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Towards a stable and fast dynamic skeletal muscle model

, 1 , * , 2 , 1

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dynamic, nonlinear, DAE, MOR, POD

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      Abstract

      Forward simulations of three-dimensional, continuum-mechanical skeletal muscle models are computationally demanding and expensive. To adequately represent the muscles’ mechanical behaviour, a fully dynamic modelling framework based on the theory of finite hyperelasticity, which accounts for the highly nonlinear, anisotropic, viscoelastic and incompressible material behaviour, needs to be established. Discretisation of the governing equations yields a nonlinear second-order differential algebraic equation (DAE) system, which represents a challenge for solution strategies as well as for the application of model order reduction techniques. In this contribution, we will compare different solution strategies (DAE index reduction, different solvers) as well as the performance of reduced order models obtained by means of Galerkin and Petrov-Galerkin projection using different projection and test spaces.

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      Affiliations
      [1 ]University of Stuttgart, Institute of Applied Mechanics
      [2 ]University of Stuttgart, Institute of Applied Analysis and Numerical Simulation
      [* ]Correspondence: mylena.mordhorst@ 123456mechbau.uni-stuttgart.de
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      ScienceOpen
      27 April 2018
      10.14293/P2199-8442.1.SOP-MATH.MTLYBN.v1
      Copyright © 2018

      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.

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