Abstract
The propagation of harmonic elastic wave in an infinite three-dimensional matrix containing an interacting low-rigidity disk-shaped inclusion and a crack. The problem is reduced to a system of boundary integral equations for functions that characterize jumps of displacements on the inclusion and crack. The unknown functions are determined by numerical solution of the system of boundary integral equations. For the symmetric problem, graphs are given of the dynamic stress intensity factors in the vicinity of the circular inclusion and the crack on the wavenumber for different distances between them and different compliance parameters of the inclusion.
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References
S. K. Kanaun and V. M. Levin, Self-Consistent Methods for Composites, Vol. 2: Wave Propagation in Heterogeneous Materials (Springer, Heidelberg, 2008)
V. E. Panin, E. E. Deryugin, and S. N. Kul’kov, “Mesomechanics Material Strengthening by Nanodisperse Inclusions,” Prikl. Mekh. Tekh. Fiz. 51(4), 127–142 (2010) [J. Appl. Mech. Tech. Phys. 51 (4), 555–568 (2010)].
V. I. Marukha, V. V. Panasyuk, and V. P. Silovanyuk, Injection Technologies for the Repair of Damaged Facilities Intended for Long Use (Spolom, Lviv, 2009).
E. I. Shifrin, Spatial Problems of Linear Fracture Mechanics (Fizmatlit, Moscow, 2002) [in Russian].
E. V. Glushkov, N. V. Glushkova, M. V. Golub, “Diffraction of Elastic Waves by an Oblique Crack in a Layer,” Prikl. Mat. Mekh. 71(4), 702–715 (2007).
A. O. Vatul’yan, P. A. Azarova, and O. V. Yavruyan, “Identification of Parameters of an Inclined Linear Crack in a Viscoelastic Layer,” Mekh. Kompoz. Mater. Konstr. 14(3), 461–472 (2008).
V. V. Mykhas’kiv, Ch. Zhang, J. Sladek, and V. Sladek, “A Frequency Domain BEM for 3D Non-Synchronous Crack Interaction Analysis in Elastic Solids,” Eng. Anal. Boundary Elements 30(3), 167–175 (2006).
M. V. Menshykova, O. V. Menshykov, V. A. Mikucka, and I. A. Guz, “Interface Cracks with Initial Opening under Harmonic Loading,” Composit. Sci. Technol. 72(10), 1057–1063 (2012).
V. V. Mykhas’kiv and O. M. Khay, “Interaction between Rigid-Disc Inclusion and Penny-Shaped Crack under Elastic Time-Harmonic Wave Incidence,” Int. J. Solids Structures 46(3/4), 602–616 (2009).
V. T. Grinchenko and V. V. Meleshko, Harmonic Oscillations and Waves in Elastic Solids (Kiev, Naukova Dumka, 1981).
G. S. Kit, Ya. I. Kunets, and V. V. Mihas’kiv, “Interaction between a StationaryWaves and a Thin Disk-Shaped Inclusion of Low Rigidity in an Elastic Body,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 5, 82–89 (2004).
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Original Russian Text © V.V. Mikhas’kiv, I.O. Butrak, I.P Laushnik.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 54, No. 3, pp. 141–148, May–June, 2013.
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Mikhas’kiv, V.V., Butrak, I.O. & Laushnik, I.P. Interaction between a compliant disk-shaped inclusion and a crack upon incidence of an elastic wave. J Appl Mech Tech Phy 54, 465–471 (2013). https://doi.org/10.1134/S0021894413030164
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DOI: https://doi.org/10.1134/S0021894413030164