Citation of CONTACT:
If you use CONTACT in your researches you may render thanks for all the work in its maintenance and extension and for making it publicly available by citing our User guide or one of our recent publications like [Vollebregt2011a] or [Vollebregt2012b] (see below).
- The bibliographic details of the User guide are as follows.
[Vollebregt2009b]. E.A.H. Vollebregt. User guide for CONTACT, Vollebregt & Kalker's rolling and sliding contact model. Technical report TR09-03, version 12.2, VORtech BV, Delft, The Netherlands, 2012. See www.kalkersoftware.org.
Overview, introduction:
- An introduction to frictional contact mechanics and comparison of
CONTACT with various more approximate contact theories is presented in
[Vollebregt2011a]. E.A.H. Vollebregt, S.D. Iwnicki, G. Xie and P. Shackleton. Assessing the accuracy of different simplified frictional rolling contact algorithms. Vehicle System Dynamics, volume 50, number 1, pages 1-17, 2012.
- A nice introduction to the internal workings of the model is given in
[Kalker2000]. J.J. Kalker. Rolling Contact Phenomena - Linear Elasticity, in: Bo Jacobson and J.J. Kalker, editors, Rolling Contact Phenomena, CISM courses and lectures no 411, pages 1-87, 2000.
This book contains an introduction to other aspects of contact mechanics as well, such as finite element methods, plastic deformation, wear, corrugation, tyres, noise and lubrication. These topics were presented in an advanced course on contact mechanics held in Udine, Italy in 1999.
- Kalker's book gives a comprehensive mathematical formulation of the
frictional contact problem, an overview of solution approaches, and a detailed
description of the variational approach.
[Kalker1990]. J.J. Kalker. Three-Dimensional Elastic Bodies in Rolling Contact. Solid Mechanics and its Applications. Kluwer Academic Publishers, 1990.
- An overview of the different programs developed by Prof. Kalker and their
capabilities is given in a special issue of VSD of 2008.
[Vollebregt2008a]. E.A.H. Vollebregt. Survey of programs on contact mechanics developed by J.J. Kalker. Vehicle System Dynamics, volume 46, number 1, pages 85-92, 2008. Temporary: free download.
Original publications on the theories:
- Kalker's original paper on the variational contact method is the
following.
[Kalker1979]. J.J. Kalker. The computation of three-dimensional rolling contact with dry friction. Int. Journal for Numerical Methods in Engineering, volume 14, pages 1293-1307, 1979.
- The algorithm for calculation of the displacement field in the interiors
of the two bodies (stresses, strains, displacements) was first presented in
1986.
[Kalker1986]. J.J. Kalker. Numerical calculation of the elastic field in a half-space. Communications of Applied Numerical Mathematics, volume 2, pages 401-410, 1986.
- The original paper on the ConvexGS solver for the tangential contact
problem is the following.
[Vollebregt1995]. E.A.H. Vollebregt. A Gauss-Seidel type solver for special convex programs, with application to frictional contact mechanics. Journal of Optimization Theory and Applications, volume 87, number 1, pages 47-67, 1995.
Recent extensions:
- Recently the rolling contact model was extended for better reproduction
of measured creep force curves. This involves a model for the third body
layer and a velocity dependent friction law. Further this paper introduces
the concept of "friction memory".
[Vollebregt2012b]. E.A.H. Vollebregt. 100-Fold speed-up of the normal contact problem and other recent developments in "CONTACT". In W. Zhang, editor, Proceedings of the 9th International Conference on Contact Mechanics and Wear in Rail/Wheel Systems, pages 79-86, Chengdu, P.R. China, 2012.
- The so-called "falling friction" extension appears to give surprising
results in transient calculations, which are explained in
[Vollebregt2012a]. E.A.H. Vollebregt, H.M. Schuttelaars. Quasi-static Analysis of two-dimensional rolling contact with slip-velocity dependent friction. Journal of Sound and Vibration, volume 331, number 9, pages 2141-2155, 2012.
- Work is in progress to provide CONTACT as an add-on package to SIMPACK
Rail. Initial results and the benefit of this are presented in
[Vollebregt2011b]. E.A.H. Vollebregt, C. Weidemann and A. Kienberger. Use of "CONTACT" in multi-body vehicle dynamics and profile wear simulation: initial results. In S.D. Iwnicki et.al., editors, Proceedings of the 22nd International Symposium on Dynamics of Vehicles on Roads and Tracks, 2011.
- A new solution approach to the steady state rolling problem was devised
and presented in 2010.
[Vollebregt2010c]. E.A.H. Vollebregt. Improving speed and accuracy of the frictional rolling contact model "CONTACT". In B.H.V. Topping, J.M. Adam, F.J. Pallares, R. Bru and M.L. Romero, editors, Proceedings of the 10th International Conference on Computational Structures Technology, Civil-Comp Press, 2010.
- In 2009 the rolling contact model was extended to avoid certain
irregularities in the numerical results, particularly related to the treatment
of the leading edge of the contact area.
[Vollebregt2009a]. E.A.H. Vollebregt. Refinement of Kalker's rolling contact model. In A. Bracciali, editor, Proceedings of the 8th International Conference on Contact Mechanics and Wear in Rail/Wheel Systems, pages 149-156, 2009.
- Finally there's work in progress for the further speed up using the
multi-grid approach. Initial results are presented in:
[Zhao2012a]. J. Zhao, E.A.H. Vollebregt and C.W. Oosterlee. A Full Multigrid Method for Linear Complementarity Problems arising from Elastic Normal Contact Problems, In Proceedings of the 12th Copper Mountain Conference on Iterative Methods, 2012.
This paper received an honourable mention in the student paper competition.



