On the stress intensity near the tips of interfacial boundary shear cracks at a corner point of the interface

Authors

  • V. M. Nazarenko
  • A. L. Kipnis

DOI:

https://doi.org/10.15407/dopovidi2015.08.058

Keywords:

composites fracture mechanics, interface crack, non-smooth interface, Wiener–Hopf method

Abstract

The symmetric problem of the theory of elasticity for interfacial shear cracks at a corner point of the media-separating boundary is considered. To solve the problem, the Wiener–Hopf method is used. The formula for the stress intensity factor is obtained.

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References

Savruk M.P. Stress intensity factors in the bodies with cracks, Kyiv: Nauk. Dumka, 1988 (in Russian).

Guz A.N., Guz I.A., Men'shikov A.V., Men'shikov V.A. Int. Appl. Mech., 2013, 49, No 1: 1–61. https://doi.org/10.1007/s10778-013-0551-4

Panasyuk V.V., Andrejkiv A.E., Parton V. Z. Fracture mechanics basis, Kyiv, 1988 (in Russian).

Guz A.N. Int. Appl. Mech, 2014, 50, No 1: 1–57. https://doi.org/10.1007/s10778-014-0609-y

Kaminsky A.A., Selivanov M.F., Chernoivan Yu.A. Int. Appl. Mech, 2014, 50, No 3: 310–320. https://doi.org/10.1007/s10778-014-0634-x

Bogdanov V. L., Guz A.N., Nazarenko V.M., Appl. Mech, 2009, 45, No 2: 3–18 (in Russian).

Nobl B. Using of the Wiener–Hopf method for solving the partial derivative equation, Moscow: Izdatelstvo Inostr. lit., 1962 (in Russian).

Uflyand Ya. S. Integral transformations in the theory of elasticity problems, Leningrad: Nauka, 1967 (in Russian).

Gahov F.D. Boundary-value problems, Moscow: Nauka, 1977 (in Russian).

Lavrent'ev M.A., Shabat B.V. Complex variable functions theory methods, Moscow: Nauka, 1973 (in Russian).

Parton V. Z., Perlin P. I. Mathematical theory of elasticity methods, Moscow, 1981 (in Russian).

Published

05.02.2025

How to Cite

Nazarenko, V. M., & Kipnis, A. L. (2025). On the stress intensity near the tips of interfacial boundary shear cracks at a corner point of the interface . Reports of the National Academy of Sciences of Ukraine, (8), 58–63. https://doi.org/10.15407/dopovidi2015.08.058