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Volumn 77, Issue 10, 2009, Pages 1468-1500

A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems

Author keywords

Contact; Energy conserving; Finite element method; Mortar method; Solids; Time integration

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ENERGY CONSERVATION; LAGRANGE MULTIPLIERS; MORTAR; PLASTER;

EID: 60949108081     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2466     Document Type: Article
Times cited : (77)

References (35)
  • 1
    • 0003014117 scopus 로고    scopus 로고
    • Time integration and discrete Hamiltonian systems
    • Gonzalez O. Time integration and discrete Hamiltonian systems. Journal of Nonlinear Sciences 1996; 6:449-467.
    • (1996) Journal of Nonlinear Sciences , vol.6 , pp. 449-467
    • Gonzalez, O.1
  • 2
    • 0008582162 scopus 로고    scopus 로고
    • Mechanical systems subject to holonomic constraints: Differential-algebraic formulations and conservative integration
    • Gonzalez O. Mechanical systems subject to holonomic constraints: differential-algebraic formulations and conservative integration. Physica D 1999; 132:165-174.
    • (1999) Physica D , vol.132 , pp. 165-174
    • Gonzalez, O.1
  • 3
    • 79956148679 scopus 로고    scopus 로고
    • Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method
    • eds, IUTAM Bookseries, Springer: Berlin
    • Betsch P, Hesch C. Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method. In IUTAM Symposium on Computational Methods in Contact Mechanics, Wriggers P, Nackenhorst U (eds). IUTAM Bookseries, vol. 3. Springer: Berlin, 2007; 77-96.
    • (2007) IUTAM Symposium on Computational Methods in Contact Mechanics , vol.3 , pp. 77-96
    • Betsch, P.1    Hesch, C.2
  • 10
    • 21544478861 scopus 로고    scopus 로고
    • Frictionless 2d contact formulations for finite deformations based on the mortar method
    • Fischer KA, Wriggers P. Frictionless 2d contact formulations for finite deformations based on the mortar method. Computational Mechanics 2005; 36:226-244.
    • (2005) Computational Mechanics , vol.36 , pp. 226-244
    • Fischer, K.A.1    Wriggers, P.2
  • 11
    • 33846284483 scopus 로고    scopus 로고
    • A fast and robust iterative solver for nonlinear contact problems using a primal-dual active set strategy and algebraic multigrid
    • Brunssen S, Schmid F, Schäfer M, Wohlmuth B. A fast and robust iterative solver for nonlinear contact problems using a primal-dual active set strategy and algebraic multigrid. International Journal for Numerical Methods in Engineering 2007; 69:524-543.
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , pp. 524-543
    • Brunssen, S.1    Schmid, F.2    Schäfer, M.3    Wohlmuth, B.4
  • 15
    • 38849155239 scopus 로고    scopus 로고
    • The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics
    • Leyendecker S, Betsch P, Steinmann P. The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: flexible multibody dynamics. Multibody System Dynamics 2008; 19(1-2):45-72.
    • (2008) Multibody System Dynamics , vol.19 , Issue.1-2 , pp. 45-72
    • Leyendecker, S.1    Betsch, P.2    Steinmann, P.3
  • 17
    • 0032496552 scopus 로고    scopus 로고
    • Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems
    • Armero F, Petöcz E. Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems. Computer Methods in Applied Mechanics and Engineering 1998; 158:269-300.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.158 , pp. 269-300
    • Armero, F.1    Petöcz, E.2
  • 18
    • 0037137831 scopus 로고    scopus 로고
    • Improved implicit integrators for transient impact problems - geometric admissibility within the conserving framework
    • Laursen TA, Love GR. Improved implicit integrators for transient impact problems - geometric admissibility within the conserving framework. International Journal for Numerical Methods in Engineering 2002; 53:245-274.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 245-274
    • Laursen, T.A.1    Love, G.R.2
  • 19
    • 33744902898 scopus 로고    scopus 로고
    • Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact
    • Hauret P, Le Tallec P. Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact. Computer Methods in Applied Mechanics and Engineering 2006; 195:4890-4916.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 4890-4916
    • Hauret, P.1    Le Tallec, P.2
  • 20
    • 34548291013 scopus 로고    scopus 로고
    • A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements
    • Haikal G, Hjelmstad KD. A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements. Computer Methods in Applied Mechanics and Engineering 2007; 196:4690-4711.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , pp. 4690-4711
    • Haikal, G.1    Hjelmstad, K.D.2
  • 27
    • 34249830447 scopus 로고
    • The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
    • ZAMP
    • Simo JC, Tarnow N. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics. Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 1992; 43:757-792.
    • (1992) Zeitschrift für Angewandte Mathematik und Physik , vol.43 , pp. 757-792
    • Simo, J.C.1    Tarnow, N.2
  • 28
    • 25444502638 scopus 로고    scopus 로고
    • The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints
    • Betsch P. The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: holonomic constraints. Computer Methods in Applied Mechanics and Engineering 2005; 194:5159-5190.
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , pp. 5159-5190
    • Betsch, P.1
  • 29
    • 20044390432 scopus 로고    scopus 로고
    • Numerical solution of saddle point problems
    • Benzi M, Golub GH, Liesen J. Numerical solution of saddle point problems. Acta Numerica 2005; 14:1-137.
    • (2005) Acta Numerica , vol.14 , pp. 1-137
    • Benzi, M.1    Golub, G.H.2    Liesen, J.3
  • 30
    • 0034484364 scopus 로고    scopus 로고
    • Nonconforming domain decomposition techniques for linear elasticity
    • Krause R, Wohlmuth BI. Nonconforming domain decomposition techniques for linear elasticity. East-West Journal of Numerical Mathematics 2000; 8(3):177-206.
    • (2000) East-West Journal of Numerical Mathematics , vol.8 , Issue.3 , pp. 177-206
    • Krause, R.1    Wohlmuth, B.I.2
  • 31
    • 0035964630 scopus 로고    scopus 로고
    • Essential boundary conditions and multi-point constraints in finite element analysis
    • Ainsworth M. Essential boundary conditions and multi-point constraints in finite element analysis. Computer Methods in Applied Mechanics and Engineering 2001; 190:6323-6339.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 6323-6339
    • Ainsworth, M.1
  • 32
    • 36849031274 scopus 로고    scopus 로고
    • Modelling unilateral frictionless contact using the null-space method and cubic B-spline interpolation
    • Muñoz JJ. Modelling unilateral frictionless contact using the null-space method and cubic B-spline interpolation. Computer Methods in Applied Mechanics and Engineering 2008; 197:979-993.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 979-993
    • Muñoz, J.J.1
  • 35
    • 0025592015 scopus 로고
    • Finite element formulations of large deformation impact-contact problems with friction
    • Wriggers P, Van TV, Stein E. Finite element formulations of large deformation impact-contact problems with friction. Computers and Structures 1990; 37:319-331.
    • (1990) Computers and Structures , vol.37 , pp. 319-331
    • Wriggers, P.1    Van, T.V.2    Stein, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.