Microstructures in Solids: From Quantum Models to Continua
Alexander Mielke
Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, GermanyMichael Ortiz
California Institute of Technology, Pasadena, United States
Abstract
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.
Cite this article
Alexander Mielke, Michael Ortiz, Microstructures in Solids: From Quantum Models to Continua. Oberwolfach Rep. 7 (2010), no. 1, pp. 733–798
DOI 10.4171/OWR/2010/14