The Jacobian derivative method for three‐dimensional fracture mechanics

Abstract

AbstractThis paper presents a new algorithm to compute the distribution of the strain energy release rate along the crack front for three‐dimensional cracks (e.g. surface cracks). The algorithm is economical and accurate. The algorithm is illustrated via two‐dimensional and three‐dimensional examples including a surface crack in a cylinder under internal pressure and side‐grooved compact‐test specimens. It is shown, via specific examples, that only a single, self‐similar virtual crack extension is necesary to accurately compute the strain‐energy release‐rate distribution along the crackfront.