P. Fraisse et F. Schmit, USE OF J-INTEGRAL AS FRACTURE PARAMETER IN SIMPLIFIED ANALYSIS OF BONDED JOINTS, International journal of fracture, 63(1), 1993, pp. 59-73
The simplified analytical approaches based on beam or plates theories
are commonly used to solve the stress field in bonded laminates. Howev
er, to be correctly applied, these methods require an appropriate frac
ture criterion. In this paper, the use of J-integral as a Fracture par
ameter in these simplified analytical approaches is discussed. After e
xamining its path independence, the J-integral is calculated along two
particular paths showing first that this integral is equal to the pro
duct of the strain energy at the end of the joint (i.e. at the debond
tip) by its thickness. This relationship reveals the partitioning of t
he opening mode I and the shearing mode II. Secondly, the general expr
ession of J as a function of the loading conditions is derived. It is
shown that this parameter can be related to the strain energy release
rate in the cases of small scale yielding conditions and for usual fra
cture mechanics specimens.