Abstract
The stress-strain state of an infinite plate with curvilinear cracks reinforced by a system of parallel stringers is investigated. The stringers are attached to the plate by riveting. It is assumed that the cracked plate with the system of stringers is in a generalized plane stress state. The boundary-value problem is reduced to a system of singular integral equations, which is solved by the method of mechanical quadratures. Numerical results are presented for a reinforced plate with a rectilinear or curvilinear crack (along a parabolic arc).
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References
A. Sorensen,Some Design Considerations for Tear Resistant Airplane Structures Preprint No. 618, Institute of the Aeronautical Sciences, New York (1956).
H. A. Leybold,A Method for Predicting the Static Strength of a Stiffened Sheet Containing a Sharp Central Notch, NASA Technical Note D-1943 (1963).
E. M. Wu and R. C. Reuter, “Crack extension in fiber-glass reinforced plastics,”Univ. of Illinois TAM Report, No. 275 (1965).
T. P. Rich, M. M. Ghassem, and D. J. Cartwright, “Fracture diagrams for cracked stiffened panels,”Eng. Fract. Mech., 21, No. 5 (1985).
J. P. Romauldi, J. T. Frasier, and G. R. Irwin, “Crack-extension-force near a riveted stiffener,”RNL, Memorandum Report, No. 4956 (1957).
J. P. Romauldi and P. N. Sanders, “Fracture arrest by riveted stiffeners,” in:Proceedings of the 4th Midwest. Conf. on Sol. Mech., Texas University Press (1959–1960), pp. 74–90.
J. M. Bloom and J. L. Sanders, “The effect of a riveted stringer on the stress in a cracked sheet,”Trans. ASME: J. Appl. Mech. 33, No. 3, 561–570 (1966).
C. C. Poe,Stress Intensity Factors for a Cracked Sheet with Riveted and Uniformly Spaced Stringers, NASA TR R-358 (1971).
E. G. Pereslavtsev,Calculation of the SIF at Crack Tips for a Reinforced Sheet with a Set of Cracks Situated along a Line [in Russian], Trudy TsAGI, Issue 1988 (1979).
V. N. Maksimenko, L. I. Prikazchik, and Yu. N. Khan, “The influence of riveted stringers on the stressed state of an anisotropic plate with an elliptic hole or a crack,” in:Strength and Vibrations of Aircraft Structures [in Russian], Kazan Aviation Institute, Kazan (1984), pp. 10–15.
S. V. Shkaraev, “Stresses near an edge crack in a reinforced plate,”Fiz.-Khim. Mekh. Mater. 21, No. 6, 93–94 (1985).
R. Greif and J. L. Sanders, “The effect of a stringer on the stress in a cracked sheet,”J. Appl. Mech. 32, No. 1, P. 59–66 (1965).
G. T. Zhorzholiani, “On a problem of a stringer and a crack,”Trudy Tbilis. Mat. Inst. 61, 55–59 (1979).
R. Chandra, M. V. Murthy, T. S. Ramamurthy, and A. K. Rao, “Analytical estimation of stress intensity factors in patched cracked plates,”Eng. Fract. Mech. 21, No. 3, 479–494 (1985).
C. C. Chu, “Arbitrarily oriented cracks in a reinforced sheet,”Trans. ASME: J. Appl. Mech. 52, No. 1, 13–18 (1985).
P. S. Theocaris and D. Bardzokas, “Reinforcement of a cracked plate by a loaded strip-inclusion,”Ingenieur Archiv. 55, No. 1, 45–56 (1985).
V. N. Maksimenko and V. N. Pavshok, “The influence of glued patches on the intensity of stresses at crack tips in an anisotropic plate,”Prikl. Mekh. 25, No. 5, 69–75 (1989).
H. Vlieger, “The residual strength characteristics of stiffened panels containing fatigue cracks,”Eng. Fract. Mech., 5, No. 2 (1973).
G. P. Cherepanov and V. N. Mirsalimov, “The effect of strengthening ribs on the propagation of cracks,”Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn. Mat. Nauk, No. 1, 7–11 (1969).
B. Budiansky and Tai Tl. Wu, “Transfer of load to a sheet from a rivet-attached stiffener,”J. Math. Phys. 40, No. 2, 142–162 (1961).
G. Dowrick, D. J. Cartwright, and D. P. Rooke, “The effects of repair patches on the stress distribution in a cracked sheet,” in:Numerical Methods in Fracture Mechanics: Proceedings of the 2nd Internat. Conf., Swansea (1980), pp. 763–775.
G. Dowrick and D. J. Cartwright, “Biaxial stress effects in a reinforced cracked sheet,”J. Strain Anal. Eng. Des. 19, No. 1, 61–69 (1984).
V. Z. Parton and E. M. Morozov,Mechanics of Elastoplastic Failure [in Russian], Nauka, Moscow (1974).
É. I. Grigolyuk and V. M. Tolkachev,Contact Problems in the Theory of Plates and Shells [in Russian], Mashinostroenie, Moscow (1980).
R. Chandra and K. Guruprasad, “Numerical estimation of stress intensity factors in patched cracked plates,”Eng. Fract. Mech. 27, No. 5, 559–569 (1987).
A. I. Kalandiya,Mathematical Methods of Two-Dimensional Elasticity [in Russian], Nauka, Moscow (1973).
V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshyn,Distribution of Stresses near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).
M. P. Savruk,Two-Dimensional Problems of Elasticity for Cracked Bodies [in Russian], Naukova Dumka, Kiev (1981).
N. I. Muskhelishvili,Some Fundamental Problems of the Mathematical Theory of Elasticity [in Russian] Nauka, Moscow (1966).
V. V. Panasyuk (editor),Fracture Mechanics and Strength of Materials. A Handbook, Vol. 2, M. P. Savruk,Stress Intensity Factors in Cracked Bodies [in Russian], Naukova Dumka, Kiev (1988).
Additional information
Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 1, pp. 96–105, January–February, 1994.
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Savruk, M.P., Kravets', V.S. Reinforcement of a thin cracked plate by a system of parallel stringers. Mater Sci 30, 95–104 (1995). https://doi.org/10.1007/BF00559023
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DOI: https://doi.org/10.1007/BF00559023