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In the final step, the tangential problem is solved; this concerns the prediction of tangential stresses at the contact interface which is generated by friction and creepages within the contact zone [11, 13, 14].
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Finally, generating consensus on the application of rules protecting mobility is intertwined with the resolution of tangential problems.
Further work will focus on the development of a contact model which is capable of taking into account the influence of yaw angle for both normal and tangential problems.
The properties of a reduced friction model for elastic bodies with general surfaces in contact are explained, and it is proved that the tangential friction problem can be reduced to the normal problem.
Thus the tangential quadratic problem in now becomes (3.12).
Consider Algorithm 3.1, in which is a minimum norm stationary point of the tangential quadratic problem (3.1).
The tangential quadratic problem constrained here is slightly more general than (3.1) in the sense that the Hessian of the Lagrangian is replaced by some positive definite matrix.
The common method to solve the wheel-rail tangential contact problem is represented by the FASTSIM algorithm [13], also due to Kalker.
The tangential contact problem between the wheel and rail is modelled using an unsteady two-dimensional approach and also using the three-dimensional contact model, FASTSIM.
Interactions between close inclusions are taken into account in the numerical procedure, as well as the coupling between the normal and tangential contact problems.
This latter method is based on solving one-dimensional normal and tangential Riemann problems at cell interfaces and again propagating waves through one or more mesh cells.
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