메뉴 건너뛰기




Volumn 59, Issue 1, 2004, Pages 83-114

An energy-momentum conserving algorithm for non-linear hypoelastic constitutive models

Author keywords

Dynamics; Energy momentum conserving; Finite elements; Hypoelastic constitutive model; Large strain plasticity

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; PLASTIC DEFORMATION;

EID: 0347300675     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.869     Document Type: Article
Times cited : (26)

References (50)
  • 1
    • 0002689020 scopus 로고
    • A method of computation for structural dynamics
    • ASCE
    • Newmark N. A method of computation for structural dynamics. Journal of the Engineering Mechanics Division (ASCE) 1959; 85(EM3):67-94.
    • (1959) Journal of the Engineering Mechanics Division , vol.85 , Issue.EM3 , pp. 67-94
    • Newmark, N.1
  • 6
    • 0016650358 scopus 로고
    • On the unconditional stability of an implicit algorithm for non-linear structural dynamics
    • Belytschko T, Schoeberle DF. On the unconditional stability of an implicit algorithm for non-linear structural dynamics. Journal of Applied Mechanics 1975; 42:865-869.
    • (1975) Journal of Applied Mechanics , vol.42 , pp. 865-869
    • Belytschko, T.1    Schoeberle, D.F.2
  • 7
    • 84985409648 scopus 로고
    • A note on the stability of Newmark's algorithm in nonlinear structural dynamics
    • Hughes TJR. A note on the stability of Newmark's algorithm in nonlinear structural dynamics. International Journal for Numerical Methods in Engineering 1977; 11(2):383-386.
    • (1977) International Journal for Numerical Methods in Engineering , vol.11 , Issue.2 , pp. 383-386
    • Hughes, T.J.R.1
  • 9
    • 0027610910 scopus 로고
    • A time integration algorithms for structural dynamics with improved numerical dissipations: The generalized-x method
    • Chung J, Hulbert GJM. A time integration algorithms for structural dynamics with improved numerical dissipations: the generalized-x method. Journal of Applied Mechanics 1993: 60:371-375.
    • (1993) Journal of Applied Mechanics , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.J.M.2
  • 12
    • 34249830447 scopus 로고
    • The discrete energy-momentum method conserving algorithms for nonlinear elastodynamics
    • Simo JC, Tarnow N. The discrete energy-momentum method conserving algorithms for nonlinear elastodynamics. Zeitschrift für Angewandte Mathematik and Physik (ZAMP) 1992; 43:757-792.
    • (1992) Zeitschrift für Angewandte Mathematik and Physik (ZAMP) , vol.43 , pp. 757-792
    • Simo, J.C.1    Tarnow, N.2
  • 13
    • 0003018783 scopus 로고
    • Recent results on the numerical integration of infinite-dimensional hamiltonian system
    • Hughes TJR. Onate E. Zienkiewicz OC (eds). CIMNE: Barcelona, Spain
    • Simo JC, Gonzalez O. Recent results on the numerical integration of infinite-dimensional hamiltonian system. In: Recent Developments in Finite Element Analysis, Hughes TJR. Onate E. Zienkiewicz OC (eds). CIMNE: Barcelona, Spain, 1994, pp. 255-271.
    • (1994) Recent Developments in Finite Element Analysis , pp. 255-271
    • Simo, J.C.1    Gonzalez, O.2
  • 15
    • 0031642213 scopus 로고    scopus 로고
    • An energy-conserving co-rotational procedure for the dynamics of shell structures
    • Zhong HG, Crisfield MA. An energy-conserving co-rotational procedure for the dynamics of shell structures. Engineering Computations l998; 15(5):552-576.
    • (1998) Engineering Computations , vol.15 , Issue.5 , pp. 552-576
    • Zhong, H.G.1    Crisfield, M.A.2
  • 17
    • 0036604701 scopus 로고    scopus 로고
    • An energy-momentum integration scheme and enhanced strain finite elements for non-linear dynamics of shells
    • Sansour C, Wagner W, Wriggers P, Sansour J. An energy-momentum integration scheme and enhanced strain finite elements for non-linear dynamics of shells. International Journal of Nonlinear Mechanics 2002; 37: 951-966.
    • (2002) International Journal of Nonlinear Mechanics , vol.37 , pp. 951-966
    • Sansour, C.1    Wagner, W.2    Wriggers, P.3    Sansour, J.4
  • 18
    • 0036494422 scopus 로고    scopus 로고
    • An energy conserving non-linear dynamic finite formulation for flexible composite laminates
    • Brank B. An energy conserving non-linear dynamic finite formulation for flexible composite laminates. Computers and Structures 2002: 80:677-689.
    • (2002) Computers and Structures , vol.80 , pp. 677-689
    • Brank, B.1
  • 20
    • 0035860181 scopus 로고    scopus 로고
    • A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics
    • Laursen T, Meng X. A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics. Computer Methods in Applied Mechanics and Engineering 2001; 190:6309-6322.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 6309-6322
    • Laursen, T.1    Meng, X.2
  • 21
    • 0030217555 scopus 로고    scopus 로고
    • On the stability of sympletic and energy-momentum algorithms for non-linear hamiltonian systems with symmetry
    • Gonzalez O, Simo JC. On the stability of sympletic and energy-momentum algorithms for non-linear hamiltonian systems with symmetry. Computer Methods in Applied Mechanics and Engineering 1996; 134:197-222.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.134 , pp. 197-222
    • Gonzalez, O.1    Simo, J.C.2
  • 22
    • 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
  • 24
    • 0032496552 scopus 로고    scopus 로고
    • Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems
    • Armero F, Petocz 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    Petocz, E.2
  • 25
    • 0033170339 scopus 로고    scopus 로고
    • A new dissipative time-stepping algorithm for frictional contact problems: Formulation and analysis
    • Armero F, Petocz E. A new dissipative time-stepping algorithm for frictional contact problems: formulation and analysis. Computer Methods in Applied Mechanics and Engineering 1999; 179:151-178.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.179 , pp. 151-178
    • Armero, F.1    Petocz, E.2
  • 30
    • 84893395063 scopus 로고    scopus 로고
    • High-frequency dissipative time-stepping algorithms for the dynamics of nonlinear shells
    • Brigeda G, Swález B. (eds). Proceedings of the Congress on Computational Methods in Applied Sciences and Engineering Oñate E, Barcelona, Spain
    • Romero I, Armero F. High-frequency dissipative time-stepping algorithms for the dynamics of nonlinear shells. In: ECCOMAS 2000, Proceedings of the Congress on Computational Methods in Applied Sciences and Engineering Oñate E, Brigeda G, Swález B. (eds). Barcelona, Spain, 2000.
    • (2000) ECCOMAS 2000
    • Romero, I.1    Armero, F.2
  • 31
    • 0035793225 scopus 로고    scopus 로고
    • On the formulation of high-frequency dissipative time-stepping algorithms for non-linear dynamics. Part I. Low-order methods for two model problems and nonlinear elastodynamics
    • Armero F, Romero I. On the formulation of high-frequency dissipative time-stepping algorithms for non-linear dynamics. part I. low-order methods for two model problems and nonlinear elastodynamics. Computer Methods in Applied Mechanics and Engineering 2001; 190:2603-2649.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 2603-2649
    • Armero, F.1    Romero, I.2
  • 32
    • 0035955568 scopus 로고    scopus 로고
    • On the formulation of high-frequency dissipative time-stepping algorithms for non-linear dynamics. Part II: Second-order methods
    • Armero F, Romero I. On the formulation of high-frequency dissipative time-stepping algorithms for non-linear dynamics. part II: second-order methods. Computer Methods in Applied Mechanics and Engineering 2001; 190:6783-6824.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 6783-6824
    • Armero, F.1    Romero, I.2
  • 33
    • 0037119515 scopus 로고    scopus 로고
    • Energy conserving/decaying implicit time-stepping scheme for non-linear dynamics of three-dimensional beams undergoing finite rotations
    • Ibrahimbegovic A. Mamouri S. Energy conserving/decaying implicit time-stepping scheme for non-linear dynamics of three-dimensional beams undergoing finite rotations. Computer Methods in Applied Mechanics and Engineering 2002: 191:4241-4258.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 4241-4258
    • Ibrahimbegovic, A.1    Mamouri, S.2
  • 34
    • 0017983297 scopus 로고
    • Finite-element method for non-linear elastodynamics which conserve energy
    • Hughes T, Caughey T, Liu W. Finite-element method for non-linear elastodynamics which conserve energy. Journal of Applied Mechanics 1978; 45:366-370.
    • (1978) Journal of Applied Mechanics , vol.45 , pp. 366-370
    • Hughes, T.1    Caughey, T.2    Liu, W.3
  • 35
    • 0030231580 scopus 로고    scopus 로고
    • Constraint energy momentum algorithm and its application to non-linear dynamics of shells
    • Kuhl D, Ramm E. Constraint energy momentum algorithm and its application to non-linear dynamics of shells. Computer Methods in Applied Mechanics and Engineering 1996; 136:293-315.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.136 , pp. 293-315
    • Kuhl, D.1    Ramm, E.2
  • 36
    • 0032671921 scopus 로고    scopus 로고
    • Generalized energy-momentum method for non-linear adaptive shell dynamics
    • Kuhl D, Ramm E. Generalized energy-momentum method for non-linear adaptive shell dynamics. Computer Methods in Applied Mechanics and Engineering 1999; 178:343-366.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.178 , pp. 343-366
    • Kuhl, D.1    Ramm, E.2
  • 37
    • 0002459308 scopus 로고    scopus 로고
    • Inherent energy conserving time finite elements for classical mechanics
    • Betsch P, Steinmann P. Inherent energy conserving time finite elements for classical mechanics. Journal of Computational Physics 2000; 160:88-116.
    • (2000) Journal of Computational Physics , vol.160 , pp. 88-116
    • Betsch, P.1    Steinmann, P.2
  • 38
    • 0034300622 scopus 로고    scopus 로고
    • Conservation properties of a time FE method. Part I: Time-stepping schemes for n-body problems
    • Betsch P, Steinmann P. Conservation properties of a time FE method. Part I: Time-stepping schemes for n-body problems. International Journal for Numerical Methods in Engineering 2000: 49:599-638.
    • (2000) International Journal for Numerical Methods in Engineering , vol.49 , pp. 599-638
    • Betsch, P.1    Steinmann, P.2
  • 39
    • 0035045872 scopus 로고    scopus 로고
    • Conservation properties of a time FE method. Part II: Time-stepping schemes for non-linear elastodynamics
    • Betsch P, Steinmann P. Conservation 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
  • 40
    • 84938495407 scopus 로고    scopus 로고
    • Integration of elastic multibody system by invariant conserving/dissipating algorithms. i. Formulation
    • Borri M, Bottasso L. Trainelli L. Integration of elastic multibody system by invariant conserving/dissipating algorithms. i. formulation. Computer Methods in Applied Mechanics and Engineering 2001; 190:3669-3699.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 3669-3699
    • Borri, M.1    Bottasso, L.2    Trainelli, L.3
  • 41
    • 0000154406 scopus 로고    scopus 로고
    • Integration of elastic multibody system by invariant conserving/dissipating algorithms. ii. Numerical schemes and applications
    • Bottasso L, Borri M, Trainelli L. Integration of elastic multibody system by invariant conserving/dissipating algorithms. ii. numerical schemes and applications. Computer Methods in Applied Mechanics and Engineering 2001; 190:3701-3733.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 3701-3733
    • Bottasso, L.1    Borri, M.2    Trainelli, L.3
  • 42
    • 0019607218 scopus 로고
    • On the implementation of inelastic constitutive equations with special reference to large deformation problems
    • Nagtegaal J. On the implementation of inelastic constitutive equations with special reference to large deformation problems. Computer Methods in Applied Mechanics and Engineering 1982; 33:469-484.
    • (1982) Computer Methods in Applied Mechanics and Engineering , vol.33 , pp. 469-484
    • Nagtegaal, J.1
  • 43
    • 0020273595 scopus 로고
    • Analysis of metal forming problems with an improved finite strain plasticity formulation
    • Pineridge: Swansea, UK
    • Nagtegaal J, Veldpaus F. Analysis of metal forming problems with an improved finite strain plasticity formulation. Numerical Methods in Industrial Forming Processes. Pineridge: Swansea, UK, 1982.
    • (1982) Numerical Methods in Industrial Forming Processes
    • Nagtegaal, J.1    Veldpaus, F.2
  • 44
    • 0021570206 scopus 로고
    • On the implementation of finite strain plasticity equations in a numerical model
    • Pittman et al. (eds). Wiley: New York
    • Nagtegaal J, Veldpaus F. On the implementation of finite strain plasticity equations in a numerical model. In Numerical Analysis of Forming Processes, Pittman et al. (eds). Wiley: New York, 1984.
    • (1984) Numerical Analysis of Forming Processes
    • Nagtegaal, J.1    Veldpaus, F.2
  • 45
    • 0036006518 scopus 로고    scopus 로고
    • Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes
    • Ponthot J-P. Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes. International Journal of Plasticity 2002; 18:91-126.
    • (2002) International Journal of Plasticity , vol.18 , pp. 91-126
    • Ponthot, J.-P.1
  • 46
    • 0000187771 scopus 로고
    • Calculation of elastoplastic flows
    • Alder B (ed.). Academic Press; New York
    • Wilkins M. Calculation of elastoplastic flows. In: Methods of Computational Physics. Alder B (ed.). Academic Press; New York, 1964; 211-263.
    • (1964) Methods of Computational Physics , pp. 211-263
    • Wilkins, M.1
  • 47
  • 50


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.