Scattering of guided shear waves in plates with discontinuities |
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| Affiliation: | 1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, via Gramsci 53, 00197 Roma, Italy;2. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, via Eudossiana 18, 00185 Roma, Italy;1. University of Southampton, Southampton, UK;2. Enabling Process Technologies, Portishead, UK;3. Coal Stations Fleet, EDF Energy, West Burton, UK;1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;2. LTCS and Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;1. Institute of Modern Manufacture Engineering, Zhejiang University, China;2. Key Laboratory for Biomedical Engineering of Ministry of Education, Zhejiang University, China;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;2. Centre for Nondestructive Evaluation and Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, Tamil Nadu, India |
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| Abstract: | This paper investigates the interaction of the SH0 mode with discontinuities in plate waveguides. The scattered fields are evaluated using a novel method that exploits the principle of reciprocity in elastodynamics. The results obtained compare to those provided by a finite element model. Very good agreement between the analytical and numerical models proves the effectiveness of the proposed approach, enabling us to clearly elucidate the role of the different size and shape parameters involved. The discontinuities considered are single and double sharp reductions of plate height of different amounts and lengths, where both symmetric and nonsymmetric one-sided notch cases are treated. Regimes related to low and high values of the product frequency and height of the plate are investigated, showing the dependence of reflection and transmission coefficients on length and height of the discontinuity, as well as the occurrence of mode conversion. The analytical approach proposed leads to a better understanding of the interaction of guided waves with discontinuities, which may stimulate the application of guided waves to defect sizing rather than to simple detection. |
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| Keywords: | Shear waves Reflection and transmission coefficients Discontinuities Reciprocity in elastodynamics Plate waveguide |
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