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      Model order reduction of dynamic skeletal muscle models

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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.

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

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          Abstract

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

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