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University proceedings. Volga region. Physical and mathematical sciences, 2012, Issue 3, Pages 73–83
(Mi ivpnz475)
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Mathematics
Elastic wave diffraction on a layer with fractal density distribution
A. V. Anufrievaa, K. B. Igudesmanb, D. N. Tumakova a Institute of Computer Science and Information Technology, Kazan Federal University, Kazan
b Institute of Mathematics and Mechanics, Kazan Federal University, Kazan
Abstract:
The authors consider the diffraction of elastic wave on a layer with the fractal density. The problem is reduced to a system of ordinary differential equations with linear coefficients and its analytical decision is found. The researchers numerically investigate a layer with a fractal density, find peaks of energy of the reflected wave and illustrate dependence of reflected energy from self-similar properties of the fractal density.
Keywords:
diffraction, elastic wave, fractal interpolation.
Citation:
A. V. Anufrieva, K. B. Igudesman, D. N. Tumakov, “Elastic wave diffraction on a layer with fractal density distribution”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3, 73–83
Linking options:
https://www.mathnet.ru/eng/ivpnz475 https://www.mathnet.ru/eng/ivpnz/y2012/i3/p73
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Abstract page: | 32 | Full-text PDF : | 9 | References: | 14 |
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