메뉴 건너뛰기




Volumn 92, Issue 9, 2012, Pages 753-781

An energy consistent frictional dissipating algorithm for particle contact problems

Author keywords

Consistent energy conservation dissipation; Discrete element method; Enhanced penalty; Frictional contact; Gap vibrations control

Indexed keywords

ANALYTICAL FORMULATION; CONSISTENT ENERGY CONSERVATION-DISSIPATION; CONTACT FORCES; CONTACT MODELS; DASHPOTS; DISSIPATED ENERGY; ELLIPTICAL PARTICLES; ENERGY GROWTH; ENHANCED PENALTY; FRICTIONAL CONTACT; GRANULAR COLUMNS; NUMERICAL SOLUTION; PARTICLE CONTACTS; PENALTY METHODS; PHYSICAL BEHAVIORS; PHYSICAL PROCESS; RIGID BODY; ROUGH SURFACES; TIME INTEGRATION; TIME STEP;

EID: 84868130257     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.4346     Document Type: Article
Times cited : (7)

References (33)
  • 2
    • 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(1-2):151-178.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.179 , Issue.1-2 , pp. 151-178
    • Armero, F.1    Petocz, E.2
  • 4
    • 0028715079 scopus 로고
    • A numerical solution for dynamic contact problems satisfying the velocity and acceleration compatibilities on the contact surface
    • Lee K. A numerical solution for dynamic contact problems satisfying the velocity and acceleration compatibilities on the contact surface. Computational Mechanics 1994; 15(3):189-200.
    • (1994) Computational Mechanics , vol.15 , Issue.3 , pp. 189-200
    • Lee, K.1
  • 5
    • 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(3-4):269-300.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.158 , Issue.3-4 , pp. 269-300
    • Armero, F.1    Petocz, E.2
  • 8
    • 0029255305 scopus 로고
    • Combined finite-discrete element method in transient dynamics of fracturing solids
    • Munjiza A, Owen D, Bicanic N. Combined finite-discrete element method in transient dynamics of fracturing solids. Engineering Computations 1995; 12(2):145-174.
    • (1995) Engineering Computations , vol.12 , Issue.2 , pp. 145-174
    • Munjiza, A.1    Owen, D.2    Bicanic, N.3
  • 9
    • 34247617166 scopus 로고    scopus 로고
    • Numerical simulation of the dynamics of an impacting bar
    • DOI: 10.1016/j.cma.2006.11.024.
    • Paoli L, Schatzman M. Numerical simulation of the dynamics of an impacting bar. Computer Methods in Applied Mechanics and Engineering 2007; 196(29-30):2839-2851. DOI: 10.1016/j.cma.2006.11.024.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.29-30 , pp. 2839-2851
    • Paoli, L.1    Schatzman, M.2
  • 10
    • 33744902898 scopus 로고    scopus 로고
    • Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact
    • DOI: 10.1016/j.cma.2005.11.005. John H. Argyris Memorial Issue. Part I.
    • Hauret P, Tallec PL. Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact. Computer Methods in Applied Mechanics and Engineering 2006; 195(37-40):4890-4916. DOI: 10.1016/j.cma.2005.11.005. John H. Argyris Memorial Issue. Part I.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.37-40 , pp. 4890-4916
    • Hauret, P.1    Tallec, P.L.2
  • 11
    • 84868136767 scopus 로고    scopus 로고
    • Velocity update algorithms for transient impact problems: consideration of kinematic discontinuities within a conserving framework. Ph.D. Thesis, Duke University, Department of Civil and Environmental Engineering
    • Love GR. Velocity update algorithms for transient impact problems: consideration of kinematic discontinuities within a conserving framework. Ph.D. Thesis, Duke University, Department of Civil and Environmental Engineering, 2000.
    • (2000)
    • Love, G.R.1
  • 12
    • 0037137831 scopus 로고    scopus 로고
    • Improved implicit integrators for transient impact problems - geometric admissibility within the conserving framework
    • DOI: 10.1002/nme.264.
    • Laursen T, Love G. Improved implicit integrators for transient impact problems - geometric admissibility within the conserving framework. International Journal for Numerical Methods in Engineering 2002; 53(2):245-274. DOI: 10.1002/nme.264.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , Issue.2 , pp. 245-274
    • Laursen, T.1    Love, G.2
  • 13
    • 0037981465 scopus 로고    scopus 로고
    • Improved implicit integrators for transient impact problems - dynamic frictional dissipation within an admissible conserving framework
    • DOI: 10.1016/S0045-7825(03)00257-3.
    • Love G, Laursen T. Improved implicit integrators for transient impact problems - dynamic frictional dissipation within an admissible conserving framework. Computer Methods in Applied Mechanics and Engineering 2003; 192(19):2223-2248. DOI: 10.1016/S0045-7825(03)00257-3.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.19 , pp. 2223-2248
    • Love, G.1    Laursen, T.2
  • 15
    • 0025889111 scopus 로고
    • Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
    • Simo J, Wong K. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum. International Journal for Numerical Methods in Engineering 1991; 31(1):19-52.
    • (1991) International Journal for Numerical Methods in Engineering , vol.31 , Issue.1 , pp. 19-52
    • Simo, J.1    Wong, K.2
  • 17
    • 0001373362 scopus 로고
    • Modeling of particulate media using discontinuous deformation analysis
    • DOI: 10.1061/(ASCE)0733-9399(1995)121:11(1234).
    • Ke T, Bray J. Modeling of particulate media using discontinuous deformation analysis. Journal of Engineering Mechanics-ASCE 1995; 121(11):1234-1243. DOI: 10.1061/(ASCE)0733-9399(1995)121:11(1234).
    • (1995) Journal of Engineering Mechanics-ASCE , vol.121 , Issue.11 , pp. 1234-1243
    • Ke, T.1    Bray, J.2
  • 18
    • 0032168655 scopus 로고    scopus 로고
    • Modification of the DDA method for rigid block problems
    • DOI: 10.1016/S0148-9062(97)00319-7.
    • Koo C, Chern J. Modification of the DDA method for rigid block problems. International Journal of Rock Mechanics and Mining Sciences 1998; 35(6):683-693. DOI: 10.1016/S0148-9062(97)00319-7.
    • (1998) International Journal of Rock Mechanics and Mining Sciences , vol.35 , Issue.6 , pp. 683-693
    • Koo, C.1    Chern, J.2
  • 21
    • 0017892315 scopus 로고
    • Associated and non-associated sliding rules in contact friction problems
    • Michawloski R, Mróz Z. Associated and non-associated sliding rules in contact friction problems. Archives of Mechanics 1978; 30(3):259-276.
    • (1978) Archives of Mechanics , vol.30 , Issue.3 , pp. 259-276
    • Michawloski, R.1    Mróz, Z.2
  • 22
    • 29244443983 scopus 로고    scopus 로고
    • Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem
    • DOI: 10.1002/nme.1493.
    • Kanno Y, Martins J, da Costa A. Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem. International Journal for Numerical Methods in Engineering 2006; 65(1):62-83. DOI: 10.1002/nme.1493.
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , Issue.1 , pp. 62-83
    • Kanno, Y.1    Martins, J.2    da Costa, A.3
  • 24
    • 34249830447 scopus 로고
    • The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
    • DOI: 10.1007/BF00913408.
    • Simo J, Tarnow N. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics. ZAMP Zeitschrift angewandte Mathematik und Physik 1992; 43(5):757-792. DOI: 10.1007/BF00913408.
    • (1992) ZAMP Zeitschrift angewandte Mathematik und Physik , vol.43 , Issue.5 , pp. 757-792
    • Simo, J.1    Tarnow, N.2
  • 25
    • 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(5):449-467.
    • (1996) Journal of Nonlinear Science , vol.6 , Issue.5 , pp. 449-467
    • Gonzalez, O.1
  • 26
    • 0037199851 scopus 로고    scopus 로고
    • An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
    • DOI: 10.1002/nme.486.
    • Romero I, Armero F. An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics. International Journal for Numerical Methods in Engineering 2002; 54(12):1683-1716. DOI: 10.1002/nme.486.
    • (2002) International Journal for Numerical Methods in Engineering , vol.54 , Issue.12 , pp. 1683-1716
    • Romero, I.1    Armero, F.2
  • 27
    • 0026939543 scopus 로고
    • Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
    • Simo J, Tarnow N, Wong K. Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics. Computer Methods in Applied Mechanics and Engineering 1992; 100(1):63-116.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.100 , Issue.1 , pp. 63-116
    • Simo, J.1    Tarnow, N.2    Wong, K.3
  • 28
    • 0034509896 scopus 로고    scopus 로고
    • Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
    • DOI: 10.1016/S0045-7825(00)00189-4.
    • Gonzalez O. Exact energy and momentum conserving algorithms for general models in nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering 2000; 190(13-14):1763-1783. DOI: 10.1016/S0045-7825(00)00189-4.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.13-14 , pp. 1763-1783
    • Gonzalez, O.1
  • 29
    • 0028497774 scopus 로고
    • Swerve during three-dimensional impact of rough rigid bodies
    • DOI: 10.1115/1.2901502.
    • Stronge WJ. Swerve during three-dimensional impact of rough rigid bodies. Journal of Applied Mechanics 1994; 61(3):605-611. DOI: 10.1115/1.2901502.
    • (1994) Journal of Applied Mechanics , vol.61 , Issue.3 , pp. 605-611
    • Stronge, W.J.1
  • 30
    • 48249117534 scopus 로고    scopus 로고
    • A contact detection algorithm for superellipsoids based on the common-normal concept
    • DOI: 10.1108/02644400810881374.
    • Wellmann C, Lillie C, Wriggers P. A contact detection algorithm for superellipsoids based on the common-normal concept. Engineering Computations (Swansea, Wales) 2008; 25(5):432-442. DOI: 10.1108/02644400810881374.
    • (2008) Engineering Computations (Swansea, Wales) , vol.25 , Issue.5 , pp. 432-442
    • Wellmann, C.1    Lillie, C.2    Wriggers, P.3
  • 31
    • 1642488367 scopus 로고    scopus 로고
    • Time integration in discontinuous deformation analysis DDA
    • Doolin D, Sitar N. Time integration in discontinuous deformation analysis DDA. Journal of Engineering Mechanics ASCE 2004; 130(3):249-258.
    • (2004) Journal of Engineering Mechanics ASCE , vol.130 , Issue.3 , pp. 249-258
    • Doolin, D.1    Sitar, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.