Improved implicit integrators for transient impact problems––dynamic frictional dissipation within an admissible conserving framework
Tài liệu tham khảo
Armero, 1998, A new class of conserving algorithms for dynamic contact problems, Comput. Methods Appl. Mech. Engrg., 158, 269, 10.1016/S0045-7825(97)00256-9
Armero, 1999, A new dissipative time-stepping algorithm for frictional contact problems: formulation and analysis, Comput. Methods Appl. Mech. Engrg., 179, 151, 10.1016/S0045-7825(99)00036-5
Armero, 2001, On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part I: low-order methods for two model problems and nonlinear elastodynamics, Comput. Methods Appl. Mech. Engrg., 190, 2603, 10.1016/S0045-7825(00)00256-5
Armero, 2001, On the formulation to high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part II: second-order methods, Comput. Methods Appl. Mech. Engrg., 190, 6783, 10.1016/S0045-7825(01)00233-X
Chawla, 1998, Energy consistent algorithms for frictional contact problems, Int. J. Numer. Methods Engrg., 40, 863
Crisfield, 1994, A co-rotational element/time-integration strategy for nonlinear dynamics, Int. J. Numer. Methods Engrg., 37, 1897, 10.1002/nme.1620371108
Demkowicz, 2001, Conservative discretization of contact/impact problems for nearly rigid bodies, Comput. Methods Appl. Mech. Engrg., 190, 1903, 10.1016/S0045-7825(00)00232-2
Gonzalez, 2000, Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Comput. Methods Appl. Mech. Engrg., 190, 1763, 10.1016/S0045-7825(00)00189-4
Jones, 2000, A yield-limited Lagrange multiplier formulation for frictional contact, Int. J. Numer. Methods Engrg., 48, 1127, 10.1002/(SICI)1097-0207(20000720)48:8<1127::AID-NME937>3.0.CO;2-C
Laursen, 1997, Design of energy conserving algorithms for frictionless dynamic contact problems, Int. J. Numer. Methods Engrg., 40, 863, 10.1002/(SICI)1097-0207(19970315)40:5<863::AID-NME92>3.0.CO;2-V
Laursen, 2002, Improved implicit integrators for transient impact problems––geometric admissibility within the conserving framework, Int. J. Numer. Methods Engrg., 53, 245, 10.1002/nme.264
Laursen, 1993, A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems, Int. J. Numer. Methods Engrg., 36, 3451, 10.1002/nme.1620362005
G.R. Love, Velocity update algorithms for transient impact problems: consideration of kinematic discontinuities within a conserving framework, Ph.D. dissertation, Duke University, 2000
Meng, 2002, Energy consistent algorithms for dynamic finite deformation plasticity, Comput. Methods Appl. Mech. Engrg., 191, 1639, 10.1016/S0045-7825(01)00349-8
Simo, 1992, An augmented lagrangian treatment of contact problems involving friction, Comput. Struct., 42, 97, 10.1016/0045-7949(92)90540-G
Simo, 1992, The discrete energy–momentum method. Part I. conserving algorithms for nonlinear elastodynamics, Z. Angew. Math. Phys., 43, 757, 10.1007/BF00913408