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Computational Homogenisation using Reduced‐Order Modelling applied to Hyperelasticity
Author(s) -
Soldner Dominic,
Brands Benjamin,
Zabihyan Reza,
Steinmann Paul,
Mergheim Julia
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610264
Subject(s) - hyperelastic material , nonlinear system , interpolation (computer graphics) , elasticity (physics) , context (archaeology) , boundary value problem , nonlinear elasticity , mathematics , tensor (intrinsic definition) , mathematical optimization , computer science , mathematical analysis , materials science , geometry , physics , composite material , animation , paleontology , computer graphics (images) , quantum mechanics , biology
Within this study nonlinear reduced‐order modelling for hyperelastic material is applied for the boundary value problem on the micro‐scale which arises in the context of computational homogenisation. This involves the Proper Orthogonal Decomposition and the Discrete Empirical Interpolation Method for the nonlinear term. Considered error measures are the errors of the displacement field, the averaged stresses and the effective elasticity tensor. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)