A model reduction approach for hyperelastic materials based on Proper Orthogonal Decomposition | Zendy

Hürkamp André | Zendy; Kaliske Michael | Zendy

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A model reduction approach for hyperelastic materials based on Proper Orthogonal Decomposition

Author(s) -

Hürkamp André,

Kaliske Michael

Publication year - 2015

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201510092

Subject(s) - hyperelastic material , reduction (mathematics) , parametric statistics , decomposition , proper orthogonal decomposition , parametric model , computer science , materials science , mathematics , algorithm , biological system , structural engineering , mechanics , physics , chemistry , engineering , finite element method , geometry , turbulence , statistics , biology , organic chemistry

In this contribution, we present a model reduction approach for hyperelastic materials based on Proper Orthogonal Decomposition. A separation of the solution into time and space dependent functions is performed, which allows to compute reduced solutions within real time. The functionality of the method is demonstrated by a tensile test and is further applied to a stochastic analysis and a multi‐parametric analysis involving non‐linear material behaviour and large deformations. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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