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Volumn 50, Issue 1, 2001, Pages 199-225

Multi-time-step explicit - Implicit method for non-linear structural dynamics

Author keywords

Dual schur domain decomposition method; Mixed method; Multi time step method; Non linear structural dynamics; Subcycling

Indexed keywords

INTERFACES (MATERIALS); LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PROBLEM SOLVING; STRUCTURAL ANALYSIS;

EID: 0035120942     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0207(20010110)50:1<199::AID-NME132>3.0.CO;2-A     Document Type: Article
Times cited : (244)

References (52)
  • 1
    • 0038847685 scopus 로고    scopus 로고
    • Modelisation des problèmes de contact-impact avec frottement en explicite par la méthode des multiplicateurs de Lagrange
    • Giens
    • Bonini J, Bung H. Modelisation des problèmes de contact-impact avec frottement en explicite par la méthode des multiplicateurs de Lagrange. 3ème Colloque National en Calcul des Structures. Giens, 1997; 411-416.
    • (1997) 3ème Colloque National en Calcul des Structures , pp. 411-416
    • Bonini, J.1    Bung, H.2
  • 5
    • 0039527819 scopus 로고
    • Explicit integration of structural problems
    • Bergen P, et al (eds)
    • Belytschko T, Mullen R. Explicit integration of structural problems. In Finite Elements in Nonlinear Mechanics, Bergen P, et al (eds), vol. 2, 1977; 697-720.
    • (1977) Finite Elements in Nonlinear Mechanics , vol.2 , pp. 697-720
    • Belytschko, T.1    Mullen, R.2
  • 7
    • 0017982090 scopus 로고
    • Implicit - Explicit finite elements in transient analysis: Implementation and numerical examples
    • Hughes TJR, Liu WK. Implicit - explicit finite elements in transient analysis: implementation and numerical examples. Journal of Applied Mechanics 1978; 45:375-378.
    • (1978) Journal of Applied Mechanics , vol.45 , pp. 375-378
    • Hughes, T.J.R.1    Liu, W.K.2
  • 8
    • 0017983276 scopus 로고
    • Implicit - Explicit finite elements in transient analysis: Stability theory
    • Hughes TJR, Liu WK. Implicit - explicit finite elements in transient analysis: stability theory. Journal of Applied Mechanics 1978; 45:371-374.
    • (1978) Journal of Applied Mechanics , vol.45 , pp. 371-374
    • Hughes, T.J.R.1    Liu, W.K.2
  • 9
    • 0020013934 scopus 로고
    • Mixed-time implicit - Explicit finite elements for transient analysis
    • Liu WK, Belytschko T. Mixed-time implicit - explicit finite elements for transient analysis. Computers and Structures 1982; 15:445-450.
    • (1982) Computers and Structures , vol.15 , pp. 445-450
    • Liu, W.K.1    Belytschko, T.2
  • 10
    • 0040032622 scopus 로고
    • Mixed finite element methods and iterative solutions: An algorithm for structural finite element analysis
    • Pineridge Press International Limited: Swansea, U.K.
    • Muller A, Hughes TJR. Mixed finite element methods and iterative solutions: an algorithm for structural finite element analysis. Proceedings of the International Conference on Innovative Methods for Nonlinear Problems, Pineridge Press International Limited: Swansea, U.K., 1984.
    • (1984) Proceedings of the International Conference on Innovative Methods for Nonlinear Problems
    • Muller, A.1    Hughes, T.J.R.2
  • 16
    • 0028406805 scopus 로고
    • A concurrent explicit - Implicit algorithm in structural dynamics
    • Sotelino ED. A concurrent explicit - implicit algorithm in structural dynamics. Computers and Structures 1994; 51(2):181-190.
    • (1994) Computers and Structures , vol.51 , Issue.2 , pp. 181-190
    • Sotelino, E.D.1
  • 18
    • 0020116770 scopus 로고
    • Stability of mixed time integration schemes for transient thermal analysis
    • Liu WK, Lin J. Stability of mixed time integration schemes for transient thermal analysis. Numerical Heat Transfer 1982; 5:211-222.
    • (1982) Numerical Heat Transfer , vol.5 , pp. 211-222
    • Liu, W.K.1    Lin, J.2
  • 22
    • 0033715326 scopus 로고    scopus 로고
    • Procedures for multi-time step integration of element-free Galerkin methods for diffusion problems
    • Smolinski P, Palmer T. Procedures for multi-time step integration of element-free Galerkin methods for diffusion problems. Computers and Structures 2000; 77:171-183.
    • (2000) Computers and Structures , vol.77 , pp. 171-183
    • Smolinski, P.1    Palmer, T.2
  • 23
    • 0030192828 scopus 로고    scopus 로고
    • Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations
    • Smolinski P, Sleith S, Belytschko T. Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations. Computational Mechanics 1996; 18:236-244.
    • (1996) Computational Mechanics , vol.18 , pp. 236-244
    • Smolinski, P.1    Sleith, S.2    Belytschko, T.3
  • 25
    • 0031209089 scopus 로고    scopus 로고
    • Analysis and implementation of a new constant acceleration subcycling algorithm
    • Daniel WJT. Analysis and implementation of a new constant acceleration subcycling algorithm. International Journal for Numerical Methods in Engineering 1997; 40:2841-2855.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 2841-2855
    • Daniel, W.J.T.1
  • 27
    • 14344280342 scopus 로고    scopus 로고
    • Méthode multi-échelles en temps avec décomposition de domaines pour la dynamique non-linéaire des structures
    • Giens, France
    • Combescure A, Gravouil A. Méthode multi-échelles en temps avec décomposition de domaines pour la dynamique non-linéaire des structures. Congrés National de Mécanique, Giens, France, 1999.
    • (1999) Congrés National de Mécanique
    • Combescure, A.1    Gravouil, A.2
  • 28
    • 0025530340 scopus 로고
    • Méthodes de résolution par sous-domaines en statique
    • Roux FX. Méthodes de résolution par sous-domaines en statique. La recherche Aérospatiale 1990; 1:37-48.
    • (1990) La Recherche Aérospatiale , vol.1 , pp. 37-48
    • Roux, F.X.1
  • 29
    • 84894209659 scopus 로고
    • A scalable Lagrange multiplier based domain decomposition method for time-dependent problems
    • Farhat C, Mandel C. A scalable Lagrange multiplier based domain decomposition method for time-dependent problems. International Journal for Numerical Methods in Engineering 1995; 38:3831-3853.
    • (1995) International Journal for Numerical Methods in Engineering , vol.38 , pp. 3831-3853
    • Farhat, C.1    Mandel, C.2
  • 31
    • 0027224181 scopus 로고
    • On the spectral stability of time integration algorithms for a class of constrained dynamics problems
    • Farhat C, Crivelli L, Géradin M. On the spectral stability of time integration algorithms for a class of constrained dynamics problems. AIAA 34th Structural Dynamics Meeting, 1993.
    • (1993) AIAA 34th Structural Dynamics Meeting
    • Farhat, C.1    Crivelli, L.2    Géradin, M.3
  • 32
    • 0040032620 scopus 로고
    • Algorithmes adaptés aux calculs vectoriels et parallèles pour des méthodes de décomposition de domaine
    • Pluralis
    • Ladevèze J. Algorithmes adaptés aux calculs vectoriels et parallèles pour des méthodes de décomposition de domaine. Actes du Troisième Colloque Tendances Actuelles en Calcul des Structures, Pluralis, 1985; 893-907.
    • (1985) Actes du Troisième Colloque Tendances Actuelles en Calcul des Structures , pp. 893-907
    • Ladevèze, J.1
  • 34
    • 0038847684 scopus 로고
    • A large time increment approach with domain decomposition technique for mechanical non-linear problems
    • Ladevèze P, Lorong Ph. A large time increment approach with domain decomposition technique for mechanical non-linear problems. Computer Methods in Applied Science and Engineering 1992; 569-578.
    • (1992) Computer Methods in Applied Science and Engineering , pp. 569-578
    • Ladevèze, P.1    Lorong, P.2
  • 37
    • 0008137648 scopus 로고    scopus 로고
    • Domain decomposition methods for the solution of non-linear problems in solid mechanics
    • Civil-Comp Press: Edinburgh
    • Meynen S. Domain decomposition methods for the solution of non-linear problems in solid mechanics. In Advances in Computational Mechanics with High Performance Computing. Civil-Comp Press: Edinburgh, 1998; 87-94.
    • (1998) Advances in Computational Mechanics with High Performance Computing , pp. 87-94
    • Meynen, S.1
  • 40
    • 0002689020 scopus 로고
    • A method of computation for structural dynamics
    • Newmark MN. A method of computation for structural dynamics. Proceedings ASCE 85, EM3, 1959.
    • (1959) Proceedings ASCE 85, EM3
    • Newmark, M.N.1
  • 42
    • 84985773372 scopus 로고
    • A new look at the Newmark, Houbolt and other time stepping formulas. A weighted residual approach
    • Zienkiewicz OC. A new look at the Newmark, Houbolt and other time stepping formulas. A weighted residual approach. Earthquake Engineering and Structural Dynamics 1977; 5:413-418.
    • (1977) Earthquake Engineering and Structural Dynamics , vol.5 , pp. 413-418
    • Zienkiewicz, O.C.1
  • 45
    • 0028762823 scopus 로고
    • On a component mode synthesis method and its application to incompatible substructures
    • Farhat C, Géradin M. On a component mode synthesis method and its application to incompatible substructures. Computers and Structures 1994; 51:459-473.
    • (1994) Computers and Structures , vol.51 , pp. 459-473
    • Farhat, C.1    Géradin, M.2
  • 47
    • 0020867155 scopus 로고
    • Analysis of transient algorithms with particular reference to stability behavior
    • Belytschko T, Hughes TJR (eds). North-Holland: Amsterdam
    • Hughes TJR. Analysis of transient algorithms with particular reference to stability behavior. In Computational Methods for Transient Analysis, Belytschko T, Hughes TJR (eds). North-Holland: Amsterdam, 1983; 67-155.
    • (1983) Computational Methods for Transient Analysis , pp. 67-155
    • Hughes, T.J.R.1
  • 48
    • 0022678405 scopus 로고
    • An analysis of a new class of integration algorithms for elastoplastic constitutive relations
    • Ortiz M, Simo JC. An analysis of a new class of integration algorithms for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering 1986; 23:353-366.
    • (1986) International Journal for Numerical Methods in Engineering , vol.23 , pp. 353-366
    • Ortiz, M.1    Simo, J.C.2
  • 51
    • 60549092445 scopus 로고
    • CASTEM 2000 une approche moderne du calcul des structures
    • Fouet JM, Ladevèze P, Ohayon R (eds). Pluralis
    • Verpeaux P, Charras T, Millard A. CASTEM 2000 une approche moderne du calcul des structures. In Calcul des structures et intelligence artificielle, Fouet JM, Ladevèze P, Ohayon R (eds). Pluralis, 1988; 261-271.
    • (1988) Calcul des Structures et Intelligence Artificielle , pp. 261-271
    • Verpeaux, P.1    Charras, T.2    Millard, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.