Fluid-Structure Interactions


The solution of fluid-structure interaction (FSI) problem needs four key issues to be specified: (1) solution of the governing flow equations; (2) solution of the equations of the deformable body; (3) tracking of the fluid/solid interface; and (4) interface-boundary conditions representing the mutual influence of the fluid and solid. Since the fluid/solid interface can deform in space and time, the equations for both the fluid and the solid have to be solved in complex domains. Therefore, computationally effective strategies for both the fluid and the solid have to be used. Here, a numerical FSI-based method is used which is capable of handling unprescribed motion of the solid. To accommodate the simulation for high stiffness solid, a fourth-order Jacobian tensor is used to overcome the difficulty associated with the difference between the constitutive laws of the solid and fluid. Also, the present study deals with the experimental characterization of silicone as a hyperelastic material. The neo-Hookean constitutive equation is used for this purpose. The neo-Hookean model is used for small deformations and involves only one material parameter and it is able to predict the material response for different types of loading conditions.

Figure below, shows the results of the simulations in comparison with the experiments in which a sphere made of silicone moves in air and impacts onto a rigid substrate. The surface roughness of the solid and substrate are neglected.


hyperelastic impact

Comparison of (a) the numerical results with (b) experimental results of the motion of a hyperelastic sphere.



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