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A hybrid method of studying the stress intensity factors at the tips of cracks in anisotropic plates

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Abstract

We propose an efficient new method of numerical analysis of the residual strength of finite plates weakened by cracks. The basis of the method is an alternating Schwartz procedure that makes it possible to achieve a successful combination of the algorithmicity and indifference to boundary conditions of the finite-element method and the application of the method of integral equations for studying singular stress fields. The numerical implementation of the scheme and the algorithm for determining the stress intensity factors at the tips of cracks is given as a software package written in FORTRAN. The efficiency of application of the computational methodology is illustrated by examples.

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Literature Cited

  1. L. V. Kantorovich and V. I. Krylov,Approximate Methods of Higher Analysis, Interscience, New York (1964).

    Google Scholar 

  2. L. A. Fil'shtinskii, “Elastic equilibrium of a plane anisotropic medium weakened by arbitrary curvilinear cracks,”Izv. Akad. Nauk SSSR, MTT, No. 5, 91–97 (1976).

    MathSciNet  Google Scholar 

  3. V. N. Maksimenko and A. V. Tsendrovskii, “Determination of the stress intensity factors for cracks of complicated shape in anisotropic plates,”Zh. Prikl. Mekh. i Tekhn. Fiz., No. 6, 124–128 (1986).

    Google Scholar 

  4. V. N. Maksimenko, “Limit equilibrium of an anisotropic plate weakened by an elliptic hole and a system of cracks of complicated shape,”Uchen. Zap. TsAGI,18, No. 3, 105–113 (1987).

    Google Scholar 

  5. L. Segerlind,Applied Finite-Element Analysis, Wiley, New York (1976).

    Google Scholar 

  6. A. C. Kaya and F. Endoran, “Stress intensity factors and COD in an orthotropic strip,”Int. J. Fract.,16, No. 2, 171–190 (1980).

    Google Scholar 

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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 23, 1992, pp. 34–40.

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Maksimenko, V.N., Yungerman, N.M. A hybrid method of studying the stress intensity factors at the tips of cracks in anisotropic plates. J Math Sci 76, 2364–2369 (1995). https://doi.org/10.1007/BF02362899

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  • DOI: https://doi.org/10.1007/BF02362899

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