메뉴 건너뛰기




Volumn 83, Issue 12, 2010, Pages 1651-1674

A cell-based smoothed finite element method for kinematic limit analysis

Author keywords

A sum of norms; CS FEM; Limit analysis; Second order cone programming; Strain smoothing

Indexed keywords

3-D PROBLEMS; A SUM OF NORMS; CELL-BASED; COMPUTATIONAL EFFORT; CS-FEM; EFFICIENT METHOD; EUCLIDEAN NORM; FINITE ELEMENT; LIMIT ANALYSIS; NONSMOOTH OPTIMIZATION; NUMERICAL PROCEDURES; OPTIMIZATION PROBLEMS; PLANE STRAIN PROBLEM; PLANE STRESS; QUADRATIC FORM; SECOND-ORDER CONE PROGRAMMING; SMOOTHED FINITE ELEMENT METHOD; SMOOTHING TECHNIQUES; VOLUMETRIC LOCKING; VON MISES CRITERION; YIELD CRITERIA;

EID: 77954957167     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2897     Document Type: Article
Times cited : (93)

References (62)
  • 6
    • 0242657731 scopus 로고    scopus 로고
    • Performance of the p-version finite element method for limit analysis
    • Tin-Loi F, Ngo NS. Performance of the p-version finite element method for limit analysis. International Journal of Mechanical Sciences 2003; 45:1149-1166.
    • (2003) International Journal of Mechanical Sciences , vol.45 , pp. 1149-1166
    • Tin-Loi, F.1    Ngo, N.S.2
  • 13
    • 1842471029 scopus 로고    scopus 로고
    • Locking-free stabilized conforming nodal integration for mesh free Mindlin-Reissner plate formulation
    • Wang D, Chen JS. Locking-free stabilized conforming nodal integration for mesh free Mindlin-Reissner plate formulation. Computer Methods in Applied Mechanics and Engineering 2004; 193:1065-1083.
    • (2004) Computer Methods In Applied Mechanics and Engineering , vol.193 , pp. 1065-1083
    • Wang, D.1    Chen, J.S.2
  • 16
    • 77954762894 scopus 로고    scopus 로고
    • Gilbert M. Adaptive Element-Free Galerkin method applied to the limit analysis of plates
    • DOI: 10.1016/j.cma
    • Le CV, Askes H, Gilbert M. Adaptive Element-Free Galerkin method applied to the limit analysis of plates. Computer Methods in Applied Mechanics and Engineering 2009; DOI: 10.1016/j.cma.2010.04.004.
    • (2010) Computer Methods In Applied Mechanics and Engineering date 2009; , vol.4 , pp. 004
    • Le, C.V.1    Askes, H.2
  • 18
    • 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
  • 22
    • 33846537489 scopus 로고    scopus 로고
    • Free and forced vibration analysis using the smoothed finite element method (SFEM)
    • Dai KY, Liu GR. Free and forced vibration analysis using the smoothed finite element method (SFEM). Journal of Sound and Vibration 2007; 301:803-820.
    • (2007) Journal of Sound and Vibration , vol.301 , pp. 803-820
    • Dai, K.Y.1    Liu, G.R.2
  • 26
    • 69749112147 scopus 로고    scopus 로고
    • A stabilized smoothed finite element method for free vibration analysis of Mindlin-Reissner plates
    • Nguyen-Xuan H, Nguyen-Thoi T. A stabilized smoothed finite element method for free vibration analysis of Mindlin-Reissner plates. Communications in Numerical Methods in Engineering 2009; 25:882-906.
    • (2009) Communications In Numerical Methods In Engineering , vol.25 , pp. 882-906
    • Nguyen-Xuan, H.1    Nguyen-Thoi, T.2
  • 28
    • 56049099546 scopus 로고    scopus 로고
    • A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems
    • Liu GR, Nguyen-Thoi T, Nguyen-Xuan H, Lam KY. A node-based smoothed finite element method (NS-FEM) 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-Thoi, T.2    Nguyen-Xuan, H.3    Lam, K.Y.4
  • 29
    • 59349084912 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids
    • Liu GR, Nguyen-Thoi T, Lam KY. An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. 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-Thoi, T.2    Lam, K.Y.3
  • 30
    • 68549085478 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for analysis of two-dimensional piezoelectric structures
    • 12. 065015
    • Nguyen-Xuan H, Liu GR, Nguyen-Thoi T, Nguyen Tran C. An edge-based smoothed finite element method (ES-FEM) for analysis of two-dimensional piezoelectric structures. Journal of Smart Material and Structures 2009; 12:12. 065015.
    • (2009) Journal of Smart Material and Structures , vol.12
    • Nguyen-Xuan, H.1    Liu, G.R.2    Nguyen-Thoi, T.3    Tran, N.C.4
  • 31
    • 64049100075 scopus 로고    scopus 로고
    • A face-based smoothed finite element method (FS-FEM) for 3D linear and nonlinear solid mechanics problems using 4-node tetrahedral elements
    • Nguyen-Thoi T, Liu GR, Lam KY, Zhang GY. A face-based smoothed finite element method (FS-FEM) for 3D linear and nonlinear solid mechanics problems using 4-node tetrahedral elements. International Journal for Numerical Methods in Engineering 2009; 78:324-353.
    • (2009) International Journal for Numerical Methods in Engineering , vol.78 , pp. 324-353
    • Nguyen-Thoi, T.1    Liu, G.R.2    Lam, K.Y.3    Zhang, G.Y.4
  • 33
    • 44949281272 scopus 로고
    • A general algorithm for limit solutions of plane stress problems
    • Huh H, Yang WH. A general algorithm for limit solutions of plane stress problems. Journal of Solids and Structures 1991; 28:727-738.
    • (1991) Journal of Solids and Structures , vol.28 , pp. 727-738
    • Huh, H.1    Yang, W.H.2
  • 35
    • 0344731211 scopus 로고    scopus 로고
    • A general algorithm for plastic flow simulation by finite element limit analysis
    • Huh H, Lee CH, Yang WH. A general algorithm for plastic flow simulation by finite element limit analysis. Journal of Solids and Structures 1999; 36:1193-1207.
    • (1999) Journal of Solids and Structures , vol.36 , pp. 1193-1207
    • Huh, H.1    Lee, C.H.2    Yang, W.H.3
  • 40
    • 0348006618 scopus 로고    scopus 로고
    • On implementing a primal-dual interior-point method for conic quadratic programming
    • Andersen ED, Roos C, Terlaky T. On implementing a primal-dual interior-point method for conic quadratic programming. Mathematical Programming 2003; 95:249-277.
    • (2003) Mathematical Programming , vol.95 , pp. 249-277
    • Andersen, E.D.1    Roos, C.2    Terlaky, T.3
  • 41
    • 77956097186 scopus 로고    scopus 로고
    • Mosek. The MOSEK optimization toolbox for MATLAB manual. Mosek ApS, Version 5.0 Edition
    • Mosek. The MOSEK optimization toolbox for MATLAB manual. Mosek ApS, Version 5.0 Edition, 2009. Available from: http://www.mosek.com.
    • (2009)
  • 44
    • 70350763849 scopus 로고    scopus 로고
    • Upper and lower bound limit analysis of plates using FEM and second-order cone programming
    • Le CV, Nguyen-Xuan H, Nguyen-Dang H. Upper and lower bound limit analysis of plates using FEM and second-order cone programming. Computers and Structures 2010; 88:65-73.
    • (2010) Computers and Structures , vol.88 , pp. 65-73
    • Le, C.V.1    Nguyen-Xuan, H.2    Nguyen-Dang, H.3
  • 48
    • 2942541189 scopus 로고
    • Shakedown analysis by displacement method and equilibrium finite elements
    • Berlin, L3/3
    • Nguyen-Dang H, Palgen L. Shakedown analysis by displacement method and equilibrium finite elements. Proceedings of SMIRT-5, Berlin, 1979; L3/3.
    • (1979) Proceedings of SMIRT-5
    • Nguyen-Dang, H.1    Palgen, L.2
  • 49
    • 0031126445 scopus 로고    scopus 로고
    • On the numerical assessment of the safety factor of elasto-plastic structures under variable loading
    • Gross-Weege J. On the numerical assessment of the safety factor of elasto-plastic structures under variable loading. International Journal of Mechanical Sciences 1997; 39:417-433.
    • (1997) International Journal of Mechanical Sciences , vol.39 , pp. 417-433
    • Gross-Weege, J.1
  • 50
    • 2942518253 scopus 로고    scopus 로고
    • Numerical determination of limit loads of three-dimensional structures using boundary element method
    • Liu Y, Zhang X, Cen Z. Numerical determination of limit loads of three-dimensional structures using boundary element method. European Journal of Mechanics-A/Solids 2004; 23:127-138.
    • (2004) European Journal of Mechanics-A/Solids , vol.23 , pp. 127-138
    • Liu, Y.1    Zhang, X.2    Cen, Z.3
  • 52
    • 0000417619 scopus 로고
    • A theoretical investigation of the yield-point loading of a square plate with a central circular hole
    • Gaydon FA, McCrum AW. A theoretical investigation of the yield-point loading of a square plate with a central circular hole. Journal of Mechanics and Physics of Solids 1954; 2:156-169.
    • (1954) Journal of Mechanics and Physics of Solids , vol.2 , pp. 156-169
    • Gaydon, F.A.1    McCrum, A.W.2
  • 59
    • 0026191397 scopus 로고
    • Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
    • Belytschko T, Bindeman LP. Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems. Computer Methods in Applied Mechanics and Engineering 1993; 88:311-340.
    • (1993) Computer Methods In Applied Mechanics and Engineering , vol.88 , pp. 311-340
    • Belytschko, T.1    Bindeman, L.P.2
  • 61
    • 36348967811 scopus 로고    scopus 로고
    • Application of discontinuity layout optimization to plane plasticity problems
    • Smith CC, Gilbert M. Application of discontinuity layout optimization to plane plasticity problems. Proceedings of the Royal Society A 2007; 463:2461-2484.
    • (2007) Proceedings of The Royal Society A , vol.463 , pp. 2461-2484
    • Smith, C.C.1    Gilbert, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.