Abstract :
Thiswork dealswith the fracture of rubbers
under a mixed mode loading (I+II) and it is an extension
of our previous papers on that subject [Aït Hocine
N, Naït AbdelazizM, Imad A (2002) Int J Fract 117:1-
23; AïtHocine N, Naït AbdelazizM(2004) In: Sih GC,
KermanidisB, PantelakisG(eds) 6th international conference
for mesomechanics. Patras (Greece), May 31-
June 4, pp 381-385]. An experimental and a numerical
analysis were carried out using a Styrene Butadiene
Rubber (SBR) filled with 20 and 30% of carbon black.
Sheets with an initial central crack (CCT specimens)
inclined with a given angle compared to the loading
direction were used. The J -integral and its critical values
Jc (fracture surface energy) were determined by
combining experimental data and finite element results.
These critical values, determined at the onset of crack
growth, were found to be quite constant for each elastomer
tested, which suggests that Jc represents a reasonable
fracture criterion of such materials. Then, the
strain-stress field and the strain-energy-density factor
S, earlier introduced by Sih [Sih GC (1974) Int
J Fract 10(3):305-321; Sih GC (1991) Mechanics of
fracture initiation and propagation. Kluwer Academic Publishers, Dordrecht, 428 pp] were numerically calculated
around the crack tip. According to the experimental
observations, the plan of crack propagation is
perpendicular to the direction of the maximum principal
stretch. Moreover, as suggested by Sih in the framework
of linear elastic fracture mechanics (LEFM), the
minimum values Smin of the factor S are reached at the
points corresponding to the crack propagation direction.
These results suggest that the concept of the
maximum principal stretch and the one of the strainenergy-
density factor can be used as indicators of the
crack propagation direction.