Interaction of periodic arrays of wing cracks

Juha Kuutti; Kari Kolari

doi:10.1016/j.engfracmech.2018.03.030

Interaction of periodic arrays of wing cracks

Juha Kuutti (Corresponding Author), Kari Kolari

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

Abstract

A method for evaluating the interaction of wing cracks in 2-D and 3-D is presented. The method utilizes the assumption that the wing crack can be represented by its extensions and the interaction is solved using a superposition method presented by Kachanov. The method is applied to arrays of parallel initial cracks to determine the critical crack array orientations and assess whether the coalescence of closely-spaced small cracks causing a shear-like failure observed in 2-D is possible in 3-D. The results show that the shear failure can be achieved also in 3-D, but not with such an instability as in 2-D.

Original language	English
Pages (from-to)	17-30
Number of pages	14
Journal	Engineering Fracture Mechanics
Volume	200
DOIs	https://doi.org/10.1016/j.engfracmech.2018.03.030
Publication status	Published - Sept 2018
MoE publication type	A1 Journal article-refereed

Keywords

brittle fracture
shear fracture
crack interaction
wing crack

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10.1016/j.engfracmech.2018.03.030

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title = "Interaction of periodic arrays of wing cracks",

abstract = "A method for evaluating the interaction of wing cracks in 2-D and 3-D is presented. The method utilizes the assumption that the wing crack can be represented by its extensions and the interaction is solved using a superposition method presented by Kachanov. The method is applied to arrays of parallel initial cracks to determine the critical crack array orientations and assess whether the coalescence of closely-spaced small cracks causing a shear-like failure observed in 2-D is possible in 3-D. The results show that the shear failure can be achieved also in 3-D, but not with such an instability as in 2-D.",

keywords = "brittle fracture, shear fracture, crack interaction, wing crack",

author = "Juha Kuutti and Kari Kolari",

note = "Funding Information: The research and the preparation of the manuscript have been supported by the Academy of Finland [grant 268925 ] and VTT Technical Research Centre of Finland . The authors are grateful to the reviewers for their insightful comments and to Andrew Roiko for proofreading the text. Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

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T1 - Interaction of periodic arrays of wing cracks

AU - Kuutti, Juha

AU - Kolari, Kari

N1 - Funding Information: The research and the preparation of the manuscript have been supported by the Academy of Finland [grant 268925 ] and VTT Technical Research Centre of Finland . The authors are grateful to the reviewers for their insightful comments and to Andrew Roiko for proofreading the text. Publisher Copyright: © 2018 Elsevier Ltd Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2018/9

Y1 - 2018/9

N2 - A method for evaluating the interaction of wing cracks in 2-D and 3-D is presented. The method utilizes the assumption that the wing crack can be represented by its extensions and the interaction is solved using a superposition method presented by Kachanov. The method is applied to arrays of parallel initial cracks to determine the critical crack array orientations and assess whether the coalescence of closely-spaced small cracks causing a shear-like failure observed in 2-D is possible in 3-D. The results show that the shear failure can be achieved also in 3-D, but not with such an instability as in 2-D.

AB - A method for evaluating the interaction of wing cracks in 2-D and 3-D is presented. The method utilizes the assumption that the wing crack can be represented by its extensions and the interaction is solved using a superposition method presented by Kachanov. The method is applied to arrays of parallel initial cracks to determine the critical crack array orientations and assess whether the coalescence of closely-spaced small cracks causing a shear-like failure observed in 2-D is possible in 3-D. The results show that the shear failure can be achieved also in 3-D, but not with such an instability as in 2-D.

KW - brittle fracture

KW - shear fracture

KW - crack interaction

KW - wing crack

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U2 - 10.1016/j.engfracmech.2018.03.030

DO - 10.1016/j.engfracmech.2018.03.030

M3 - Article

SN - 0013-7944

VL - 200

SP - 17

EP - 30

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

ER -

Interaction of periodic arrays of wing cracks

Abstract

Keywords

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