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Computational stability analysis of magnetorheological elastomers across scales
Author(s) -
Keip MarcAndré,
Polukhov Elten
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800402
Subject(s) - homogenization (climate) , magnetorheological elastomer , representative elementary volume , elastomer , finite element method , materials science , moduli , magnetorheological fluid , stability (learning theory) , instability , mechanics , microstructure , physics , structural engineering , composite material , computer science , magnetic field , engineering , biodiversity , ecology , quantum mechanics , machine learning , biology
The present contribution discusses the computational multiscale stability analysis of magnetorheological elastomers (MRE) across multiple length scales. The effective properties of the MRE are determined by means of computational homogenization over representative volume elements (RVE). Localization‐type macroscopic instabilities are detected by checking the strong‐ellipticity condition of homogenized moduli. At micro‐level, bifurcation‐type instabilities are treated by means of a finite‐element based Bloch‐Floquet wave analysis. The latter allows to find changed periodicities of microstructures as well as critical macroscopic loading points. Some representative numerical examples demonstrate various aspects of instabilities occurring in MREs.