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Finite Element Approximation of Fluid‐Structure Interaction with Coupled Wave Propagation
Author(s) -
Ebna Hai Bhuiyan Shameem Mahmood,
Bause Markus
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710225
Subject(s) - fluid–structure interaction , finite element method , coupling (piping) , ultrasonic sensor , wave propagation , boundary value problem , acoustics , structural health monitoring , computer science , boundary (topology) , boundary element method , principal (computer security) , physics , mechanics , mathematical analysis , structural engineering , mathematics , mechanical engineering , engineering , optics , operating system
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)