A new formulation for solving 3-D time dependent rolling contact problems of a rigid body on a viscoelastic half-space
Résumé
The paper deals with a new formulation for solving the rolling contact problem without friction of a rigidbody on a viscoelastic half-space in three dimensions. Assuming that the material behavior is independentof time for a sufficiently short time duration, the viscoelastic contact problem is transformed into elasticlike problems. Then the contact problem is solved using a direct numerical method at each time step.The convergence of the method in time and space is good for a spherical indenter. The dissymmetry ofthe contact patch due to hysteresis was found in three dimensions for the spherical indenter and twocylinders of different width. Finally the method was tested for a sinusoidal varying speed and shows agood efficiency.
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