Algorithm for solving the viscoelastic rolling contact problem with a periodic speed pattern

D. L. Chertoc; J. M. Golden; G. A. C. Graham

doi:10.1117/12.347464

5 May 1999 Algorithm for solving the viscoelastic rolling contact problem with a periodic speed pattern

D. L. Chertoc, J. M. Golden, G. A. C. Graham

Proceedings Volume 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (1999) https://doi.org/10.1117/12.347464
Event: International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1998, St. Petersburg, Russian Federation

Abstract

We consider a uniformly infinite cylindrical indentor of large radius rolling in one direction across the surface of a viscoelastic half-space, the response of which is modelled as that of a standard linear solid. We adopt the non-inertial approximation. An integral equation is derived together with subsidiary conditions and an algorithm for their numerical solution is developed. Alternately accelerating and decelerating periodic motions are considered and results compared with those for the steady-state solution.

Citation Download Citation

D. L. Chertoc, J. M. Golden, and G. A. C. Graham "Algorithm for solving the viscoelastic rolling contact problem with a periodic speed pattern", Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); https://doi.org/10.1117/12.347464

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