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2D approximation of heterogeneous 3D media
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
2) Is there any theorem which shows the equivalence between averaging
on n 2D crossections of a certain media and taking the single
real 3D structure for n sufficiently large?
Thank you very much in advance.