Моделювання пружного поля, розсіяного міжфазним дефектом: Fìz.-mat. model. ìnf. tehnol. 2021, 33:45-51

• Datum: 2021
• Hauptverfasser: Nazarchuk, Zinoviy, Voytko, Myron, Kulynych, Yaroslav, Kuryliak, Dozyslav
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2021
• Schlagworte: пружний шар; дефект; жорстке з’єднання; імпеданс; нормальна SH-хвиля; метод Вінера-Гопфа
• Online Zugang: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/200
• Назва журналу: Physico-mathematical modeling and informational technologies

The problem of the shear-wave (SH-wave) diffraction from the semi-infinite interface defect in the rigid junction of the elastic layer and the half-space is solved. The defect is modeled by the impedance surface. The dependences of the scattered displacement field, reflection and transmission coefficients on the structure parameters are presented in analytical form. The examples of numerical modeling of field characteristics are provided. References Graff, K. F. (1975). Wave motion in elastic solids. New York: Dover Publications. Collin, R.E. (1991). Field theory of guided waves. New York: Wiley-IEEE Press. Miklowitz, J. (1978). The theory of elastic waves and waveguides. Amsterdam, New York, Oxford: North-Holland Publishing Company. Cheng, J., Liu, J. J., Nakamura, G. (2003). Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern. J. Math. Kyoto U., 43, 165‒186. DOI https://doi.org/10.1215/kjm/1250283745 Nazarchuk, Z. T., Kuryliak, D. B., Voytko, M. V., Kulynych, Ya. P. (2013). On the interaction of an elastic SH-wave with an interface crack in the perfectly rigid joint of a plate with a half-space. J. Math. Sci., 192(6), 609‒622. DOI https://doi.org/10.1007/s10958-013-1420-8 Kurylyak, D. B., Nazarchuk, Z. T., Voitko, M. V. (2006). Analysis of the field of a plane SH-wave scattered by a finite crack on the interface of materials. Materials Science, 42(6), 711‒724. DOI https://doi.org/10.1007/s11003-006-0139-9 Semkiv, M. Ya. (2011). Diffraction of normal SH-waves in a waveguide with a crack. Acoustic Bulletin, 14(2), 57–69. Mittra, R., Lee, S. W. (1971). Analytical Techniques in the Theory of Guided Waves. New York: Macmillan. Noble, B. (1958). Methods based on the Wiener-Hopf technique for the solution of partial differential equations, Belfast, Northern Ireland: Pergamon Press. Kress, R., Lee, K.-M. (2003). Integral equation methods for scattering from an impedance crack. J. of Computational and Appl. Math., 161(1),. 161‒177. DOI https://doi.org/10.1016/s0377-0427(03)00586-7 Voytko, M. V., Kulynych, Ya. P., Kuryliak, D.B. (2020). SH-wave scattering from the interface defect. Advances in Cyber-Physical Systems, 5(1), 45–50. DOI https://doi.org/10.23939/acps2020.01.045 Tan, T. H. (1977). Reciprocity relations for scattering of plane, elastic waves. J. Acoust. Soc. Am., 61(4), 928–931. DOI https://doi.org/10.1121/1.381393