Volume 16, Issue 1 pp. 551-552
Section 8
Free Access

Computational Homogenisation using Reduced-Order Modelling applied to Hyperelasticity

Dominic Soldner

Corresponding Author

Dominic Soldner

Chair of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

phone +0049 9131 852 8510, fax +0049 91319 852 8503Search for more papers by this author
Benjamin Brands

Benjamin Brands

Chair of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

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Reza Zabihyan

Reza Zabihyan

Chair of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

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Paul Steinmann

Paul Steinmann

Chair of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

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Julia Mergheim

Julia Mergheim

Chair of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

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First published: 25 October 2016
Citations: 2

Abstract

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)

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