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Weight function for an internal plane elliptic crack

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Abstract

On the basis of the variational formula for an elastic body with a crack (cut), we suggest a method for the construction of weight functions for internal plane elliptic cuts. For an unbounded elastic body, the weight function is constructed in the explicit form. A special case of concentrated forces applied to the center of the elliptic cut is studied in detail.

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References

  1. J. R. Rice, “Weight function theory for three-dimensional elastic crack analysis,”Fract. Mech., ASTM STP 1020, 29–57 (1989).

    Google Scholar 

  2. N. M. Borodachev, “On a variational method for the solution of the three-dimensional problem of the theory of elasticity for a body with plane crack,”Prikl. Mekh.,22, No. 4, 71–76 (1986).

    Google Scholar 

  3. J. R. Rice, “First-order variation in elastic fields due to variation in location of a plane crack front,”Trans. ASME: J. Appl. Mech.,52, No. 3, 571–579 (1985).

    Article  Google Scholar 

  4. A. N. Borodachev, “A method for the construction of weight functions for circular cracks,”Prikl. Mat. Mekh.,54, 1022–1030 (1990).

    Google Scholar 

  5. A. N. Borodachev, “General method for the construction of three-dimensional weight functions for elastic cracked bodies,”Prikl. Mat. Mekh.,57, 120–127 (1993).

    Google Scholar 

  6. V. A. Antonov, E. I. Timoshkova, and K. V. Kholshevnikov,Introduction to the Theory of Newton Potentials [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  7. N. M. Borodachev, “Perturbation method for mixed three-dimensional problems of the theory of elasticity with boundary conditions given on complicated separation lines,”Prikl. Mat. Mekh.,52, 628–634 (1988).

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Additional information

Kiev International University of Civil Aviation, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 4, pp. 59–66, July–August, 1997.

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Borodachev, N.M. Weight function for an internal plane elliptic crack. Strength Mater 29, 362–368 (1997). https://doi.org/10.1007/BF02767821

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  • DOI: https://doi.org/10.1007/BF02767821

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