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Journal of Applied Mechanics and Technical Physics

2015 year, number 6

SLIDING OF TWO SMOOTH INDENTERS ON A VISCOELASTIC FOUNDATION IN THE PRESENCE OF FRICTION

F. I. Stepanov
Ishlinskii Institute of Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia
stepanov_ipm@mail.ru
Keywords: контактная задача, вязкоупругость, скольжение индентора, contact problem, viscoelasticity, indenter sliding

Abstract

The axisymmetric contact problem of sliding of two solid parabolic indenters on a viscoelastic half-space with constant velocity is considered. Shear stresses modeling the adhesive component of the friction force act in the contact area. The model of the foundation material is described by an integral operator with an exponential kernel characterized by one relaxation time. The problem is solved by the boundary element method. The dependences of the contact characteristics on the sliding velocity, the normal load, and the distance between the centers of the indenters is analyzed. The results can be used to study the effect of the roughness elements modeled by two indenters on the contact characteristics and the deformation component of the friction force.