This paper investigates the influence of fractal geometry and fractal
material behaviour in solid and structural mechanics. For that, certai
n methods are proposed for the theoretical and numerical investigation
of this influence based on the consideration of the fractal as the ''
fixed point'' of a given iterated function system or as the fractal gr
aph of a fractal interpolation function which interpolates a given set
of data. First the definitions of the mechanical quantities and the m
echanical laws are extended to fractal sets by using some results from
the theory of Besov spaces. Then an attempt is made to extend certain
calculation methods to the case of fractal interfaces and to the case
of fractal nonmonotone interface laws. Finally the results of these m
ethods are investigated. (C) 1997 Elsevier Science Ltd All rights rese
rved.