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Calculation of guided wave interaction with nonlinearities and generation of harmonics in composite structures through a wave finite element method

Chronopoulos, Dimitrios

Authors

Dimitrios Chronopoulos



Abstract

The extensive usage of composite materials in modern industrial applications implies a great range of possible structural failure modes for which the structure has to be frequently and thoroughly inspected. Nonlinear guided wave inspection techniques have been continuously gaining attention during the last decade. This is primarily due to their sensitivity to very small sizes of localised damage. A number of complex transformation phenomena take place when an elastic wave impinges on a nonlinear segment, including the generation of higher and sub-harmonics. Moreover, the transmission and reflection coefficients of each wave type become amplitude dependent. In this work, a generic Finite Element (FE) based computational scheme is presented for quantifying guided wave interaction effects with Localised Structural Nonlinearities (LSN) within complex composite structures. Amplitude dependent guided wave reflection, transmission and conversion is computed through a Wave and Finite Element (WFE) method. The scheme couples wave propagation properties within linear structural waveguides to a LSN and is able to compute the generation of higher and sub-harmonics through a harmonic balance projection. A Newton-like iteration scheme is employed for solving the system of nonlinear differential equations. Numerical case studies are presented for waveguides coupled through a joint exhibiting nonlinear mechanical behaviour.

Citation

Chronopoulos, D. (2018). Calculation of guided wave interaction with nonlinearities and generation of harmonics in composite structures through a wave finite element method. Composite Structures, 186, https://doi.org/10.1016/j.compstruct.2017.12.034

Journal Article Type Article
Acceptance Date Dec 12, 2017
Online Publication Date Dec 13, 2017
Publication Date Feb 15, 2018
Deposit Date Jan 4, 2018
Publicly Available Date Mar 29, 2024
Journal Composite Structures
Print ISSN 0263-8223
Electronic ISSN 0263-8223
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 186
DOI https://doi.org/10.1016/j.compstruct.2017.12.034
Keywords Wave interaction with damage; Finite elements; Composite structures; Nonlinear ultrasound; Structural nonlinearities
Public URL https://nottingham-repository.worktribe.com/output/911792
Publisher URL https://www.sciencedirect.com/science/article/pii/S0263822317318408

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