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Volumn 68, Issue 6, 2006, Pages 605-631

Asymptotic numerical methods for unilateral contact

Author keywords

Finite element; Lagrange; Multipliers; Pad approximants; Perturbation technique; Prediction correction

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; PERTURBATION TECHNIQUES;

EID: 33750328835     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1714     Document Type: Article
Times cited : (26)

References (39)
  • 1
    • 0020098584 scopus 로고
    • A smoothing technique for reduced integration penalty methods in contact problems
    • Kikuchi N. A smoothing technique for reduced integration penalty methods in contact problems. International Journal for Numerical Methods in Engineering 1982; 18:343-350.
    • (1982) International Journal for Numerical Methods in Engineering , vol.18 , pp. 343-350
    • Kikuchi, N.1
  • 4
    • 0032143149 scopus 로고    scopus 로고
    • A Lagrange multiplier method for the finite element solution of frictionless contact problems
    • Papadopoulos P, Solberg JM. A Lagrange multiplier method for the finite element solution of frictionless contact problems. Mathematical and Computer Modelling 1998; 28(4-8):373-384.
    • (1998) Mathematical and Computer Modelling , vol.28 , Issue.4-8 , pp. 373-384
    • Papadopoulos, P.1    Solberg, J.M.2
  • 5
    • 0026255347 scopus 로고
    • A mixed formulation for frictional contact problems prone to Newton like solution methods
    • Alart P, Curnier A. A mixed formulation for frictional contact problems prone to Newton like solution methods. Computer Methods in Applied Mechanics and Engineering 1991; 92:353-375.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.92 , pp. 353-375
    • Alart, P.1    Curnier, A.2
  • 7
    • 0026626125 scopus 로고
    • An augmented Lagrangian treatment of contact problems involving friction
    • Simo JC, Laursen TA. An augmented Lagrangian treatment of contact problems involving friction. Computers and Structures 1992; 42(1):97-116.
    • (1992) Computers and Structures , vol.42 , Issue.1 , pp. 97-116
    • Simo, J.C.1    Laursen, T.A.2
  • 9
    • 0026417299 scopus 로고
    • Derivatives of tangential stiffness matrices for equilibrium path descriptions
    • Eriksson A. Derivatives of tangential stiffness matrices for equilibrium path descriptions. International Journal for Numerical Methods in Engineering 1991; 32:1093-1113.
    • (1991) International Journal for Numerical Methods in Engineering , vol.32 , pp. 1093-1113
    • Eriksson, A.1
  • 10
    • 0000150832 scopus 로고
    • A path-following algorithm with quadratic predictor
    • Wagner W. A path-following algorithm with quadratic predictor. Computers and Structures 1991; 39:339-384.
    • (1991) Computers and Structures , vol.39 , pp. 339-384
    • Wagner, W.1
  • 12
    • 0000279654 scopus 로고
    • The asymptotic-numerical method: An efficient perturbation technique for non-linear structural mechanics
    • Cochelin B, Damil N, Potier-Ferry M. The asymptotic-numerical method: an efficient perturbation technique for non-linear structural mechanics. Revue Européenne des Eléments Finis 1994; 3(2):281-297.
    • (1994) Revue Européenne Des Eléments Finis , vol.3 , Issue.2 , pp. 281-297
    • Cochelin, B.1    Damil, N.2    Potier-Ferry, M.3
  • 13
    • 0001989540 scopus 로고
    • An asymptotic-numerical method to compute bifurcating branches
    • In Ladevèze P, Zienkiewicz OC (eds). Elsevier Science Publishers: Amsterdam
    • Azrar L, Cochelin B, Damil N, Potier-Ferry M. An asymptotic-numerical method to compute bifurcating branches. In New Advances in Computational Structural Mechanics, Ladevèze P, Zienkiewicz OC (eds). Elsevier Science Publishers: Amsterdam, 1992; 117-131.
    • (1992) New Advances in Computational Structural Mechanics , pp. 117-131
    • Azrar, L.1    Cochelin, B.2    Damil, N.3    Potier-Ferry, M.4
  • 19
    • 0003950317 scopus 로고    scopus 로고
    • Simulation de la mise en forme à chaud par une méthode asymptotique numérique
    • Thesis, Université de Metz
    • Brunelot J. Simulation de la mise en forme à chaud par une méthode asymptotique numérique. Thesis, Université de Metz, 1999.
    • (1999)
    • Brunelot, J.1
  • 23
    • 33750353672 scopus 로고    scopus 로고
    • Modélisation du contact sans frottement par une méthode asymptotique numérique
    • Thesis, Université de Metz
    • Elhage-Hussein A. Modélisation du contact sans frottement par une méthode asymptotique numérique. Thesis, Université de Metz, 1998.
    • (1998)
    • Elhage-Hussein, A.1
  • 24
    • 33750329210 scopus 로고    scopus 로고
    • Nouveaux algorithmes asymptotiques numériques pour la résolution des problèmes de contact unilatéral
    • Thesis, Université de Metz
    • Aggoune W. Nouveaux algorithmes asymptotiques numériques pour la résolution des problèmes de contact unilatéral. Thesis, Université de Metz, 2003.
    • (2003)
    • Aggoune, W.1
  • 27
    • 0028763617 scopus 로고
    • A path-following technique via an asymptotic-numerical method
    • Cochelin B. A path-following technique via an asymptotic-numerical method. Computers and Structures 1994; 53(5):1181-1192.
    • (1994) Computers and Structures , vol.53 , Issue.5 , pp. 1181-1192
    • Cochelin, B.1
  • 35
    • 0345016432 scopus 로고    scopus 로고
    • A new steplength control for continuation with the asymptotic numerical method
    • Gervais JJ, Sadiky H. A new steplength control for continuation with the asymptotic numerical method. IMA Journal of Numerical Analysis 2002; 22(2):207-229.
    • (2002) IMA Journal of Numerical Analysis , vol.22 , Issue.2 , pp. 207-229
    • Gervais, J.J.1    Sadiky, H.2
  • 38
    • 33750377366 scopus 로고    scopus 로고
    • Calcul non-linéaire des structures par des méthodes asymptotiques numériques et accélération de la convergence
    • Thesis, Université Hassan II, Faculté des sciences Ben M'sik, Casablanca, Maroc
    • Najah A. Calcul non-linéaire des structures par des méthodes asymptotiques numériques et accélération de la convergence. Thesis, Université Hassan II, Faculté des sciences Ben M'sik, Casablanca, Maroc, 1997.
    • (1997)
    • Najah, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.