deformation problem
    • Liu W.K., Jun S. Multiple-scale reproducing kernel particle methods for large deformation problem. Int. J. Numer. Methods Engrg. 1998, 41:1339-1362.
    • (1998) Int. J. Numer. Methods Engrg. , vol.41 , pp. 1339-1362
    • Liu, W.K.1    Jun, S.2
  • 6
    • 0034325861 scopus 로고    scopus 로고
    • Mesh-free simulations of shear banding in large deformation
    • Li S., Hao W., Liu W.K. Mesh-free simulations of shear banding in large deformation. Int. J. Solids Struct. 2000, 37:7185-7206.
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 7185-7206
    • Li, S.1    Hao, W.2    Liu, W.K.3
  • 7
    • 0036569498 scopus 로고    scopus 로고
    • Meshfree method for large deformation analysis - A reproducing kernel particle approach
    • Liew K.M., Ng T.Y., Wu Y.C. Meshfree method for large deformation analysis - A reproducing kernel particle approach. Engrg. Struct. 2002, 24:543-551.
    • (2002) Engrg. Struct. , vol.24 , pp. 543-551
    • Liew, K.M.1    Ng, T.Y.2    Wu, Y.C.3
  • 8
    • 0037221455 scopus 로고    scopus 로고
    • A meshless method for large deflection of plates
    • Sladek J., Sladek V.A. A meshless method for large deflection of plates. Comput. Mech. 2003, 30(2):155-163.
    • (2003) Comput. Mech. , vol.30 , Issue.2 , pp. 155-163
    • Sladek, J.1    Sladek, V.A.2
  • 9
    • 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., Atluri S.N. Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. Comput. Model. Engrg. Sci. 2005, 10:1-12.
    • (2005) Comput. Model. Engrg. Sci. , vol.10 , pp. 1-12
    • Han, Z.D.1    Rajendran, A.M.2    Atluri, S.N.3
  • 10
    • 16244382854 scopus 로고    scopus 로고
    • Adaptive enrichment meshfree simulation and experiment on buckling and post-buckling analysis in sheet metal forming
    • Lu H., Cheng H.S., Cao J., Liu W.K. Adaptive enrichment meshfree simulation and experiment on buckling and post-buckling analysis in sheet metal forming. Comput. Methods Appl. Mech. Engrg. 2005, 194:2569-2590.
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 2569-2590
    • Lu, H.1    Cheng, H.S.2    Cao, J.3    Liu, W.K.4
  • 11
    • 33847011666 scopus 로고    scopus 로고
    • Rbf-based meshless method for large deflection of thin plates
    • Naffa M., Al-Gahtani H.J. Rbf-based meshless method for large deflection of thin plates. Engrg. Anal. Bound. Elem. 2007, 31:311-317.
    • (2007) Engrg. Anal. Bound. Elem. , vol.31 , pp. 311-317
    • Naffa, M.1    Al-Gahtani, H.J.2
  • 12
    • 33846215566 scopus 로고    scopus 로고
    • On the analysis of an Efg method under large deformations and volumetric locking
    • Rossi R., Alves M.K. On the analysis of an Efg method under large deformations and volumetric locking. Comput. Mech. 2007, 39:381-399.
    • (2007) Comput. Mech. , vol.39 , pp. 381-399
    • Rossi, R.1    Alves, M.K.2
  • 13
    • 33947621192 scopus 로고    scopus 로고
    • Nonlinear analysis of corrugated plates using a Fsdt and a meshfree method
    • Liew K.M., Peng L.X., Kitipornchai S. Nonlinear analysis of corrugated plates using a Fsdt and a meshfree method. Comput. Methods Appl. Mech. Engrg. 2007, 196:2358-2376.
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , pp. 2358-2376
    • Liew, K.M.1    Peng, L.X.2    Kitipornchai, S.3
  • 14
    • 43649085676 scopus 로고    scopus 로고
    • An Efg method for the nonlinear analysis of plates undergoing arbitrarily large deformations
    • Tiago C., Pimenta P.M. An Efg method for the nonlinear analysis of plates undergoing arbitrarily large deformations. Engrg. Anal. Bound. Elem. 2008, 32:494-511.
    • (2008) Engrg. Anal. Bound. Elem. , vol.32 , pp. 494-511
    • Tiago, C.1    Pimenta, P.M.2
  • 15
    • 77952554515 scopus 로고    scopus 로고
    • A comparison of implicit and explicit natural element methods in large strains problems: application to soft biological tissues modeling
    • Doweidar M.H., Calvo B., Alfaro I., Groenenboomd P., Doblaré M. A comparison of implicit and explicit natural element methods in large strains problems: application to soft biological tissues modeling. Comput. Methods Appl. Mech. Engrg. 2010, 199:1691-1700.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 1691-1700
    • Doweidar, M.H.1    Calvo, B.2    Alfaro, I.3    Groenenboomd, P.4    Doblaré, M.5
  • 16
    • 84966237423 scopus 로고
    • Surface generated by moving least squares methods
    • Lancaster P., Salkauskas K. Surface generated by moving least squares methods. Math. Comput. 1981, 37:141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 17
    • 32444439975 scopus 로고    scopus 로고
    • Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
    • Liew K.M., Cheng Y., Kitipornchai S. Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems. Int. J. Numer. Methods Engrg. 2006, 65(8):1310-1332.
    • (2006) Int. J. Numer. Methods Engrg. , vol.65 , Issue.8 , pp. 1310-1332
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 18
    • 33644660251 scopus 로고    scopus 로고
    • Boundary element-free method for elastodynamics
    • Cheng Y., Peng M. Boundary element-free method for elastodynamics. Sci. China Ser. G Phys. Mech. Astron. 2005, 48(6):641-657.
    • (2005) Sci. China Ser. G Phys. Mech. Astron. , vol.48 , Issue.6 , pp. 641-657
    • Cheng, Y.1    Peng, M.2
  • 19
    • 28344442464 scopus 로고    scopus 로고
    • Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform
    • Liew K.M., Cheng Y., Kitipornchai S. Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform. Int. J. Numer. Methods Engrg. 2005, 64(12):1610-1627.
    • (2005) Int. J. Numer. Methods Engrg. , vol.64 , Issue.12 , pp. 1610-1627
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 20
    • 17744365462 scopus 로고    scopus 로고
    • A boundary element-free method (BEFM) for three-dimensional elasticity problems
    • Kitipornchai S., Liew K.M., Cheng Y. A boundary element-free method (BEFM) for three-dimensional elasticity problems. Comput. Mech. 2005, 36:13-20.
    • (2005) Comput. Mech. , vol.36 , pp. 13-20
    • Kitipornchai, S.1    Liew, K.M.2    Cheng, Y.3
  • 21
    • 31744437724 scopus 로고    scopus 로고
    • Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method
    • Sun Y., Zhang Z., Kitipornchai S., Liew K.M. Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method. Int. J. Engrg. Sci. 2006, 44:37-48.
    • (2006) Int. J. Engrg. Sci. , vol.44 , pp. 37-48
    • Sun, Y.1    Zhang, Z.2    Kitipornchai, S.3    Liew, K.M.4
  • 22
    • 33947577913 scopus 로고    scopus 로고
    • Analyzing the 2D fracture problems via the enriched boundary element-free method
    • Liew K.M., Cheng Y., Kitipornchai S. Analyzing the 2D fracture problems via the enriched boundary element-free method. Int. J. Solids Struct. 2007, 44:4220-4233.
    • (2007) Int. J. Solids Struct. , vol.44 , pp. 4220-4233
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 23
    • 33846310738 scopus 로고    scopus 로고
    • Boundary element-free method for fracture analysis of 2-D anisotropic piezoelectric solids
    • Liew K.M., Sun Y., Kitipornchai S. Boundary element-free method for fracture analysis of 2-D anisotropic piezoelectric solids. Int. J. Numer. Methods Engrg. 2007, 69:729-749.
    • (2007) Int. J. Numer. Methods Engrg. , vol.69 , pp. 729-749
    • Liew, K.M.1    Sun, Y.2    Kitipornchai, S.3
  • 24
    • 34447623043 scopus 로고    scopus 로고
    • A mesh-free simulation of cracking and failure using the cohesive segments method
    • Sun Y., Hu Y.G., Liew K.M. A mesh-free simulation of cracking and failure using the cohesive segments method. Int. J. Engrg. Sci. 2007, 45:541-553.
    • (2007) Int. J. Engrg. Sci. , vol.45 , pp. 541-553
    • Sun, Y.1    Hu, Y.G.2    Liew, K.M.3
  • 25
    • 60949092234 scopus 로고    scopus 로고
    • The boundary element-free method for elastoplastic implicit analysis
    • Miers L.S., Telles J.C.F. The boundary element-free method for elastoplastic implicit analysis. Int. J. Numer. Methods Engrg. 2008, 76:1090-1107.
    • (2008) Int. J. Numer. Methods Engrg. , vol.76 , pp. 1090-1107
    • Miers, L.S.1    Telles, J.C.F.2
  • 26
    • 36649017509 scopus 로고    scopus 로고
    • Coupling of improved element-free Galerkin and boundary element methods for the 2D elasticity problems
    • Zhang Z., Liew K.M., Cheng Y. Coupling of improved element-free Galerkin and boundary element methods for the 2D elasticity problems. Engrg. Anal. Bound. Elem. 2008, 32:100-107.
    • (2008) Engrg. Anal. Bound. Elem. , vol.32 , pp. 100-107
    • Zhang, Z.1    Liew, K.M.2    Cheng, Y.3
  • 27
    • 38349104986 scopus 로고    scopus 로고
    • Analyzing 2D fracture problems with the improved element-free Galerkin method
    • Zhang Z., Liew K.M., Cheng Y., Lee Y.Y. Analyzing 2D fracture problems with the improved element-free Galerkin method. Engrg. Anal. Bound. Elem. 2008, 32:241-250.
    • (2008) Engrg. Anal. Bound. Elem. , vol.32 , pp. 241-250
    • Zhang, Z.1    Liew, K.M.2    Cheng, Y.3    Lee, Y.Y.4
  • 28
    • 84861716153 scopus 로고    scopus 로고
    • An improved interpolating moving least-squares method
    • in: Bictam International Symposium on Meshfree, Particle and Extended Finite Element Methods, Nanjing, China, October 12-16
    • H. Ren, Y. Cheng, W. Zhang, An improved interpolating moving least-squares method, in: Bictam International Symposium on Meshfree, Particle and Extended Finite Element Methods, Nanjing, China, October 12-16, 2009.
    • (2009)
    • Ren, H.1    Cheng, Y.2    Zhang, W.3
  • 29
    • 84857346815 scopus 로고    scopus 로고
    • Researches on the interpolating meshless methods
    • Ph.D. Dissertation, Shanghai University
    • H. Ren, Researches on the interpolating meshless methods, Ph.D. Dissertation, Shanghai University, 2010.
    • (2010)
    • Ren, H.1
  • 30
    • 33644653009 scopus 로고    scopus 로고
    • A complex variable meshless method for fracture problems
    • Cheng Y., Li J. A complex variable meshless method for fracture problems. Sci. China Ser. G Phys. Mech. Astron. 2006, 49(1):46-59.
    • (2006) Sci. China Ser. G Phys. Mech. Astron. , vol.49 , Issue.1 , pp. 46-59
    • Cheng, Y.1    Li, J.2
  • 31
    • 33947688630 scopus 로고    scopus 로고
    • Complex variable moving least-squares method: a meshless approximation technique
    • Liew K.M., Feng C., Cheng Y., Kitipornchai S. Complex variable moving least-squares method: a meshless approximation technique. Int. J. Numer. Methods Engrg. 2007, 70:46-70.
    • (2007) Int. J. Numer. Methods Engrg. , vol.70 , pp. 46-70
    • Liew, K.M.1    Feng, C.2    Cheng, Y.3    Kitipornchai, S.4
  • 32
    • 35548955268 scopus 로고    scopus 로고
    • The complex variable moving least-square approximation and its application
    • Cheng Y., Peng M., Li J. The complex variable moving least-square approximation and its application. Chin. J. Theoret. Appl. Mech. 2005, 37(6):719-723.
    • (2005) Chin. J. Theoret. Appl. Mech. , vol.37 , Issue.6 , pp. 719-723
    • Cheng, Y.1    Peng, M.2    Li, J.3
  • 33
    • 70350138833 scopus 로고    scopus 로고
    • Complex variable boundary element-free method for two-dimensional elastodynamic problems
    • Liew K.M., Cheng Y. Complex variable boundary element-free method for two-dimensional elastodynamic problems. Comput. Methods Appl. Mech. Engrg. 2009, 198:3925-3933.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 3925-3933
    • Liew, K.M.1    Cheng, Y.2
  • 34
    • 77953162678 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems
    • Peng M., Liu P., Cheng Y. The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems. Int. J. Appl. Mech. 2009, 1(2):367-385.
    • (2009) Int. J. Appl. Mech. , vol.1 , Issue.2 , pp. 367-385
    • Peng, M.1    Liu, P.2    Cheng, Y.3
  • 35
    • 78649445574 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems
    • Peng M., Li D., Cheng Y. The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems. Engrg. Struct. 2011, 33:127-135.
    • (2011) Engrg. Struct. , vol.33 , pp. 127-135
    • Peng, M.1    Li, D.2    Cheng, Y.3
  • 36
    • 84861678640 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for elastic large deformation problems
    • Li D., Peng M., Cheng Y. The complex variable element-free Galerkin (CVEFG) method for elastic large deformation problems. Sci. Sin. Phys. Mech. Astron. 2011, 41(8):1003-1014.
    • (2011) Sci. Sin. Phys. Mech. Astron. , vol.41 , Issue.8 , pp. 1003-1014
    • Li, D.1    Peng, M.2    Cheng, Y.3
  • 37
    • 0242478410 scopus 로고    scopus 로고
    • Element-free method and its application in engineering
    • Zhou W., Kou X. Element-free method and its application in engineering. Acta Mech. Sin. 1998, 30(2):193-202.
    • (1998) Acta Mech. Sin. , vol.30 , Issue.2 , pp. 193-202
    • Zhou, W.1    Kou, X.2


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