On the fracture process zone near the front of an arbitrary crack in a solid

Authors

  • O.S. Bogdanova S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • A.A. Kaminsky S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • E.E. Kurchakov S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2017.05.025

Keywords:

arbitrary crack, constitutive equations, fracture process zone, local fracture criterion

Abstract

The model of the fracture process zone near the front of an arbitrary crack in a solid is proposed. Within the framework of this model, the constitutive equations relating the contravariant components of a stress vector with the covariant components of a displacement vector are derived. The local fracture criterion is formulated.

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References

Kaminsky, A. A. (2014). Mechanics of the Delayed Fracture of Viscoelastic Bodies with Cracks: Theory and Experiment (Review). Int. Appl. Mech., 50, Iss. 5, pp. 485-548. https://doi.org/10.1007/s10778-014-0652-8

Park, K. & Paulino, G. H. (2011). Cohesive Zone Models: A Critical Review of Traction-Separation Re la tionships Across Fracture Surfaces. Appl. Mech. Reviews, 64, No. 11, pp. 1-20.

Kaminsky, A. A. & Kurchakov, E. E. (2015). Influence of Tension Along a Mode I Crack in an Elastic Body on the Formation of a Nonlinear Zone. Int. Appl. Mech., 51, Iss. 2, pp. 130-148. https://doi.org/10.1007/s10778-015-0679-5

Tvergaard, V. & Hutchinson, J.W. (1993). The Influence of Plasticity on Mixed Mode Interface Toughness. J. Mech. Phys. Solids, 41, No. 6, pp. 1119-1135. https://doi.org/10.1016/0022-5096(93)90057-M

Needleman, A. (1987). A continuum Model for Void Nucleation by Inclusion Debonding. J. Appl. Mech., 54, No. 3, pp. 525-531. https://doi.org/10.1115/1.3173064

Banks-Sills, L., Travitzky, N., Ashkenazi, D. & Eliasi R. (1999). A Methodology for Measuring Interface Fracture Properties of Composite Materials. Int. J. Fract., 99, No. 3, pp. 143-160. https://doi.org/10.1023/A:1018642200610

Wittmann, F. H., Rokugo, K., Bruehwiler, E., Mihashi, H. & Simonin, P. (1988). Fracture Energy and Strain Softening of Concrete as Determined by Means of Compact Tension Specimens. Mater. Struct., 21, No. 1, pp. 21-32. https://doi.org/10.1007/BF02472525

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Published

08.09.2024

How to Cite

Bogdanova, O., Kaminsky, A., & Kurchakov, E. (2024). On the fracture process zone near the front of an arbitrary crack in a solid . Reports of the National Academy of Sciences of Ukraine, (5), 25–33. https://doi.org/10.15407/dopovidi2017.05.025

Issue

No. 5 (2017): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

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