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Construction of Statistically Similar RVEs for 3D Microstructures
Author(s) -
Scheunemann Lisa,
Balzani Daniel,
Brands Dominik,
Schröder Jörg
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210203
Subject(s) - microstructure , computation , materials science , structural engineering , minification , computer science , algorithm , mathematics , composite material , mathematical optimization , engineering
This contribution presents a method to construct three‐dimensional Statistically Similar RVEs (SSRVEs) for the simulation of dual phase steel (DP steel). Since the microstructure of DP steel strongly influences the overall material properties, it should be incorporated in numerical calculations. For this purpose the FE 2 method can be applied and for an efficient computation SSRVEs with a reduced complexity compared to the real microstructure have to be defined, which still represent the mechanical response of the material accurately. The construction method is based on the minimization of a least‐square functional considering suitable statistical measures describing the inclusion morphology of a given real microstructure. The mechanical response of the SSRVEs is compared to the response of the real microstructure in virtual mechanical tests. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)