So far, mathematical modelling of Lamb wave propagation under fluid-structure interaction (FSI) was limited to the case of rigid structure. We extend this concept to account for structural dynamics. Thereby, we provide a model that is suitable for the structural health monitoring (SHM) during the operation of the structure. The model we develop is referred to as the “eXtended Fluid-Structure Interaction” (eXFSI) problem, which is a one-directional coupling of typical FSI problem with an ultrasonic wave propagation in fluid-solid and their interface (WpFSI). Here, the strongly coupled problem of acoustic & elastic wave equations is denoted by WpFSI. Next, we explore the approach to the efficient numerical solution of the problem. We use a combination of Finite Element and Finite Difference methods and employ a dual-loop algorithm to balance the computational cost and quality of the numerical solution. To facilitate our solution algorithm, we rely upon the software library package DOpElib.
Numerical Modeling and Approximation of the Coupling Lamb Wave Propagation With Fluid-Structure Interaction Problem
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Ebna Hai, BSM, & Bause, M. "Numerical Modeling and Approximation of the Coupling Lamb Wave Propagation With Fluid-Structure Interaction Problem." Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition. Volume 9: Mechanics of Solids, Structures, and Fluids. Pittsburgh, Pennsylvania, USA. November 9–15, 2018. V009T12A002. ASME. https://doi.org/10.1115/IMECE2018-87448
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