TY - JOUR
T1 - Fracture criterion of a mixed-mode crack based on CED (Crack Energy Density)
AU - Utsunomiya, Takao
AU - Watanabe, Katsuhiko
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1993/7/2
Y1 - 1993/7/2
N2 - The CED (Crack Energy Density) in an arbitrary direction, Eφ{symbol}, is defined as the quantity which has the meaning of strain energy area density in the plane containing a crack front line without any restriction on constitutive equation. We may expect that, as far as the opening type fracture occurs, a mixed mode crack begins to grow in the direction φ{symbol} where Eφ{symbol}I (mode I contribution of Eφ{symbol}) takes the maximum value, Eφ{symbol}maxI, when Eφ{symbol}maxI reaches a critical value peculiar to a material (we call this criterion Eφ{symbol}maxI criterion). In this paper, the applicability of this Eφ{symbol}maxI criterion to elastic-plastic fractures is studied based on the fracture experiments on specimens of Aluminum alloy with a crack inclined to the loading axis and it is demonstrated that the onset and the direction of crack growth can be estimated by Eφ{symbol}maxI criterion in either case of fractures with relatively small yielding region and those with large yielding region. The applicability of Eφ{symbol}maxI criterion to elastic (quasi-elastic) fractures is also shown through the comparison of the result by Eφ{symbol}maxI criterion with the results by other criteria and experimental results.
AB - The CED (Crack Energy Density) in an arbitrary direction, Eφ{symbol}, is defined as the quantity which has the meaning of strain energy area density in the plane containing a crack front line without any restriction on constitutive equation. We may expect that, as far as the opening type fracture occurs, a mixed mode crack begins to grow in the direction φ{symbol} where Eφ{symbol}I (mode I contribution of Eφ{symbol}) takes the maximum value, Eφ{symbol}maxI, when Eφ{symbol}maxI reaches a critical value peculiar to a material (we call this criterion Eφ{symbol}maxI criterion). In this paper, the applicability of this Eφ{symbol}maxI criterion to elastic-plastic fractures is studied based on the fracture experiments on specimens of Aluminum alloy with a crack inclined to the loading axis and it is demonstrated that the onset and the direction of crack growth can be estimated by Eφ{symbol}maxI criterion in either case of fractures with relatively small yielding region and those with large yielding region. The applicability of Eφ{symbol}maxI criterion to elastic (quasi-elastic) fractures is also shown through the comparison of the result by Eφ{symbol}maxI criterion with the results by other criteria and experimental results.
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U2 - 10.1016/0029-5493(93)90033-6
DO - 10.1016/0029-5493(93)90033-6
M3 - Article
AN - SCOPUS:38248998845
VL - 142
SP - 101
EP - 111
JO - Nuclear Engineering and Design
JF - Nuclear Engineering and Design
SN - 0029-5493
IS - 1
ER -