heterogeneous media

Dear All,



Could somebody indicate me some literature about the topic "2D
approximation of heterogeneous 3D media"?



In particular I am interested to address following issues:



1) Under which conditions averaging thermal conductivity and young
modulus (or more general, mechanical behaviour) on multiple 2D crossections of an heterogeneous "random"
material can be a good approximation for the behaviour of the real 3D
microstructure