Frictional contact problem with wear for electro-viscoelastic materials with long memory. (English) Zbl 1273.74363

Selmani, Mohamed

Bull. Belg. Math. Soc. - Simon Stevin 20, No. 3, 461-479 (2013).

Summary: We study a mathematical model for a quasistatic process of contact with normal compliance and friction when the wear of the contact surface due to friction is taken into account. The material is electro-viscoelastic with long memory. We establish a variational formulation for the model and prove the existence and uniqueness of the weak solution. The proof is based on classical results for elliptic variational inequalities and fixed point arguments.

MSC:

74M15	Contact in solid mechanics
74M10	Friction in solid mechanics
74F15	Electromagnetic effects in solid mechanics
49J40	Variational inequalities

Keywords:

quasistatic process; electro-viscoelastic materials; normal compliance; friction; wear; existence and uniqueness; fixed point arguments; weak solution