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8 April 2009 Numerical modeling of frictional heating based vibrothermography
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This paper investigates the use of finite element to model frictional heating based vibrothermography for the detection of fatigue cracks in steel specimens. First, a finite element modal analysis is carried out to predict the optimal excitation frequencies. Some thermographic experiments using an infrared camera are carried out to help updating a coupled thermo-mechanical model built to simulate the thermographic inspection process and to explain the heat generation and transfer related to it. Experimental investigations also confirmed that the technique is able to detect cracks as short as 0.1 mm. The developed model is able to simulate the thermographic inspection process with a maximum error of 2.13 % on the temperature distribution. The Fourier transform applied to numerical data reveals that the temperature evolution at the crack face changes according to the excitation frequency and is modulated due to the nonlinearity induced by the crack. The model also serves to confirm that the test is non-destructive since the calculated stress at the crack tip is less than the specimen material's yield stress.
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Farid Mabrouki, Marc Thomas, Marc Genest, and Abbas Fahr "Numerical modeling of frictional heating based vibrothermography", Proc. SPIE 7295, Health Monitoring of Structural and Biological Systems 2009, 72951F (8 April 2009);

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