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When the separation of scales does not hold, or when one wants to establish a continuum of a finer resolution than that of the RVE size, one employs a statistical volume element ( SVE ), which, in turn, leads to random continuum fields.
The latter then provide a micromechanics basis for stochastic finite elements ( SFE ).
The levels of SVE and RVE link continuum mechanics to statistical mechanics.
The RVE may be assessed only in a limited way via experimental testing: when the constitutive response becomes spatially homogeneous.

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