메뉴 건너뛰기




Volumn 199, Issue 45-48, 2010, Pages 3005-3027

A node-based smoothed finite element method (NS-FEM) for upper bound solution to visco-elastoplastic analyses of solids using triangular and tetrahedral meshes

Author keywords

Finite element method (FEM); Meshfree methods; Node based smoothed finite element method (NS FEM); Numerical methods; Upper bound; Visco elastoplastic analyses

Indexed keywords

ANALYTICAL SOLUTIONS; COMPUTATIONAL COSTS; DISPLACEMENTS AND STRESS; DUAL FORMULATIONS; ELASTO-PLASTIC ANALYSIS; FLOW RULES; ISOTROPIC HARDENINGS; LINEAR KINEMATICS; MATERIAL BEHAVIOR; MATRIX; MESH-FREE METHOD; NODE-BASED SMOOTHED FINITE ELEMENT METHODS; NUMERICAL PROCEDURES; NUMERICAL RESULTS; NUMERICAL SOLUTION; RELATIVE ERRORS; SOLID MECHANICS; STRESS VARIABLES; SYSTEM STIFFNESS; TETRAHEDRAL MESHES; UPPER BOUND; UPPER BOUND SOLUTION; YIELD FUNCTION;

EID: 78549234650     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.06.017     Document Type: Article
Times cited : (159)

References (37)
  • 1
    • 0035120922 scopus 로고    scopus 로고
    • A stabilized conforming nodal integration for Galerkin meshfree method
    • Chen J.S., Wu C.T., Yoon S., You Y. A stabilized conforming nodal integration for Galerkin meshfree method. Int. J. Numer. Methods Engrg. 2001, 50:435-466.
    • (2001) Int. J. Numer. Methods Engrg. , vol.50 , pp. 435-466
    • Chen, J.S.1    Wu, C.T.2    Yoon, S.3    You, Y.4
  • 3
    • 55949119340 scopus 로고    scopus 로고
    • Meshless methods: review and key computer implementation aspects
    • Nguyen V.P., Rabczuk T., Stephane Bordas, Duflot M. Meshless methods: review and key computer implementation aspects. Math. Comput. Simul. 2008, 79:763-813.
    • (2008) Math. Comput. Simul. , vol.79 , pp. 763-813
    • Nguyen, V.P.1    Rabczuk, T.2    Stephane, B.3    Duflot, M.4
  • 4
    • 33847275229 scopus 로고    scopus 로고
    • A smoothed finite element method for mechanics problems
    • Liu G.R., Dai K.Y., Nguyen-Thoi T. A smoothed finite element method for mechanics problems. Comput. Mech. 2007, 39:859-877.
    • (2007) Comput. Mech. , vol.39 , pp. 859-877
    • Liu, G.R.1    Dai, K.Y.2    Nguyen-Thoi, T.3
  • 6
    • 64049118985 scopus 로고    scopus 로고
    • On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM) (Letter to Editor)
    • Liu G.R., Nguyen-Thoi T., Nguyen-Xuan H., Dai K.Y., Lam K.Y. On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM) (Letter to Editor). Int. J. Numer. Methods Engrg. 2009, 77:1863-1869.
    • (2009) Int. J. Numer. Methods Engrg. , vol.77 , pp. 1863-1869
    • Liu, G.R.1    Nguyen-Thoi, T.2    Nguyen-Xuan, H.3    Dai, K.Y.4    Lam, K.Y.5
  • 7
    • 60949107516 scopus 로고    scopus 로고
    • On the smoothed finite element method (Short communication)
    • Zhang H.H., Liu S.J., Li L.X. On the smoothed finite element method (Short communication). Int. J. Numer. Methods Engrg. 2008, 76:1285-1295.
    • (2008) Int. J. Numer. Methods Engrg. , vol.76 , pp. 1285-1295
    • Zhang, H.H.1    Liu, S.J.2    Li, L.X.3
  • 8
    • 74249110831 scopus 로고    scopus 로고
    • On the approximation in the smoothed finite element method (SFEM) (Letter to Editor)
    • Stéphane P., Bordas A., Natarajan Sundararajan On the approximation in the smoothed finite element method (SFEM) (Letter to Editor). Int. J. Numer. Methods Engrg. 2010, 81:660-670.
    • (2010) Int. J. Numer. Methods Engrg. , vol.81 , pp. 660-670
    • Stéphane, P.1    Bordas, A.2    Natarajan, S.3
  • 10
    • 34548303950 scopus 로고    scopus 로고
    • An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics
    • Dai K.Y., Liu G.R., Nguyen-Thoi T. An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics. Finite Elem. Anal. Des. 2007, 43:847-860.
    • (2007) Finite Elem. Anal. Des. , vol.43 , pp. 847-860
    • Dai, K.Y.1    Liu, G.R.2    Nguyen-Thoi, T.3
  • 11
    • 33846537489 scopus 로고    scopus 로고
    • Free and forced analysis using the smoothed finite element method (SFEM)
    • Dai K.Y., Liu G.R. Free and forced analysis using the smoothed finite element method (SFEM). J. Sound Vib. 2007, 301:803-820.
    • (2007) J. Sound Vib. , vol.301 , pp. 803-820
    • Dai, K.Y.1    Liu, G.R.2
  • 13
    • 61749098548 scopus 로고    scopus 로고
    • Addressing volumetric locking and instabilities by selective integration in smoothed finite elements
    • Nguyen-Xuan H., Bordas S., Nguyen-Dang H. Addressing volumetric locking and instabilities by selective integration in smoothed finite elements. Int. J. Numer. Methods Biomed. Engrg. 2008, 25:19-34.
    • (2008) Int. J. Numer. Methods Biomed. Engrg. , vol.25 , pp. 19-34
    • Nguyen-Xuan, H.1    Bordas, S.2    Nguyen-Dang, H.3
  • 14
    • 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. Int. J. Numer. Methods Biomed. Engrg. 2009, 25:882-906.
    • (2009) Int. J. Numer. Methods Biomed. Engrg. , vol.25 , pp. 882-906
    • Nguyen-Xuan, H.1    Nguyen-Thoi, T.2
  • 15
    • 49149097115 scopus 로고    scopus 로고
    • A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells
    • Cui X.Y., Liu G.R., Li G.Y., Zhao X., Nguyen-Thoi T., Sun G.Y. A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells. CMES - Comput. Model. Engrg. Sci. 2008, 28(2):109-125.
    • (2008) CMES - Comput. Model. Engrg. Sci. , vol.28 , Issue.2 , pp. 109-125
    • Cui, X.Y.1    Liu, G.R.2    Li, G.Y.3    Zhao, X.4    Nguyen-Thoi, T.5    Sun, G.Y.6
  • 17
    • 39349113959 scopus 로고    scopus 로고
    • A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures
    • Nguyen-Van H., Mai-Duy N., Tran-Cong T. A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures. CMES - Comput. Model. Engrg. Sci. 2008, 23(3):209-222.
    • (2008) CMES - Comput. Model. Engrg. Sci. , vol.23 , Issue.3 , pp. 209-222
    • Nguyen-Van, H.1    Mai-Duy, N.2    Tran-Cong, T.3
  • 20
    • 56049099546 scopus 로고    scopus 로고
    • A node-based smoothed finite element method for upper bound solution to solid problems (NS-FEM)
    • Liu G.R., Nguyen-Thoi T., Nguyen-Xuan H., Lam K.Y. A node-based smoothed finite element method for upper bound solution to solid problems (NS-FEM). Comput. Struct. 2009, 87:14-26.
    • (2009) Comput. Struct. , vol.87 , pp. 14-26
    • Liu, G.R.1    Nguyen-Thoi, T.2    Nguyen-Xuan, H.3    Lam, K.Y.4
  • 21
    • 76449110036 scopus 로고    scopus 로고
    • Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems
    • Nguyen-Thoi T., Liu G.R., Nguyen-Xuan H. Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Int. J. Comput. Methods 2009, 6(4):633-666.
    • (2009) Int. J. Comput. Methods , vol.6 , Issue.4 , pp. 633-666
    • Nguyen-Thoi, T.1    Liu, G.R.2    Nguyen-Xuan, H.3
  • 23
    • 77954759871 scopus 로고    scopus 로고
    • Temporal stabilization of the Node-based Smoothed Finite Element Method (NS-FEM) and solution bound of linear elastostatics and vibration problems
    • Zhang Z.Q., Liu G.R. Temporal stabilization of the Node-based Smoothed Finite Element Method (NS-FEM) and solution bound of linear elastostatics and vibration problems. Comput. Mech. 2010, 46:229-246.
    • (2010) Comput. Mech. , vol.46 , pp. 229-246
    • Zhang, Z.Q.1    Liu, G.R.2
  • 24
    • 78549254620 scopus 로고    scopus 로고
    • A node-based smoothed finite element method (NS-FEM) using linear triangular elements for primal-dual limit and shakedown analyses of 2D structures, Comput. Methods Appl. Mech. Engrg, submitted for publication.
    • H. Nguyen-Xuan, T. Rabczuk, T. Nguyen-Thoi, T.N. Tran, N. Nguyen-Thanh, A node-based smoothed finite element method (NS-FEM) using linear triangular elements for primal-dual limit and shakedown analyses of 2D structures, Comput. Methods Appl. Mech. Engrg, submitted for publication.
    • Nguyen-Xuan, H.1    Rabczuk, T.2    Nguyen-Thoi, T.3    Tran, T.N.4    Nguyen-Thanh, N.5
  • 25
    • 59349084912 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids
    • Liu G.R., Nguyen-Thoi T., Lam K.Y. An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. J. Sound Vib. 2009, 320:1100-1130.
    • (2009) J. Sound Vib. , vol.320 , pp. 1100-1130
    • Liu, G.R.1    Nguyen-Thoi, T.2    Lam, K.Y.3
  • 26
    • 68549085478 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for analysis of two-dimensional piezoelectric structures
    • 065015
    • Nguyen-Xuan H., Liu G.R., Nguyen-Thoi T., Nguyen-Tran C. An edge-based smoothed finite element method (ES-FEM) for analysis of two-dimensional piezoelectric structures. Smart Mater. Struct. 2009, 18:065015. 12pp.
    • (2009) Smart Mater. Struct. , vol.18 , pp. 12
    • Nguyen-Xuan, H.1    Liu, G.R.2    Nguyen-Thoi, T.3    Nguyen-Tran, C.4
  • 27
    • 70349687592 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for visco-elastoplastic analyses in 2D solids using triangular mesh
    • Nguyen-Thoi T., Liu G.R., Vu-Do H.C., Nguyen-Xuan H. An edge-based smoothed finite element method (ES-FEM) for visco-elastoplastic analyses in 2D solids using triangular mesh. Comput. Mech. 2009, 45:23-44.
    • (2009) Comput. Mech. , vol.45 , pp. 23-44
    • Nguyen-Thoi, T.1    Liu, G.R.2    Vu-Do, H.C.3    Nguyen-Xuan, H.4
  • 28
    • 73649124249 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates
    • Nguyen-Xuan H., Liu G.R., Thai-Hoang C., Nguyen-Thoi T. An edge-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Comput. Methods Appl. Mech. Engrg. 2009, 199:471-489.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 471-489
    • Nguyen-Xuan, H.1    Liu, G.R.2    Thai-Hoang, C.3    Nguyen-Thoi, T.4
  • 29
    • 77951287432 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method for primal-dual shakedown analysis of structures
    • Ngoc Thanh Tran, Liu G.R., Nguyen-Xuan H., Nguyen-Thoi T. An edge-based smoothed finite element method for primal-dual shakedown analysis of structures. Int. J. Numer. Methods Engrg. 2010, 82:917-938.
    • (2010) Int. J. Numer. Methods Engrg. , vol.82 , pp. 917-938
    • Ngoc, T.T.1    Liu, G.R.2    Nguyen-Xuan, H.3    Nguyen-Thoi, T.4
  • 30
    • 71449110514 scopus 로고    scopus 로고
    • A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks
    • Chen L., Liu G.R., Nourbakhsh-Nia N., Zeng K. A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks. Comput. Mech. 2009, 10.1007/s00466-009-0422-3.
    • (2009) Comput. Mech.
    • Chen, L.1    Liu, G.R.2    Nourbakhsh-Nia, N.3    Zeng, K.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 G.R., Lam K.Y., Zhang G.Y. A Face-based Smoothed Finite Element Method (FS-FEM) for 3D linear and nonlinear solid mechanics problems using 4-node tetrahedral elements. Int. J. Numer. Methods Engrg. 2009, 78:324-353.
    • (2009) Int. J. Numer. Methods Engrg. , vol.78 , pp. 324-353
    • Nguyen-Thoi, T.1    Liu, G.R.2    Lam, K.Y.3    Zhang, G.Y.4
  • 32
    • 69749121647 scopus 로고    scopus 로고
    • A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh
    • Nguyen-Thoi T., Liu G.R., Vu-Do H.C., Nguyen-Xuan H. A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh. Comput. Methods Appl. Mech. Engrg. 2009, 198:3479-3498.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 3479-3498
    • Nguyen-Thoi, T.1    Liu, G.R.2    Vu-Do, H.C.3    Nguyen-Xuan, H.4
  • 33
    • 47149112776 scopus 로고    scopus 로고
    • A novel Alpha Finite Element Method (αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements
    • Liu G.R., Nguyen-Thoi T., Lam K.Y. A novel Alpha Finite Element Method (αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements. Comput. Methods Appl. Mech. Engrg. 2008, 197:3883-3897.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 3883-3897
    • Liu, G.R.1    Nguyen-Thoi, T.2    Lam, K.Y.3
  • 34
    • 0036449674 scopus 로고    scopus 로고
    • Elastoviscoplastic Finite Element Analysis in 100 lines of Matlab
    • Carstensen C., Klose R. Elastoviscoplastic Finite Element Analysis in 100 lines of Matlab. J. Numer. Math. 2002, 10:157-192.
    • (2002) J. Numer. Math. , vol.10 , pp. 157-192
    • Carstensen, C.1    Klose, R.2
  • 35
    • 0001567874 scopus 로고
    • Computational plasticity: The variational basis and numerical analysis
    • Han W., Reddy B.D. Computational plasticity: The variational basis and numerical analysis. Comput. Mech. Adv. 1995, 2:283-400.
    • (1995) Comput. Mech. Adv. , vol.2 , pp. 283-400
    • Han, W.1    Reddy, B.D.2
  • 36
    • 0035910292 scopus 로고    scopus 로고
    • Averaging technique for FE-a posteriori error control in elasticity. Part 1: Conforming FEM
    • Carstensen C., Funken S.A. Averaging technique for FE-a posteriori error control in elasticity. Part 1: Conforming FEM. Comput. Methods Appl. Mech. Engrg. 2001, 190:2483-2498.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 2483-2498
    • Carstensen, C.1    Funken, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.