Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15722
Title: Condition for the onset of bifurcation in en echelon crack arrays
Authors: Chau, KT 
Wang, GS
Keywords: Bifurcation
Crack interactions
En echelon crack array
Surface ruptures
Issue Date: 2001
Publisher: John Wiley & Sons
Source: International journal for numerical and analytical methods in geomechanics, 2001, v. 25, no. 3, p. 289-306 How to cite?
Journal: International journal for numerical and analytical methods in geomechanics 
Abstract: Emergence and evolution of en echelon crack arrays play an essential role in the failure of geomaterials, regardless of the scale of deformation. This paper derives analytically an approximation for the critical crack size/spacing ratio at which a uniformly growing en echelon crack array yields to a non-uniform growing pattern of crack growth. Numerical results show that the critical crack size/spacing ratio cr (= a/d where a is the half crack length and d is the distance between the centres of two adjacent cracks) depends on the orientation of the crack array ø, the number of cracks N in the array, as well as the loading conditions. In general, cr decreases with N, but depends non-linearly on ø. When en echelon crack arrays are under far-field shearing along the direction of the crack array, our prediction for cr is about 0.5715, comparing to the experimental observation of about 0.5. For rock joints containing en echelon cracks, the interpreted critical crack size at the onset of the alternating evolution of crack growth are 0.66 and 0.89 for ø = 26 and 6°, comparing to our predictions of 0.5695 and 0.6112, respectively.
URI: http://hdl.handle.net/10397/15722
ISSN: 0363-9061
EISSN: 1096-9853
DOI: 10.1002/nag.130
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

6
Last Week
0
Last month
0
Citations as of Aug 7, 2017

WEB OF SCIENCETM
Citations

5
Last Week
0
Last month
0
Citations as of Aug 12, 2017

Page view(s)

31
Last Week
1
Last month
Checked on Aug 13, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.