We propose a computational model of the emission of acoustic signals accompanying the fracture processes in composite materials caused by the formation of several cracks regarded as separate events of macrocrack initiation. We perform the numerical analysis of the components of the vector of displacements for some typical cases of the relative location of two simultaneously formed penny-shaped cracks. The analysis of the modulus of the vector of displacements reveals the direct proportionality between its maximum values and the total area of the formed defects that, as well as the inverse proportionality between the same quantities and the period of relaxation of stresses on the cracks lips.
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V. R. Skal’s’kyi and P. M. Koval’, Acoustic Emission in the Process of Fracture of Materials, Products, and Structures. Methodological Aspects of the Selection and Processing of Information [in Ukrainian], Spolom, Lviv (2005).
Z. T. Nazarchuk and V. R. Skal’s’kyi, Acoustic-Emission Diagnostics of Structural Elements: A Textbook [in Ukrainian], Vol. 1: Theoretical Foundations of the Method of Acoustic Emission, Naukova Dumka, Kyiv (2009).
O. E. Andreikiv, V. R. Skal’s’kyi, and G. T. Sulym, Theoretical Foundations of the Method of Acoustic Emission in Fracture Mechanics [in Ukrainian], Spolom, Lviv (2007).
Ya. Ya. Rushchyts’kyi and S. I. Tsurpal, Waves in Materials with Microstructure [in Ukrainian], Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv (1998).
O. Ye. Andreykiv, M. V. Lysak, O. M. Serhienko, and V. R. Skalsky, “Analysis of acoustic emission caused by internal crack,” Eng. Fract. Mech., 68, No. 7, 1317–1333 (2001).
H. N. G. Wadley and C. B. Scruby, “Elastic wave radiation from cleavage crack extension,” Int. J. Fract., No. 23, 111–128 (1983).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).
M. A. Kaplitskii, I. A. Parinov, and E. V. Rozhkov, “Asymptotics of the exact solution of the problem of mode-I crack and determination of its length according to the signals of acoustic emission,” in: Abstr. of the First All-Union Conf. “Acoustic Emission of Materials and Structures” [in Russian], Part 1, Rostov State Univ., Rostov-on-Don (1984), pp. 7–8.
O. M. Serhienko, Modeling of Crack Initiation and Propagation of in Three-Dimensional Deformable Bodies by Using the Method of Acoustic Emission [in Ukrainian], Author’s Abstr. of the Candidate-Degree Thesis (Physics and Mathematics), Lviv (1996).
N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing, Springer, Berlin (1975).
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 47, No. 3, pp. 94–102, May–June, 2011.
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Nazarchuk, Z.T., Skal’s’kyi, V.R., Serhienko, O.M. et al. Estimation of the modulus of the vector of displacements in the process of simultaneous formation of cracks in the composites. Mater Sci 47, 375–385 (2011). https://doi.org/10.1007/s11003-011-9406-5
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DOI: https://doi.org/10.1007/s11003-011-9406-5