On an approach to solving the problems of interface cracks originated at the corner points of a piecewise homogeneous body

Authors

  • A. L. Kipnis

DOI:

https://doi.org/10.15407/dopovidi2014.10.051

Keywords:

interface cracks, piecewise homogeneous body

Abstract

An approach to solving the problems of fracture mechanics of composite materials as for the interface cracks that originated at the corner points of a piecewise homogeneous body is proposed. This approach allows one to go from the original problem to a problem of elasticity theory for a wedge-shaped body with the interface crack at the vertex and the condition at infinity that takes the influence of an external field into account.

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References

Williams M. L. Bull. of the Seism. Soc. of America, 1959, 49: 199–204.

Rice J. R., Sih G. C. Trans. ASME. J. Appl. Mech., 1965, 32: 418–423. https://doi.org/10.1115/1.3625816

Nakhmein E. L., Nyller B. M., Ryvkin M. B. Prykl. matematika i mekhanika, 1981, 45, No 6: 1088–1094 (in Russian).

Fracture mechanics and strength of materials: A Reference Guide. Vols. 4. Vol. 2. The stress intensity factors in cracked bodies (Ed. Savruk M. P.), Kiev: Nauk. dumka, 1988 (in Russian).

Loboda V. V., Sheveleva A. E. Prikl. mekhanika, 2003, 39, No 5: 76–82 (in Russian).

Guz A. N., Guz I. A., Menshikov A. V., Menshikov V. A. Prikl. mekhanika, 2010, 46, No 10: 3–13 (in Russian).

Guz I. A., Menshykov O. V., Menshykov V. A. Int. J. of Fracture, 2006, 140: 277–284. https://doi.org/10.1007/s10704-006-0108-1

Comninou M. Trans. ASME. J. Appl. Mech., 1977, 44, No 4: 631–636. https://doi.org/10.1115/1.3424148

Dundurs J., Comninou M. Mekhanika kompozit. materialov, 1979, No 3: 387–396 (in Russian).

Simonov I. V. Mekhanika kompozit. materialov, 1985, No 6: 969–976 (in Russian).

Ostrik V. I. Fiz.-khim. mekhanika materialiv, 2003, 39, No 2: 58–65 (in Russian).

Parton V. Z., Perlin P. I. Methods of Mathematical Theory of Elasticity, Moscow: Nauka, 1981 (in Russian).

Cherepanov G. P. Prikl. matematika i mekhanika, 1976, 40, No 4: 720–728 (in Russian).

Published

06.03.2025

How to Cite

Kipnis, A. L. (2025). On an approach to solving the problems of interface cracks originated at the corner points of a piecewise homogeneous body . Reports of the National Academy of Sciences of Ukraine, (10), 51–55. https://doi.org/10.15407/dopovidi2014.10.051