Explicit formulation of theJ 2-integral in anisotropic materials and its application in microcrack shielding problems

Abstract

The explicit formulation of theJ 2-integral in anisotropic bodies and its application in microcrack shielding problems are discussed. With analytical treatments and numerical examinations, it is proved that there is a redistribution law for the remoteJ-integral in a discrete model of microcrack shielding problems, i.e. the projected conservation law of theJ k -vector. In this law, theJ 2-integral which was disregarded by Herrmann (1981) is proved to be of the same significance as theJ 1-integral. It is also concluded that the two energy dissipative processes due to the microcrack damage, i.e. the reduction in the effective moduli and the release of residual stresses, can be described by using the dissipation of the remoteJ-integral spreading across the microcrack damage zone.