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Microstructure and effective behavior of materials
Author(s) -
Dolzmann G.
Publication year - 2013
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200128
Subject(s) - computer science , microstructure , material properties , calculus (dental) , industrial engineering , management science , biochemical engineering , materials science , engineering , medicine , dentistry , metallurgy , composite material
Tailor‐made materials often take advantage of surprising material behavior which is related to special effects and structures on small length scales. In order to achieve the design goals, a precise understanding of the underlying mechanisms in a mathematical model is indispensable. This contribution presents modern methods in the calculus of variations which are available for the analysis and numerical simulation of systems with multiple scales and illustrates their use in two characteristic model examples.