메뉴 건너뛰기




Volumn 81, Issue 9, 2010, Pages 1127-1156

A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems

Author keywords

Compatibility; Finite element method; G space; Galerkin weak form; Meshfree method; Numerical method; Point interpolation method; Solution bound; Variational principle; Weakened weakform

Indexed keywords

GALERKIN; GALERKIN WEAK FORM; MESH-FREE METHOD; POINT INTERPOLATION METHOD; SOLUTION BOUND; VARIATIONAL PRINCIPLES; WEAK FORM;

EID: 74949134766     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2720     Document Type: Article
Times cited : (155)

References (24)
  • 1
    • 74949125855 scopus 로고    scopus 로고
    • A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part I theory
    • DOI: 10.1002/nme.2719
    • Liu GR. A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: part I theory. International Journal for Numerical Methods in Engineering 2009; DOI: 10.1002/nme.2719.
    • (2009) International Journal For Numerical Methods In Engineering
    • Liu, G.R.1
  • 5
    • 56049099546 scopus 로고    scopus 로고
    • A node-based smoothed finite element method (N-SFEM) for upper bound solutions to solid mechanics problems
    • Liu GR, Nguyen TT, Nguyen XH, Lam KY. A node-based smoothed finite element method (N-SFEM) for upper bound solutions to solid mechanics problems. Computers and Structures 2009; 87:14-26.
    • (2009) Computers and Structures , vol.87 , pp. 14-26
    • Liu, G.R.1    Nguyen, T.T.2    Nguyen, X.H.3    Lam, K.Y.4
  • 6
    • 59349084912 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (E-SFEM) for static and dynamic problems of solid mechanics
    • Liu GR, Nguyen TT, Lam KY. An edge-based smoothed finite element method (E-SFEM) for static and dynamic problems of solid mechanics. Journal of Sound and Vibration 2009; 320:1100-1130.
    • (2009) Journal of Sound and Vibration , vol.320 , pp. 1100-1130
    • Liu, G.R.1    Nguyen, T.T.2    Lam, K.Y.3
  • 7
    • 64049100075 scopus 로고    scopus 로고
    • A face-based smoothed finite element method (F-SFEM) for 3D linear and nonlinear solid mechanics problems using 4-node tetrahedral elements
    • DOI: 10.1002/nme.2491
    • Nguyen TT, Liu GR, Lam KY, GY Zhang. A face-based smoothed finite element method (F-SFEM) for 3D linear and nonlinear solid mechanics problems using 4-node tetrahedral elements. International Journal for Numerical Methods in Engineering 2008; DOI: 10.1002/nme.2491.
    • (2008) International Journal For Numerical Methods In Engineering
    • Nguyen, T.T.1    Liu, G.R.2    Lam, K.Y.3    Zhang, G.Y.4
  • 10
    • 47149092854 scopus 로고    scopus 로고
    • A generalized gradient smoothing technique and the smoothed bilinear form for galerkin formulation of a wide class of computational methods
    • Liu GR. A generalized gradient smoothing technique and the smoothed bilinear form for galerkin formulation of a wide class of computational methods. International Journal of Computational Methods 2008; 5(2):199-236.
    • (2008) International Journal of Computational Methods , vol.5 , Issue.2 , pp. 199-236
    • Liu, G.R.1
  • 14
    • 43749110663 scopus 로고    scopus 로고
    • Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC-PIM)
    • Liu GR, Zhang GY. Upper bound solution to elasticity problems: a unique property of the linearly conforming point interpolation method (LC-PIM). International Journal for Numerical Methods in Engineering 2008; 74:1128-1161.
    • (2008) International Journal For Numerical Methods In Engineering , vol.74 , pp. 1128-1161
    • Liu, G.R.1    Zhang, G.Y.2
  • 16
    • 33847275229 scopus 로고    scopus 로고
    • A smoothed finite element method for mechanics problems
    • Liu GR, Dai KY, Nguyen TT. A smoothed finite element method for mechanics problems. Computational Mechanics 2007; 39:859-877.
    • (2007) Computational Mechanics , vol.39 , pp. 859-877
    • Liu, G.R.1    Dai, K.Y.2    Nguyen, T.T.3
  • 17
    • 34548303950 scopus 로고    scopus 로고
    • An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics
    • Dai KY, Liu GR, Nguyen TT. An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics. Finite Elements in Analysis and Design 2007; 43:847-860.
    • (2007) Finite Elements In Analysis and Design , vol.43 , pp. 847-860
    • Dai, K.Y.1    Liu, G.R.2    Nguyen, T.T.3
  • 20
    • 65149097284 scopus 로고    scopus 로고
    • A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method
    • Liu GR, Zhang GY. A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method. International Journal of Computational Methods 2009; 6(1):147-179.
    • (2009) International Journal of Computational Methods , vol.6 , Issue.1 , pp. 147-179
    • Liu, G.R.1    Zhang, G.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.