Abstract
The null-field method is applied to two-dimensional problems on P- and SV-waves scattering on an elastic inclusion of non-classical shape with a thin interphase layer of low rigidity. The interaction between the inclusion and its surrounding is modeled by means of the effective conditions imposed on the contour of the inclusion. The amplitudes of the scattering waves are analyzed in a far-wave field.
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References
Martin, P.A.: Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers. J. Nondestr. Eval. 11, 167–174 (1992)
Wong, D.C., Sung, J.C.: Dynamic response of an inclusion with compliant interface in an elastic medium due to a plane shear wave. Appl. Math. Model. 18, 3–13 (1994)
Wang, X., Sudak, L.J.: Scattering of elastic waves by multiple elastic circular cylinders with imper-fect interface. Waves Random Complex Media 17(2), 159–187 (2007)
Butrak, I.O., Kil’nitskaya, T.I., Mykhas’kiv, V.V.: The scattering of an harmonic elastic wave by a volume inclusion with a thin interlayer. J. Appl. Math. Mech. 76(3), 342–347 (2012)
Liu, Z., Zhang, X., Mao, Y., Zhu, Y.Y., Yang, Z., Chan, C.T., Sheng, P.: Locally resonant sonic materials. Science 289, 1734–1736 (2000)
Kunets, Y., Kushnir, R., Matus, V., Trofymchuk, O.: Interaction of antiplane shear waves with elastic fiber in the presence of a thin interphace piezoceramic layer. In: Gdoutos, E. (ed.) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics, Structural Integrity, vol. 5, pp. 401–403. Springer, Berlin (2019)
Kit, H.S., Kunets, Y.I., Yemets, V.F.: Elastodynamic scattering from a thin-walled inclusion of low rigidity. Int. J. Eng. Sci. 37, 331–345 (1999)
Matus, V., Kunets, Y., Mykhas’kiv, V., Boström, A., Zhang, Ch.: Wave propagation in 2-D elastic composites with partially debonded fibers by the null field approach. Waves Random Complex Media 19, 654–669 (2009)
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Kushnir, R., Kunets, Y., Matus, V., Trofymchuk, O. (2019). Plane Scattering Problem for an Inclusion of Non-classical Shape with a Thin Interphase Layer. In: Gdoutos, E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-030-21894-2_40
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DOI: https://doi.org/10.1007/978-3-030-21894-2_40
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