Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration
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[1] S. Antman. Nonlinear problems of elasticity , 1994 .
[2] Peter Betsch,et al. Energy-Momentum Conserving Schemes for Frictionless Dynamic Contact Problems , 2007 .
[3] Michael A. Puso,et al. A 3D mortar method for solid mechanics , 2004 .
[4] F. Armero,et al. Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems , 1998 .
[5] Barbara I. Wohlmuth,et al. Discretization Methods and Iterative Solvers Based on Domain Decomposition , 2001, Lecture Notes in Computational Science and Engineering.
[6] F. Armero,et al. 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 , 2001 .
[7] F. Armero,et al. On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part II: second-order methods , 2001 .
[8] Barry Smith,et al. Domain Decomposition Methods for Partial Differential Equations , 1997 .
[9] Clark R. Dohrmann,et al. Methods for connecting dissimilar three-dimensional finite element meshes , 2000 .
[10] T. Laursen,et al. Improved implicit integrators for transient impact problems—geometric admissibility within the conserving framework , 2002, International Journal for Numerical Methods in Engineering.
[11] Peter Betsch,et al. Conservation properties of a time FE method—part III: Mechanical systems with holonomic constraints , 2002 .
[12] Peter Betsch,et al. Energy-momentum conserving integration of multibody dynamics , 2007 .
[13] O. Gonzalez. Mechanical systems subject to holonomic constraints: differential—algebraic formulations and conservative integration , 1999 .
[14] C. Truesdell,et al. The Non-Linear Field Theories Of Mechanics , 1992 .
[15] Peter Betsch,et al. Conservation properties of a time FE method—part II: Time‐stepping schemes for non‐linear elastodynamics , 2001 .
[16] David J. Benson,et al. Sliding interfaces with contact-impact in large-scale Lagrangian computations , 1985 .
[17] Tod A. Laursen,et al. A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations , 2007 .
[18] Oscar Gonzalez,et al. Exact energy and momentum conserving algorithms for general models in nonlinear elasticity , 2000 .
[19] T. Laursen,et al. DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS , 1997 .
[20] J. Z. Zhu,et al. The finite element method , 1977 .
[21] O. Gonzalez. Time integration and discrete Hamiltonian systems , 1996 .
[22] C. Truesdell,et al. The Non-Linear Field Theories of Mechanics , 1965 .
[23] K. Bathe,et al. Stability and patch test performance of contact discretizations and a new solution algorithm , 2001 .
[24] Peter Betsch,et al. A comparison of computational methods for large deformation contact problems of flexible bodies , 2006 .
[25] C. Bernardi,et al. A New Nonconforming Approach to Domain Decomposition : The Mortar Element Method , 1994 .
[26] P. Tallec,et al. Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact , 2006 .
[27] Keith Hjelmstad,et al. A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements , 2007 .
[28] Martin W. Heinstein,et al. A three dimensional surface‐to‐surface projection algorithm for non‐coincident domains , 2003 .
[29] J. Périaux,et al. Domain Decomposition Methods in Science and Engineering , 1994 .
[30] Tod A. Laursen,et al. A segment-to-segment mortar contact method for quadratic elements and large deformations , 2008 .
[31] R. Krause,et al. Nonconforming decomposition methods: Techniques for linear elasticity , 2000 .
[32] Anthony T. Patera,et al. Domain Decomposition by the Mortar Element Method , 1993 .
[33] Peter Betsch,et al. A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems , 2009 .
[34] J. C. Simo,et al. A perturbed Lagrangian formulation for the finite element solution of contact problems , 1985 .
[35] T. Laursen. Computational Contact and Impact Mechanics , 2003 .
[36] Tod A. Laursen,et al. Two dimensional mortar contact methods for large deformation frictional sliding , 2005 .
[37] P. Tallec,et al. A discontinuous stabilized mortar method for general 3D elastic problems , 2007 .
[38] Wolfgang Hackbusch,et al. Multi-grid methods and applications , 1985, Springer series in computational mathematics.