Author(s)

P.D. Panagiotopoulos & O.K. Panagouli

Abstract

Unilateral contact and friction in fractal interfaces. Numerical applications P.D. Panagiotopoulos^, O.K. Panagouli* "Institute of Steel Structures, Aristotle University, GR-54006 Thessaloniki, Greece ^Faculty of Math, and Physics, RWTH, D-5100 Aachen, Germany ABSTRACT Structures involving interfaces with fractal geometry are analysed here as a sequence of classical interface problems. These problems result from the consideration of the fractal interface as the unique "fixed point" or the "deterministic attractor" of a given Iterative Function System. On the in- terface unilateral contact with friction conditions are assumed to hold. The approximations of the fractal interface are combined with a two level unilat- eral contact-friction algorithm based on the optimization of the consecutive potential and of the complementary energy, after some appropriate trans- formations are performed. Numerical examples from rock mechanics, bone mechanics and fracture eng

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