The Jacobian derivative method for three‐dimensional fracture mechanics Academic Article uri icon


  • This 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 necessary to accurately compute the strain-energy release-rate distribution along the crackfront.

author list (cited authors)

  • Barbero, E. J., & Reddy, J. N.

citation count

  • 22

publication date

  • October 1990