Abstract
Photoelastic plates made of an orthotropic material are used to model the dynamic stress state near free and reinforced circular holes under blast loading. The diffraction of stress waves by holes in a thin-walled plate is studied. Experimental data are used to analyze the dynamic stress concentration in a plate with a hole in which quasilongitudinal and quasitransverse waves propagate
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K. S. Aleksandrov and G. T. Prodaivoda, Elastic Anisotropy of Minerals and Rocks [in Russian], Izd. SO RAN, Novosibirsk (2000).
A. N. Guz and V. T. Golovchan, Diffraction of Elastic Waves in Multiply Connected Bodies [in Russian], Naukova Dumka, Kyiv (1972).
V. D. Kubenko, A. É. Babaev, E. I. Bespalova, et al., Dynamics of Structural Members, Vol. 9 of the 12-volume series A. N. Guz (ed.), Mechanics of Composite Materials [in Russian], A.S.K., Kyiv (1999).
A. V. Dmokhovskii and Z. G. Alpaidze, “Concentration of dynamic stresses in models of circular tunnels with lining subjected to the action of longitudinal waves,” Tr. Mosk. Inzh.-Stroit. Inst. V. V. Kuibysheva, No. 125–126, 178–181 (1974).
V. B. Zateev, “Experimental research into the diffraction of a transverse stress S-wave by circular holes,” Tr. Mosk. Inzh.-Stroit. Inst. V. V. Kuibysheva, No. 104, 50–55 (1972).
A. I. Zirka, M. P. Malezhik, I. S. Chernyshenko, and G. P. Sheremet, “Near-boundary stress wave field in anisotropic plates under impulsive load,” Int. Appl. Mech., 40, No. 7, 810–813 (2004).
P. Z. Lugovoi and Z. Baranovskii, “Interaction of discontinuous waves with curvilinear interfaces in anisotropic elastic rock,” Systemni Tekhnologii, 3(37), 95–99 (2006).
M.P. Malezhik, “Photoelastic analysis of dynamic stresses in structurally anisotropic bodies,” Dop. NAN Ukrainy, No. 10, 44–48 (2002).
M. P. Malezhik, “Approximate method for stress and strain separation in the dynamic photoelasticity of anisotropic bodies,” Nauk. Visti Nats. Tekhn. Univ. Ukrainy “KPI”, No. 3, 69–74 (2005).
C. C. Mow and L. J. Mente, “Dynamic stresses and displacements around cylindrical discontinuities due to plane harmonic shear waves,” Trans. ASME, J. Appl. Mech., 30, No. 4, 598–604 (1963).
V. P. Pustovoitenko, Geotechnical Support of Underground Construction in Ukraine [in Ukrainian], Naukova Dumka, Kyiv (1999).
N. A. Strel’chuk, G. L. Khesin, I. Kh. Kostin, et al., “Solution of some problems in wave dynamics by the photoelastic method,” in: Proc. 7th All-Union Conf. on Photoelastic Stress Analysis [in Russian], Vol. 3, Izd. AN ÉSSR, Tallinn (1971), pp. 101–110.
N. N. Fotieva, Design of Lining for Underground Structures in Seismic Areas [in Russian], Nedra, Moscow (1980).
G. L. Khesin, I. V. Zhavoronok, V. N. Sakharov, et al., “Study of the stress concentration around holes caused by a compressional wave in thin plates,” Tr. Mosk. Inzh.-Stroit. Inst. V. V. Kuibysheva, No. 73, 33–44 (1970).
J. W. Dally and W. F. Halbleib, “Dynamic stress concentrations at circular holes in struts,” J. Mech. Eng. Sci., 7, No. 1, 17–22 (1965).
M. P. Malezhik, I. S. Chernyshenko, and G. P. Sheremet, “Photoelastic simulation of the stress wave field around a tunnel in an anisotropic rock mass subject to shock load,” Int. Appl. Mech., 42, No. 8, 948–950 (2006).
M. P. Malezhik, O. P. Malezhik, and I. S. Chernyshenko, “Photoelastic Determination of Dynamic Crack-Tip Stresses in an Anisotropic Plate,” Int. Appl. Mech., 42, No. 5, 574–581 (2006).
M. P. Malezhik, O. P. Malezhik, A. I. Zirka, and I. S. Chernyshenko, “Dynamic Photoelastic Study of Wave Fields in Elastic Plates with Stress Concentrators,” Int. Appl. Mech., 41, No. 12, 1399–1406 (2005).
M. P. Malezhik, O. P. Malezhik, A. I. Zirka, and I. S. Chernyshenko, “Stress wave fields in plates weakened by curvilinear holes with edge cracks,” Int. Appl. Mech., 42, No. 2, 192–195 (2006).
A. I. Zirka, M. P. Malezhik, and I. S. Chernyshenko, “Stress concentration in an orthotropic plate with a circular hole under dynamic loading,” Int. Appl. Mech., 40, No. 2, 226–230 (2004).
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 7, pp. 73–78, July 2007.
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Malezhik, M.P., Chernyshenko, I.S. & Sheremet, G.P. Diffraction of stress waves by a free or reinforced hole in an orthotropic plate. Int Appl Mech 43, 767–771 (2007). https://doi.org/10.1007/s10778-007-0076-9
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DOI: https://doi.org/10.1007/s10778-007-0076-9