Journal
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
Volume 131, Issue 5, Pages 3775-3785Publisher
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.3695393
Keywords
ceramics; elastic constants; inverse problems; shear modulus; silicon compounds; ultrasonic devices; ultrasonic materials testing
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Funding
- Czech Science Foundation [101/09/0702, 106/09/1573]
- IT ASCR [CEZ:AV0Z20760514]
- MICINN (Ministry of Science and Innovation, Spain) [MAT2009-09600]
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The applicability of resonant ultrasound spectroscopy on materials with weak spatial gradients in elastic coefficients and density is analyzed. It is shown that such gradients do not affect measurably the resonant spectrum but have a significant impact on the modal shapes. A numerical inverse procedure is proposed to explore the possibility of reconstructing the gradients from experimentally obtained modal shapes. This procedure is tested on synthetic data and applied to determine the gradient of the shear modulus in a continuously graded silicon nitride ceramic material. The results are in a good agreement with the gradient calculated for the examined material theoretically as well as with the results of other experimental methods. (C) 2012 Acoustical Society of America. [http://dx.doi.org/10.1121/1.3695393]
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