Premium
Study on statistically similar RVEs for real microstructures based on different statistical descriptors
Author(s) -
Scheunemann Lisa,
Balzani Daniel,
Brands Dominik,
Schröder Jörg
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510224
Subject(s) - microscale chemistry , microstructure , discretization , materials science , representative elementary volume , periodic boundary conditions , boundary value problem , point (geometry) , computer science , mathematics , metallurgy , mathematical analysis , geometry , mathematics education
A method for constructing statistically similar representative volume elements (SSRVEs) for a real dual‐phase (DP) steel microstructure is presented in this contribution. The advantageous material properties of such kind of steels originate from the interaction of the microstructure constituents of the material on the microscale. In order to capture these effects directly in the material modeling, the FE 2 method is a suitable tool, where an RVE representing the microstructure of a material is used in the microscopic boundary value problem, which is solved at each Gauss‐point of the macroscopic boundary value problem. However, RVEs based on real microstructures typically implicate high computational expenses due to the complexity of the underlying microstructure and its discretization. SSRVEs, which have a lower complexity than conventional RVEs but are still able to represent the material, can be used instead. Here, different statistical measures for the construction of SSRVEs and their comparison are the main focus. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)