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Efficient and accurate two‐scale simulation of non‐linear heterogeneous microstructures
Author(s) -
Kochmann Julian,
Wulfinghoff Stephan,
Svendsen Bob,
Reese Stefanie
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710369
Subject(s) - viscoplasticity , simple (philosophy) , scale (ratio) , microstructure , constitutive equation , fast fourier transform , work (physics) , scheme (mathematics) , computer science , mathematics , micromechanics , computational science , mathematical optimization , algorithm , materials science , mathematical analysis , mechanical engineering , physics , finite element method , composite material , engineering , thermodynamics , epistemology , philosophy , quantum mechanics , composite number
This work is concerned with the development of an efficient two‐scale numerical scheme for the prediction of the local and effective mechanical response of heterogeneous materials with non‐linear constitutive behavior. In order to ensure both, accurate micromechanical fields and feasible overall CPU‐times, an efficient but rather simple solution scheme is proposed. Its capabilities are demonstrated using the FE‐FFT method [2,3] for the solution of simple two‐scale problems. As an example, two‐dimensional polycrystalline microstructures with an elasto‐viscoplastic constitutive law are considered. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)