For problems of antiplane shear, we propose a technique for the determination of spectral characteristics of SH-waves scattered by an elastic inclusion of piecewise smooth shape with a crack on the interface of media. The technique is based on using the null field method.
Similar content being viewed by others
References
V. T. Grinchenko and I. V. Vovk, Wave Problems of Sound Scattering in Elastic Shells [in Russian], Naukova Dumka, Kiev (1986).
I. Bond, M. Hucker, P. Weaver and S. Haq, “Mechanical behaviour of circular and triangular glass fibers and their composites,” Compos. Sci. Technol., 62, 1051–1061 (2002).
V. F. Emets, H. S. Kit, and Ya. I. Kunets, “Interaction of time-harmonic SH waves with a crack-like inclusion: edge region analysis,” Int. J. Fracture, 94, 51–62 (1998).
H. S. Kit, V. F. Emets’, and Ya. I. Kunets’, “A model of the elastodynamic interaction of a thin-walled inclusion with a matrix under antiplanar shear,” Mat. Met. Fiz.-Mekh. Polya, 41, No. 1, 54–61 (1998); English translation: J. Math. Sci., 97, 3810–3816 (1999).
Y. I. Kunets, V. V. Matus, V. V. Mykhas’kiv, A. Boström, and C. Zhang, “Scattering of a SH-wave by an elastic fiber of nonclassical cross section with an interface crack,” Mech. Compos. Mater., 44, 165–172 (2008).
V. V. Matus and Ya. I. Kunets, “Null field method of SH-wave scattering by partially debonded elastic inclusion,” in: Proc. of the 13th Int. Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory DIPED–2008, Lviv–Tbilisi (2008), pp. 176–178.
V. V. Matus, Ya. I. Kunets, V. V. Porochovs’kyj, and V. O. Mishchenko, “Scattering of longitudinal wave by partially debonded elastic fiber,” in: Proc. of the 14 th Int. Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory DIPED–2009, Lviv (2009), pp. 276–278.
Y. Shindo, T. Nakamura, and F. Narita, “The application of the boundary element method to the problem of wave diffraction from a diamond shaped inclusion,” Open Mech. J., 2, 62–66 (2008).
Y. Shindo, F. Narita, and T. Nakamura, “Scattering of elastic waves by a star shaped inclusion,” Z. Angew. Math. Mech., 88, No. 3, 62–66 (2008).
V. K. Varadan, V. V. Varadan, and S. J. Tsao, “Scattering of acoustic waves by rigid cylindrical objects with sharp corners,” J. Acoust. Soc. Am., 72, No. 6, 1957–1964 (1982).
D. J. N. Wall, V. V. Varadan, and V. K. Varadan, “Dynamic stress concentrations of cylindrical cavities with sharp and smooth boundaries: I. SH waves,” Wave Motion, 3, 203–213 (1981).
Y.-H. Wang and D. Wang, “Scattering of elastic waves by a rigid cylindrical inclusion partially debonded from its surrounding matrix. I. SH case,” Int. J. Solids Struct., 33, 2789–2815 (1996).
Y. Yang and A. N. Norris, “Shear wave scattering from a debonded fiber,” J. Mech. Phys. Solids., 39, 273–274 (1991).
Author information
Authors and Affiliations
Additional information
Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 4, pp. 145–149, October–December, 2010.
Rights and permissions
About this article
Cite this article
Matus, V.V. Modified null field method in a problem of scattering of SH-waves by a partially debonded elastic inclusion with a piecewise smooth contour. J Math Sci 174, 303–308 (2011). https://doi.org/10.1007/s10958-011-0299-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-011-0299-5