Open AccessUnilateral extension of a two‐dimensional shear crack under the influence of cohesive forces
Author(s) -
Knopoff L.,
Chatterjee A. K.
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb06959.x
Subject(s) - cohesion (chemistry) , shear (geology) , enhanced data rates for gsm evolution , fracture mechanics , mechanics , crack tip opening displacement , fissure , crack closure , materials science , mathematical analysis , mathematics , geometry , physics , computer science , composite material , telecommunications , quantum mechanics
Summary. We consider the problem of the unilateral extension of a two‐dimensional anti‐plane crack that initiates spontaneously at a point. The crack extends under the influence of cohesive resistance at the edge and dynamical friction along the crack walls. The stresses in the region beyond the edge of the crack are approximated so that they are exactly equal to the cohesive stresses near the edge of the crack, and are zero on the wavefront. An exact method of solving such problems is also given and can be used to determine the validity of the approximation. We find that the crack will not grow if the cohesion exceeds some critical value; this is consistent with an earlier result obtained by Knopoff, Mouton & Burridge for a similar one‐dimensional model of crack propagation.