Abstract
The problem of determining a stress-strain state described by singular and regular terms and a stress intensity factor in the vicinity of the tip of a crack-like defect in a plate under biaxial loading is considered. The Kolosov-Muskhelishvili method is used to obtain expressions for the stress tensor near the vertex of an ellipse, which yield formulas for stresses in the case of blunt cracks. The maximum shear stress, principal stresses, and stress intensity are determined. Formulas for the stress intensity factor under biaxial loading of a plate with a crack-like defect are obtained and can be used in the holographic interferometry method.
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References
M. Creager and P. Paris, “Elastic Field Equations for Blunt Cracks with Reference to Stress Corrosion Cracking,” Int. J. Fracture Mech. 4(3), 247–252 (1967).
V. B. Panasyuk, Quasibrittle Fracture Mechanics (Naukova Dumka, Kiev, 1991) [in Russian].
M. L. Williams, “On the Stress Distribution at the Base of a Stationary Crack,” J. Appl. Mech. 24(1), 109–114 (1957).
J. Eftis, N. Subramonian, and H. Liebowitz, “Crack Border Stress and Displacement Equations Revisited,” Eng. Fracture Mech. 9(1), 189–210 (1977).
A. Ya. Krasovskii, Brittleness of Metals at Low Temperatures (Naukova Dumka, Kiev, 1980).
N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity (Nauka, Moscow, 1966).
A. A. Ostsemin and P. B. Utkin, “Theoretical and Experimental Research on the Fracture Mechanics of Crack-Like Defects under Biaxial Loading,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 2, 130–142 (2009).
A. A. Ostsemin and P. B. Utkin, “Application of the Criteria of Elastoplastic Fracture Mechanics for Estimating the Properties of Welded Joints,” Vopr. Materialoved., No. 3, 151–160 (2007).
J. M. Etheridge and J. W. Dalley, “A Critical Review of Methods for Determining Stress-Intensity Factors from Isochromatic Fringes,” Exp. Mech. 17(7), 248–254 (1977).
J. F. Doyle, S. Kamle, and J. Takezaku, “Error Analysis of Photoelasticity in Fracture Mechanics,” Exp. Mech. 21(11), 429–435 (1981).
A. A. Ostsemin, “Determination of the Stress State and the Stress Intensity Factors of Crack-Like Defects by Holographic Interferometry,” Vest. Mashinostr., No. 8, 13–19 (2009).
A. Ya. Aleksandrov and M. Kh. Akhmetzyanov, Polarization-Optical Methods of Deformable Solid Mechanics (Nauka, Moscow, 1973) [in Russian].
A. A. Ostsemin, S. A. Deniskin, L. L. Sitnikov, et al., “Determining the Stress State of Bodies with Defects by Using Holographic Photoelasticity,” Probl. Prochn., No. 10, 77–81 (1982).
J. Malkin and A. S. Tetelman, “Relation between K Ic and Microscopic Strength for Low Alloy Steels,” Eng. Fracture Mech. 3(2), 151–167 (1971).
R. O. Ritche, G. F. Knott, and J. R. Rice, “On the Relation Between Critical Tensile Stress and Fracture Toughness in Mild Steel,” J. Mech. Phys. Solids 21(6), 395–410 (1973).
A. A. Ostsemin and P. B. Utkin, “Stress-Strain State of an Inclined Elliptical Defect in a Plate Under Biaxial Loading,” Prikl. Mekh. Tekh. Fiz. 53(2), 115–127 (2012) [J. Appl. Mech. Tech. Phys. 53 (2), 246–257 (2012)].
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Original Russian Text © A.A. Ostsemin, P.B. Utkin.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 6, pp. 162–172, November–December, 2014.
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Ostsemin, A.A., Utkin, P.B. Stress-strain state and stress intensity factor in the vicinity of crack-like defects under biaxial tension of a plate. J Appl Mech Tech Phy 55, 1045–1054 (2014). https://doi.org/10.1134/S0021894414060170
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DOI: https://doi.org/10.1134/S0021894414060170