Finite Element Approximation of Fluid‐Structure Interaction with Coupled Wave Propagation

In this contribution, a concept of coupling the fluid‐structure interaction (FSI) with an ultrasonic wave propagation is proposed. It is referred to as the extended Fluid‐Structure Interaction (eXFSI) problem. The eXFSI is a one‐directional coupling of typical FSI problem with an ultrasonic wave propagation in fluid‐solid and their interaction (WpFSI). Notably, the WpFSI is a strongly coupled problem of acoustic and elastic wave equations and automatically adopts the boundary conditions from the FSI problem at each time step. To the best of our knowledge, such a model is novel in the literature. The principal aim we pursue is to explore and develop concept of the efficient numerical solution of the eXFSI problem. The solution of the eXFSI and WpFSI models constitute an important part of on‐live and off‐live structural health monitoring (SHM) systems design for composite material and lightweight structures. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)