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I was reading some papers on continuum dynamics and its application to various material dynamics. The determination of macroscopic behavior is being studied , considering phononic interactions. As a material consists of phonons of various wavelengths, it is necessary to account for various length/ dimensional structures internally like dealing with micro, meso and nano levels and analyzing what are the effects or errors or uncertainties produced by these length scales.

One thing I could not understand is, how is it possible to account all these various dimensional effects all together and obtain macroscopic analysis. Even if we do so, will that be right? Or is there any common method to implement these different variations in a single way?

Can anybody help me please?

Regards