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Volumn 86, Issue 11, 2011, Pages 1277-1302

Energy-momentum consistent algorithms for dynamic thermomechanical problems-Application to mortar domain decomposition problems

Author keywords

Coupled problems; Domain decomposition; Energy momentum; Mortar method; Thermodynamics; Time integration

Indexed keywords

COUPLED PROBLEMS; DOMAIN DECOMPOSITION; ENERGY MOMENTUM; MORTAR METHOD; TIME INTEGRATION;

EID: 79955620191     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3095     Document Type: Article
Times cited : (32)

References (29)
  • 1
    • 0031295353 scopus 로고    scopus 로고
    • Theoretical and numerical aspects in the thermo-viscoelastic material behaviour of rubber-like polymers
    • Reese S, Govindjee S. Theoretical and numerical aspects in the thermo-viscoelastic material behaviour of rubber-like polymers. Mechanics of Time-Dependent Materials 1998 1:357-396.
    • (1998) Mechanics of Time-Dependent Materials , vol.1 , pp. 357-396
    • Reese, S.1    Govindjee, S.2
  • 2
    • 0029251067 scopus 로고
    • Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation
    • Miehe C. Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Computer Methods in Applied Mechanics and Engineering 1995; 120:243-269.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.120 , pp. 243-269
    • Miehe, C.1
  • 3
    • 0026170491 scopus 로고
    • Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity
    • Simo JC. Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity. Computer Methods in Applied Mechanics and Engineering 1990; 88:111-131.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.88 , pp. 111-131
    • Simo, J.C.1
  • 5
    • 0034509896 scopus 로고    scopus 로고
    • Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
    • Gonzalez O. Exact energy and momentum conserving algorithms for general models in nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering 2000; 190:1763-1783.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 1763-1783
    • Gonzalez, O.1
  • 6
    • 0035045872 scopus 로고    scopus 로고
    • Conserving properties of a time FE method-Part II: time-stepping schemes for non-linear elastodynamics
    • Betsch P, Steinmann P. Conserving properties of a time FE method-Part II: time-stepping schemes for non-linear elastodynamics. International Journal for Numerical Methods in Engineering 2001; 50:1931-1955.
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , pp. 1931-1955
    • Betsch, P.1    Steinmann, P.2
  • 7
    • 0037051754 scopus 로고    scopus 로고
    • Conservation properties of a time FE method-Part III: mechanical systems with holonomic constraints
    • Betsch P, Steinmann P. Conservation properties of a time FE method-Part III: mechanical systems with holonomic constraints. International Journal for Numerical Methods in Engineering 2002; 53:2271-2304.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 2271-2304
    • Betsch, P.1    Steinmann, P.2
  • 8
    • 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
  • 9
    • 79956148679 scopus 로고    scopus 로고
    • Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method
    • IUTAM Book Series, Wriggers P, Nackenhorst U (eds), 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, IUTAM Book Series, Wriggers P, Nackenhorst U (eds), 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
    • 60949108081 scopus 로고    scopus 로고
    • A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems
    • Hesch C, Betsch P. A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems. International Journal for Numerical Methods in Engineering 2009; 77:1468-1500.
    • (2009) International Journal for Numerical Methods in Engineering , vol.77 , pp. 1468-1500
    • Hesch, C.1    Betsch, P.2
  • 11
    • 68549115222 scopus 로고    scopus 로고
    • Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems
    • Romero I. Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems. International Journal for Numerical Methods in Engineering 2009; 79:706-732.
    • (2009) International Journal for Numerical Methods in Engineering , vol.79 , pp. 706-732
    • Romero, I.1
  • 12
    • 77952551411 scopus 로고    scopus 로고
    • Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics-Part I: monolithic integrators and their application to finite strain thermoelasticity
    • Romero I. Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics-Part I: monolithic integrators and their application to finite strain thermoelasticity. Computer Methods in Applied Mechanics and Engineering 2010; 199:1841-1858.
    • (2010) Computer Methods in Applied Mechanics and Engineering , vol.199 , pp. 1841-1858
    • Romero, I.1
  • 13
    • 79955625165 scopus 로고    scopus 로고
    • Higher-order accurate and energy-momentum consistent discretisation of dynamic finite deformation thermo-viscoelasticity. University of Siegen, urn:nbn:de:hbz:467-3890
    • Gross M. Higher-order accurate and energy-momentum consistent discretisation of dynamic finite deformation thermo-viscoelasticity. University of Siegen, urn:nbn:de:hbz:467-3890, 2009.
    • (2009)
    • Gross, M.1
  • 14
    • 0003014117 scopus 로고    scopus 로고
    • Time integration and discrete hamiltonian systems
    • Gonzalez O. Time integration and discrete hamiltonian systems. Journal of Nonlinear Science 1996; 6:449-467.
    • (1996) Journal of Nonlinear Science , vol.6 , pp. 449-467
    • Gonzalez, O.1
  • 15
    • 77950009195 scopus 로고    scopus 로고
    • Transient 3d domain decomposition problems: frame-indifferent mortar constraints and conserving integration
    • Hesch C, Betsch P. Transient 3d domain decomposition problems: frame-indifferent mortar constraints and conserving integration. International Journal for Numerical Methods in Engineering 2010; 82:329-358.
    • (2010) International Journal for Numerical Methods in Engineering , vol.82 , pp. 329-358
    • Hesch, C.1    Betsch, P.2
  • 17
    • 0002336587 scopus 로고
    • A new nonconforming approch to domain decomposition: the mortar element method
    • Brezis H, Lions J-L (eds). Longman Scientific & Technical: Harlow, U.K.
    • Bernardi C, Maday Y, Patera AT. A new nonconforming approch to domain decomposition: the mortar element method. In Nonlinear Partial Differential Equations and their Applications, Brezis H, Lions J-L (eds). Longman Scientific & Technical: Harlow, U.K., 1994; 13-51.
    • (1994) Nonlinear Partial Differential Equations and their Applications , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 18
    • 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
  • 24
    • 61849088899 scopus 로고    scopus 로고
    • On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics
    • Betsch P, Sänger N. On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics. Computer Methods in Applied Mechanics and Engineering 2009; 198:1609-1630.
    • (2009) Computer Methods in Applied Mechanics and Engineering , vol.198 , pp. 1609-1630
    • Betsch, P.1    Sänger, N.2
  • 25
    • 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
  • 26
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo JC, Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering 1992; 33:1413-1449.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 27
    • 0027847564 scopus 로고
    • Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
    • Simo JC, Armero F, Taylor RL. Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Computer Methods in Applied Mechanics and Engineering 1993; 110:359-386.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.110 , pp. 359-386
    • Simo, J.C.1    Armero, F.2    Taylor, R.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.