Diffraction of elastic waves by an inclined crack in a layer |
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| Affiliation: | 1. Department of Mechanical Engineering, Imperial College, London SW7 2AZ, UK;2. Department of Mathematics, Imperial College, London SW7 2AZ, UK;1. Department of Civil Engineering, Tianjin University, Tianjin 300072, China;2. Key Laboratory of Coast Civil Structure Safety (Tianjin University), Tianjin 300072, China;1. Applied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, 10330, Thailand;2. Department of Civil Engineering, Faculty of Engineering, Burapha University, 20131, Thailand;3. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan;4. Faculty of Civil Engineering, Ho Chi Minh City University of Technology, Vietnam National University Ho Chi Minh City, 740128, Vietnam;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 |
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| Abstract: | ![]()
For the problem of the diffraction of normal modes by an inclined crack in an elastic layer, an integral equation with explicit representation of the Fourier symbol kernel is derived in the form of the product of matrices. The algorithm for calculating the wave fields, based on the analytical representations obtained, enables a rapid parametric analysis to be carried out of the influence of the size and orientation of the crack on the transmission of travelling waves. The influence of the inclination of the crack on the effects of resonance trapping and localization of wave energy, which were established previously for the case of a horizontal crack, is analysed. |
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