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2D approximation of heterogeneous 3D media

Submitted by phunguyen on

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

solver for a very hetereogeneous system of equations

Submitted by phunguyen on

Hello everybody,

I am solving a FE problem on a hetereogeneous medium consisting of rigid phase (Young modulus of about 100 000 N/mm2), a softer phase (Young modulus of 20 000 N/mm2) and pore (Young modulus of 1 N/mm2). The reason that I have to mesh the pore is that there are some elements of rigid phase hanging out in the pores. So, if I do not mesh the pore, then my FE matrix is singular.