Homogenization of non-local integral functionals via two-scale Young measures
Giacomo Bertazzoni, Andrea Torricelli, Elvira Zappale
TL;DR
This paper establishes a homogenization framework for non-local integral functionals using two-scale Young measures, providing a new characterization method for these measures.
Contribution
It introduces a homogenization approach for non-local functionals via two-scale Young measures and characterizes these measures for the first time.
Findings
Homogenization result for non-local integral functionals.
Characterization of two-scale Young measures.
Framework applicable to complex materials and systems.
Abstract
We prove a homogenization result in terms of two-scale Young measures for non-local integral functionals. The result is obtained by means of a characterization of two-scale Young measures.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering