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Erschienen in:
01.02.2015 | Research Note
Scale-Dependent Homogenization of Random Hyperbolic Thermoelastic Solids
Erschienen in: Journal of Elasticity | Ausgabe 2/2015
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Abstract
The scale-dependent homogenization is applied to a hyperbolic thermoelastic material with two relaxation times, where conductivity and stiffness are wide-sense stationary ergodic random fields. The previously established scaling functions for the Fourier-type conductivity and linear elastic responses are used to describe the trends to scale from the mesoscale statistical volume element level (SVE) to the (representative volume element) RVE level of a deterministic homogeneous continuum. In the case of white-noise type random fields, this finite-size scaling can be quantified via universally appearing stretched exponentials for conductivity and elasticity problems.