The high-frequency description of scatter of a plane compressional wave by an elliptic crack |
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| Authors: | L.Ju. Fradkin R. Stacey |
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| Affiliation: | 1. Electricité de France, Recherche et Développement, Les Renardières, 77818 Moret sur Loing, France;2. Electricité de France, Recherche et Développement, 92141 Clamart, France;1. Department of Civil and Environmental Engineering, Tohoku Gakuin University, 1-13-1 Chuo, Tagajo 985-8537, Japan;2. Department of Civil Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan;3. Department of Environmental Systems Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu 525-8577, Japan;4. Department of Civil Engineering, University of Nebraska, 844 N. 16th St., N104 SLNK Lincoln, NE 68588-6105, USA;1. Department of Engineering Mechanics, Wuhan University, Wuhan 430072, China;2. Department of Civil Engineering, Monash University, Melbourne 3800, Australia;1. National and Local Joint Engineering Research Center of Reliability Analysis and Testing for Mechanical and Electrical Products, Zhejiang Sci-Tech University, Hangzhou, 310018, China;2. College of Mechanical Engineering, Zhejiang University, Hangzhou, 310000, China |
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| Abstract: | High-frequency approximations that can be interpreted in terms of the Uniform Geometrical Theory of Diffraction (UGTD) and Uniform Kirchhoff Approximation (UKA) are used to develop a code for modeling ultrasonic scatter of a plane compressional wave by an elliptic crack in the radiating near field. The approximations are intercompared and partially validated against a direct numerical code based on an FD (Finite-Difference) scheme. At present, in many realistic situations the approximate codes of the type described here offer the only viable simulation tool; purely numeric codes are not only much slower, they still require too much computer memory to simulate the complex structure of the radiating near fields. |
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