Coalescence of two unequal collinear cracks in a viscoelastic composite plate

Authors

  • A.A. Kaminsky
  • M. F. Selivanov

DOI:

https://doi.org/10.15407/dopovidi2014.06.058

Keywords:

oalescence, collinear cracks, viscoelastic composite plate

Abstract

Using the theory of linear viscoelasticity, the constitutive relations for the time-dependent tips of the mode I nonequal collinear cracks in orthotropic composite materials under conditions of a in-plane stress state are obtained. The constitutive relations are a system of integral equations and inequalities. The numerical examples of kinetic curves are presented for two initial distances between cracks. The propagation rates of crack tips are different for the problem under study.

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References

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Kaminsky A. A., Selivanov M. F., Chornoivan Yu. O. J. of Math. Sciences. 2013, 190, No. 5: 697–709. https://doi.org/10.1007/s10958-013-1281-1

Cherepanov G. P. Mechanics of brittle fracture. Moscow: Nauka, 1974 (in Russian).

Selivanov M. F. Int. Appl. Mech., 2009, 45, No. 10: 62–70. https://doi.org/10.1007/s10778-010-0249-9

Van Fo Fy. Composite materials of fibrous structure. Kyiv: Nauk. dumka, 1970 (in Russian).

Kaminsky A. A., Selivanov M. F., Chornoivan Yu. O. J. of Math. Sci., 2011, 176, No. 5: 616–630. https://doi.org/10.1007/s10958-011-0426-3

Published

26.02.2025

How to Cite

Kaminsky, A., & Selivanov, M. F. (2025). Coalescence of two unequal collinear cracks in a viscoelastic composite plate . Reports of the National Academy of Sciences of Ukraine, (6), 58–64. https://doi.org/10.15407/dopovidi2014.06.058

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