The well-known equations of photoelasticity of linear viscoelastic bodies are used to describe the photoelastic behavior of a viscoelastic orthotropic plate with a crack. Expressions for the stress intensity factors (SIFs) at the crack tip are obtained using photoelastic measurements. The time dependence of the SIFs is analyzed and shown to be determined by the angles between directions of the crack and tension
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
O. E. Andreikiv, V. R. Skal’skii, and O. M. Sergienko, “Acoustic emission criteria for the express-evaluation of internal damage of composite materials,” Fiz.-Khim. Mekh. Mater., No. 2, 84–92 (2003).
A. A. Kaminsky, “Rheological structural model of a crack in a viscoelastic composite material,” Int. Appl. Mech., 28, No. 7, 415–420 (1992).
A. A. Kaminsky and D. A. Gavrilov, Long-Term Fracture of Polymeric and Composite Materials with Cracks [in Russian], Naukova Dumka, Kyiv (1992).
A. A. Kaminsky and M. F. Selivanov, “Long-term failure of a layered viscoelastic composite material with a crack under a time-dependent load,” Mech. Comp. Mater., 36, No. 4, 327–336 (2000).
E. I. Edel’shtein, M. V. Leikin, N. M. Drichko, et al., “Coordinate-synchronized polarimeter KSP-10,” in: Proc. 8th All-Union Conf. on the Photoelastic Method [in Russian], Vol. 2, Tallinn (1979), pp. 77–84.
H. T. Corten, “Fracture mechanics of composites,” in: H. Liebowitz (ed.), Fracture: An Advanced Treatise, Vol. 7, Acad. Press, New York (1972), pp. 695–703.
S. G. Lekhnitskii, Anisotropic Plates, Gordon and Breach, New York (1968).
I. I. Lyashko, V. L. Makarov, and A. K. Skorobagat’ko, Computing Techniques [in Russian], Vyshcha Shkola, Kyiv (1977).
M. P. Malezhik, Dynamic Photoelasticity of Anisotropic Bodies [in Ukrainian], IGF NAN Ukrainy im. Subbotina, Kyiv (2001).
M. P. Malezhik, “Modeling the stress–strain state near cracks in anisotropic linear viscoelastic plates,” Fiz.-Khim. Mekh. Mater., No. 2, 93–95 (2003).
M. P. Malezhik, “Optically sensitive materials for modeling stress wave fields in anisotropic bodies,” Fiz.-Khim. Mekh. Mater., No. 1, 99–103 (2004).
M. P. Malezhik and O. P. Malezhik, “Determining the stress intensity factors for viscoelastic anisotropic plates with a crack subject to long-term fracture,” Nauk. Visti NTTU “KPI,” No. 3, 70–74 (2005).
V. P. Netrebko and I. P. Vasil’chenko, Polarization Methods in the Mechanics of Composite Materials [in Russian], Izd. Mosk. Univ., Moscow (1990).
V. R. Skal’s’kyi, “Acoustic-emission analysis of accumulated bulk damage in solids,” Fiz.-Khim. Mekh. Mater., No. 1, 91–100 (2001).
A. M. Skudra, F. Ya. Bulavs, and K. A. Rotsens, Creep and Static Fatigue of Reinforced Plastics [in Russian], Zinatne, Riga (1971).
M. I. Shut and N. M. Zazimko, “Studying the initiation and growth of a main crack,” in: Trans. M. P. Dragomanov National Pedagogical University [in Ukrainian], issue 2, NPU, Kyiv (2001), pp. 3–8.
M. P. Malezhik and I. S. Chernyshenko, “Solution of nonstationary problems in the mechanics of anisotropic bodies by the method of dynamic photoelasticity,” Int. Appl. Mech., 45, No. 9, 954–980 (2009).
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, I. S. Chernyshenko, and G. P. Sheremet, “Diffraction of stress waves by a free or reinforced hole in an orthotropic plate,” Int. Appl. Mech., 43, No. 7, 767–772 (2007).
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).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 46, No. 6, pp. 76–82, June 2010.
Rights and permissions
About this article
Cite this article
Voitovich, L.V., Malezhik, M.P. & Chernyshenko, I.S. Photoelastic modeling of the fracture of viscoelastic orthotropic plates with a crack. Int Appl Mech 46, 677–682 (2010). https://doi.org/10.1007/s10778-010-0355-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-010-0355-8