A new formulation for solving 3-D time dependent rolling contact problems of a rigid body on a viscoelastic half-space

Hai Ping Yin (1) , Julien Cesbron (2) , Q H Bui (1)

1 navier umr 8205 - Laboratoire Navier
2 IFSTTAR/AME/LAE - Laboratoire d'Acoustique Environnementale

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.

Mots clés: Viscoelasticity; Rolling contact; Numerical simulations; Rolling contact; Viscoelasticity

Mots clés: SIMULATION NUMERIQUE; RESISTANCE AU ROULEMENT; COUCHE DE ROULEMENT; VISCOELASTICITE

Domaines: Mécanique des structures [physics.class-ph]

Hai Ping Yin, Julien Cesbron, Q H Bui. A new formulation for solving 3-D time dependent rolling contact problems of a rigid body on a viscoelastic half-space. Mechanics Research Communications, 2015, 64, pp.8-14. ⟨10.1016/j.mechrescom.2014.12.006⟩. ⟨hal-01470386⟩