Distribution-enhanced homogenization: Theory and application

Abstract eng:
Multiscale modeling offers a tractable rrieans to model sufficiently large spatial dormire of heterogeneous nmdia withuit the prohibitive computational overhead inctmed by high—resolution modeling of microscopic scales.- Tbe present study propoms a novel homogenizatim—based approach to 'ach'lrve the transfer of information between til: scales ofrepresentation. TIE. dimifimion—cnimeced homogenimtion tDEl-l} frarreworl; presented here associates a nut-uniform microscale field variable to a mosoopic material region by inoorpu'aring moments of nvicroscale field variable distributions in the macroscale constitutive calculatirlrs, which are formulated by cori- strnoting series expansions in terms of these moments. Using DEHF, it is possible to derive a set of rmcroscale constitutive relations that replesent Ithe microscale behavior exactly in the limit, without menstruating effective oneroscale parameters by fitting the fluoroscopic behavior to the average microscopic behavior.

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