A three-dimensional analytical model for interpreting contact acoustic nonlinearity generated by a "breathing" crack

Kai Wang; Zhongqing Su; Shenfang Yuan

doi:10.1117/12.2258202

5 April 2017 A three-dimensional analytical model for interpreting contact acoustic nonlinearity generated by a "breathing" crack

Kai Wang, Zhongqing Su, Shenfang Yuan

Author Affiliations +

Proceedings Volume 10170, Health Monitoring of Structural and Biological Systems 2017; 101701X (2017) https://doi.org/10.1117/12.2258202
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2017, Portland, Oregon, United States

Abstract

Extending a two-dimensional analytical framework previously developed for understanding contact acoustic nonlinearity (CAN) in a beam-like structure bearing a contact crack^[1], this study reports an analytical model for interpreting CAN induced due to the modulation from a “breathing” crack in a plate-like structure on propagating guided ultrasonic waves (GUWs) in a three-dimensional (3-D) scenario. The “breathing” crack is considered, in a 3-D manner, as a second source to excite additional wave fields. Thorough investigation of the interaction between the probing GUWs and the “breathing” crack leads to explicit, analytical and full-field description of additional wave fields. In this study, influences of reflected and diffracted waves by the crack on the motion of crack surfaces are scrutinized, yielding a depiction of the “breathing” behavior of the crack, beneficial for quantifying the crack-induced source at double frequency, with which the crack-induced nonlinearity (i.e. second harmonic) can be evaluated quantitatively, in conjunction with the use of an elasto-dynamic method. A nonlinearity index is consequently defined to represent the severity of the “breathing” crack. Results obtained from the 3-D model are compared with those from a finite element simulation, to affirm good agreement. This model does not request a benchmarking process against baseline signals for evaluation of damage.

Conference Presentation

Citation Download Citation

Kai Wang, Zhongqing Su, and Shenfang Yuan "A three-dimensional analytical model for interpreting contact acoustic nonlinearity generated by a "breathing" crack", Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 101701X (5 April 2017); https://doi.org/10.1117/12.2258202

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available