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The mathematical theory of solids was studied from the modern perspective of materials with microcstructures. The discussed topics ranged from experimental findings, via numerical simulations and mathematical modeling to the analysis of models with microstructures. A special emphasis was given to theories providing rigorous insight into and justification of the limit passage between different scales.
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Alexander Mielke, Michael Ortiz, Microstructures in Solids: From Quantum Models to Continua. Oberwolfach Rep. 7 (2010), no. 1, pp. 733–798DOI 10.4171/OWR/2010/14