Roland Gachechiladze

Interior and Exterior Problems of Couple-Stress and Classical Elastostatics with Given Friction

We consider an interior problem of statics of couple-stress elasticity for anisotropic nonhomogeneous media with friction taken into account and the corresponding exterior problem for homogeneous isotropic media. The question of the existence and uniqueness of weak solutions of these problems is studied when friction forces occur along the boundary of an elastic medium or on some part of this boundary.

Friction, couple-stress elasticity, statics, boundary variational inequality, anisotropic nonhomogeneous medium.

MSC 2000: 73T05, 35J85