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Analysis based on the energy release rate criterion of a dynamically growing crack approaching an interface

Authorized Users Only
2016
Authors
Đoković, Jelena M.
Nikolić, Ruzica R.
Šumarac, Dragoslav
Bujnak, Jan
Article (Published version)
Metadata
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Abstract
A problem of a dynamically growing crack, which is approaching an interface between the two elastic isotropic materials at an arbitrary angle, is considered in this paper. That crack could behave in three ways: (i) it can arrest at contact with the interface, (ii) it can deflect into the interface and continue to propagate along it or (iii) the crack can penetrate the interface and continue to propagate in the material across it. The competition between the latter two cases can be estimated by considering the ratio of the energy release rates necessary for the crack penetrating the interface and for the crack deflecting into the interface. A concept that the criterion for the dynamic crack growth in homogeneous solids could be based on the static stress field, with addition of the stress intensity factor dependent on time, is used here to explain the behavior of the crack approaching the interface in dynamic loading conditions. Obtained results enable comparison of the interface dynami...c fracture toughness to the fracture toughness of the base material (without the interface), to determine whether the incoming crack would deflect into or would penetrate the interface. If the ratio between the dynamic fracture toughness of the interface and the dynamic fracture toughness of the material into which the crack continues to propagate was less than the ratio of the dynamic release rates for the deflecting and penetrating crack, the incoming crack would deflect into the interface. If the case was reversed, the crack would cross the interface and continue to propagate in the material across it. Comparison of results for the load phase angle dependence on the crack tip propagation speed and on the approaching angle, obtained by this criterion and by the maximum stress direction criterion, proves the validity of the energy release rate concept adopted in this analysis.

Keywords:
Interface / approaching crack / dynamic conditions / energy release rate / fracture toughness / crack deflection / crack penetration / mixed mode crack propagation / load phase angle / crack arrest
Source:
International Journal of Damage Mechanics, 2016, 25, 8, 1170-1183
Publisher:
  • SAGE Publications Ltd
Funding / projects:
  • Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-174001)
  • Micromechanical criteria of damage and fracture (RS-174004)
  • Software development for coupled multiphysics problems (RS-32036)
  • European regional development fund
  • Slovak state budget by the project Research Center of the University of Zilina ITMS 26220220183

DOI: 10.1177/1056789516650246

ISSN: 1056-7895

WoS: 000386999800006

Scopus: 2-s2.0-84994177842
[ Google Scholar ]
7
4
URI
https://grafar.grf.bg.ac.rs/handle/123456789/802
Collections
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - JOUR
AU  - Đoković, Jelena M.
AU  - Nikolić, Ruzica R.
AU  - Šumarac, Dragoslav
AU  - Bujnak, Jan
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/802
AB  - A problem of a dynamically growing crack, which is approaching an interface between the two elastic isotropic materials at an arbitrary angle, is considered in this paper. That crack could behave in three ways: (i) it can arrest at contact with the interface, (ii) it can deflect into the interface and continue to propagate along it or (iii) the crack can penetrate the interface and continue to propagate in the material across it. The competition between the latter two cases can be estimated by considering the ratio of the energy release rates necessary for the crack penetrating the interface and for the crack deflecting into the interface. A concept that the criterion for the dynamic crack growth in homogeneous solids could be based on the static stress field, with addition of the stress intensity factor dependent on time, is used here to explain the behavior of the crack approaching the interface in dynamic loading conditions. Obtained results enable comparison of the interface dynamic fracture toughness to the fracture toughness of the base material (without the interface), to determine whether the incoming crack would deflect into or would penetrate the interface. If the ratio between the dynamic fracture toughness of the interface and the dynamic fracture toughness of the material into which the crack continues to propagate was less than the ratio of the dynamic release rates for the deflecting and penetrating crack, the incoming crack would deflect into the interface. If the case was reversed, the crack would cross the interface and continue to propagate in the material across it. Comparison of results for the load phase angle dependence on the crack tip propagation speed and on the approaching angle, obtained by this criterion and by the maximum stress direction criterion, proves the validity of the energy release rate concept adopted in this analysis.
PB  - SAGE Publications Ltd
T2  - International Journal of Damage Mechanics
T1  - Analysis based on the energy release rate criterion of a dynamically growing crack approaching an interface
EP  - 1183
IS  - 8
SP  - 1170
VL  - 25
DO  - 10.1177/1056789516650246
ER  - 
@article{
author = "Đoković, Jelena M. and Nikolić, Ruzica R. and Šumarac, Dragoslav and Bujnak, Jan",
year = "2016",
abstract = "A problem of a dynamically growing crack, which is approaching an interface between the two elastic isotropic materials at an arbitrary angle, is considered in this paper. That crack could behave in three ways: (i) it can arrest at contact with the interface, (ii) it can deflect into the interface and continue to propagate along it or (iii) the crack can penetrate the interface and continue to propagate in the material across it. The competition between the latter two cases can be estimated by considering the ratio of the energy release rates necessary for the crack penetrating the interface and for the crack deflecting into the interface. A concept that the criterion for the dynamic crack growth in homogeneous solids could be based on the static stress field, with addition of the stress intensity factor dependent on time, is used here to explain the behavior of the crack approaching the interface in dynamic loading conditions. Obtained results enable comparison of the interface dynamic fracture toughness to the fracture toughness of the base material (without the interface), to determine whether the incoming crack would deflect into or would penetrate the interface. If the ratio between the dynamic fracture toughness of the interface and the dynamic fracture toughness of the material into which the crack continues to propagate was less than the ratio of the dynamic release rates for the deflecting and penetrating crack, the incoming crack would deflect into the interface. If the case was reversed, the crack would cross the interface and continue to propagate in the material across it. Comparison of results for the load phase angle dependence on the crack tip propagation speed and on the approaching angle, obtained by this criterion and by the maximum stress direction criterion, proves the validity of the energy release rate concept adopted in this analysis.",
publisher = "SAGE Publications Ltd",
journal = "International Journal of Damage Mechanics",
title = "Analysis based on the energy release rate criterion of a dynamically growing crack approaching an interface",
pages = "1183-1170",
number = "8",
volume = "25",
doi = "10.1177/1056789516650246"
}
Đoković, J. M., Nikolić, R. R., Šumarac, D.,& Bujnak, J.. (2016). Analysis based on the energy release rate criterion of a dynamically growing crack approaching an interface. in International Journal of Damage Mechanics
SAGE Publications Ltd., 25(8), 1170-1183.
https://doi.org/10.1177/1056789516650246
Đoković JM, Nikolić RR, Šumarac D, Bujnak J. Analysis based on the energy release rate criterion of a dynamically growing crack approaching an interface. in International Journal of Damage Mechanics. 2016;25(8):1170-1183.
doi:10.1177/1056789516650246 .
Đoković, Jelena M., Nikolić, Ruzica R., Šumarac, Dragoslav, Bujnak, Jan, "Analysis based on the energy release rate criterion of a dynamically growing crack approaching an interface" in International Journal of Damage Mechanics, 25, no. 8 (2016):1170-1183,
https://doi.org/10.1177/1056789516650246 . .

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