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We proposed an approach for interpretable data‐driven modeling of an isotropic incompressible hyperelastic membrane deformation. The approach is based on the response functions in terms of the Laplace stretch and the finite element method, where response functions are partial derivatives of a hyperelastic potential with respect to the chosen strain measure. The Laplace stretch as the strain measure...
The paper addresses the numerical solution of fluid–structure interaction (FSI) problems involving incompressible viscous Newtonian fluid and hyperelastic material. A well known challenge in computing FSI systems is to provide an effective time-marching algorithm, which avoids numerical instabilities due to the loose coupling of fluid and structure motion on the FSI interface. In this work, we introduce...
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