Forward simulations of three-dimensional continuum-mechanical skeletal muscle models are a complex and computationally expensive problem. Moreover, considering a fully dynamic modelling framework based on the theory of finite elasticity is challenging as the muscles’ mechanical behaviour requires to consider a highly nonlinear, anisotropic, viscoelastic and incompressible material behaviour. The governing equations yield a nonlinear second-order differential algebraic equation (DAE) system, which represents a challenge for model order reduction techniques.

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Author and article information

Conference

Title: ScienceOpen Posters

Publisher: ScienceOpen

Publication date: January 05 2016

Author information

Mylena Mordhorst https://orcid.org/0000-0001-7186-1949

Article

DOI: 10.14293/P2199-8442.1.SOP-ENG.PTP8DS.v1

SO-VID: 6dff4503-e965-411b-91e0-dc0f47c7f052

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This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

Conference name: MoRePaS 2015 - Model Reduction of Parametrized Systems III

History

ScienceOpen disciplines: Differential equations & Dynamical systems,Engineering,Biomedical engineering,Nonlinear & Complex systems,Mechanical engineering,Mathematical modeling & Computation

Keywords: MOR, FE, POD, DEIM, muscle, DAE, continuum mechanics

Model order reduction of dynamic skeletal muscle models

Abstract