[1]
ABAQUS/Standard Theory Manual, Version 6. 6, (2006).
Google Scholar
[2]
R. E. Bauer: Discontinuous Galerkin Methods for ordinary differential equations, University of Northern Colorado, (1995).
Google Scholar
[3]
A. Becker and B. Seifert: Simulation of wear with a FE Tyre model using a steady state rolling formulation. In M. H. Aliabadi and A. Samartin (eds. ): Computational Methods in Contact Mechanics III, CMP, Southamption, Boston, 119-128, (1997).
Google Scholar
[4]
D. Benson: An efficient accurate simple ALE method for nonlinear finite element programs. Computer Methods in Applied Mechanics and Engineering, 72, 305-350, (1989).
DOI: 10.1016/0045-7825(89)90003-0
Google Scholar
[5]
B. Cockburn, G. Karniadakis and C. -W. Shu: The development of discontinuous galerkin methods. In Cockburn (ed. ): Discontinuous Galerkin Methods, Springer, (1999).
DOI: 10.1007/978-3-642-59721-3_1
Google Scholar
[6]
L. O. Faria, J. T. Oden, B. Yavari, W. Tworzydlo, J. M. Bass and E. B. Becker: Tire modeling by finite elements. Tire Science & Technology, 20, 33-56, (1992).
DOI: 10.2346/1.2139507
Google Scholar
[7]
S. Godunov: Finite difference method for numerical computation of discontinuous solutions of the equation of fluid dynamics. Math. Sbornik, 47, 272-306, (1959).
Google Scholar
[8]
M. Kaliske, D. Zheng, M. Andre and C. Bertram: Efficient Steady-State Simulations up to High Speed of Dissipative Tire Chracteristics. Vehicle Systems Dynamics Journal, Supplement 40, 175-194, (2003).
Google Scholar
[9]
O. Kolditz: Computational Methods in Environmental Fluid Mechanics, Springer, (2002).
Google Scholar
[10]
U. Nackenhorst: On the finite element analysis of steady state rolling contact. In M. H. Aliabadi and C. A. Brebbia (eds. ): Contact Mechanics - Computational Techniques, CMP, Southamption, Boston, 53-60, (1993).
Google Scholar
[11]
U. Nackenhorst, The ALE-Formulation of Bodies in Rolling Contact - Theoretical Foundations and Finite Element Approach -. Computer Methods in Applied Mechanics and Engineering. 193, 4299-4322, (2004).
DOI: 10.1016/j.cma.2004.01.033
Google Scholar
[12]
U. Nackenhorst and M. Ziefle: Finite element modelling of rolling tires. Kautschuk, Gummi, Kunststoffe (KGK), 6, 322-326, (2005).
Google Scholar
[13]
J. T. Oden and T. L. Lin: On the general rolling contact problem for finite deformations of a viscoelastic cylinder. Computer Methods in Applied Mechanics and Engineering, 57, 297-367, (1986).
DOI: 10.1016/0045-7825(86)90143-x
Google Scholar
[14]
S. Reese: Thermomechanische Modellierung gummiartiger Polymerstrukturen, Universit¨at Hannover, (2000).
Google Scholar
[15]
A. Rodriguez-Ferran, F. Casadei and A. Huerta: ALE Stress Update For Transient And Quasistatic Processes. Int. J. Num. Meth. Engng. 43, 241-262, (1998).
DOI: 10.1002/(sici)1097-0207(19980930)43:2<241::aid-nme389>3.0.co;2-d
Google Scholar
[16]
F. Shakib and T. J. R. Hughes: A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms. Computer Methods in Applied Mechanics and Engineering, 87, 35-58, (1991).
DOI: 10.1016/0045-7825(91)90145-v
Google Scholar
[17]
J. C. Simo and T. J. R. Hughes: Computational Inelasticity. Springer, (1998).
Google Scholar
[18]
C. Stoker: Developments of the Arbitrary Lagrangian-Eulerian Method in non-linear Solid Mechanics, University Twente, (1999).
Google Scholar
[19]
P. Le Tallec and C. Rahier: Numerical models of steady rolling for non-linear viscoelastic structures in finite deformations. Int. J. Num. Meth. Engng. 37, 1159-1186, (1994).
DOI: 10.1002/nme.1620370705
Google Scholar
