Can microscopic coefficients always be derived from macroscopic coefficient?

To be more specific, 

alpha: Biot-Willis coefficient, Skempton coefficient 

These two parameters are derived from the macroscopic level which reflects the response of a porous material as a whole, without explicitly taking into account the individual contribution of its solid and fluid constituents.

From microscopic level, there are parameters (or bulk modulus) such as Ks (solid grain bulk modulus), Kf (fluid bulk modulus), and porosity. 

Hi!
In the terzaghi equation, there is a constant M (some books call is elastic oedemetric coefficient).
Since the terzaghi equation is a special case for the general 3D biot equations under oedemetric testboundary conditions, does any book or material explain the derivation?
If I want to mode the terzaghi problem using 3D model in FE program, the M is known, then how to get thecorresponding values of young's modulus and poisson's ratio in order to give the same response from the 3D model?
Thanks for your attention. Any suggestions would be appreciated.

Hi Everyone,

I have a general question about dynamic strcture problem,

I read from some books that "spatial resolution of high-frequency modes typically is poor by using the conventional finite element spatial domain discretization"?

Could someone explain more on this? Does it because the element usually is not fine enough to capture the high frequency response or...?

Thanks a lot!

BR,

Li

Hi everyone,

Now I am trying to implement Ogden model in Comsol Multiphysics, but I had some problem.

Then I realized that in Comsol, it's possible to implement a nonlinear young's modulus.

But I am a little confused.

If you have a nonlinear Young's modulus, in the stress-strain curve, E is the tangent of this curve.

For hyperelastic material, let's say Ogden material. It's usually a nonlinear stress-strain curve as well.

My problem is, even if you can get some function for E young's modulus for the linear elastic material, and this stress-strain curve can be fitted to Ogden stress-strain curve in order to get the same shape of curve.