Influence of frictional anisotropy on contacting surfaces during loading/unloading cycles

Z.Q. Feng , Mohammed Hjiaj , Géry de Saxcé (1) , Z. Mroz

1 LML - Laboratoire de Mécanique de Lille - FRE 3723

This paper presents numerical investigations on the loading and unloading of a three-dimensional body in frictional contact with a rigid foundation. The evolution of the sliding process during loading/unloading cycles is analyzed. The important case of anisotropy is examined along with the effect of the sliding rule. The solution algorithm is based on a variational inequality which combine the contact problem and the frictional problem. The numerical results of the punch problem show the hysteretic and irreversible behavior occurring when friction is anisotropic.

Mots clés: Elliptic friction criterion; Non-associated slip rule; Variational formulation; Uzawa algorithm; Cyclic loading

Z.Q. Feng, Mohammed Hjiaj, Géry de Saxcé, Z. Mroz. Influence of frictional anisotropy on contacting surfaces during loading/unloading cycles. International Journal of Non-Linear Mechanics, 2006, 41 (8), pp.936-948. ⟨10.1016/j.ijnonlinmec.2006.08.002⟩. ⟨hal-00185291⟩