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Model order reduction of dynamic skeletal muscle models

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

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      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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