A comparison of methods for calculating energy release rates Academic Article uri icon


  • We compare two methods for calculating the energy released during quasi-static crack advance. One method is based on a surface integral (line integral in two dimensions) expression for the energy release rate, whereas the other method is based on a volume (area) integral representation. A concise derivation of the volume (area) integral expression is given using a virtual-work-type identity for Eshelby's energy momentum tensor. The finite-element implementation of the volume (area) integral formulation corresponds to the virtual crack extension method. Within the context of this formulation, we outline a procedure for calculating pointwise values of the energy release rate along a three-dimensional crack front. For illustrative purposes, numerical examples are presented for a fully plastic, plane strain, edge-cracked panel subject to combined tension and bending. © 1985.

published proceedings

  • Engineering Fracture Mechanics

altmetric score

  • 3

author list (cited authors)

  • Li, F. Z., Shih, C. F., & Needleman, A

citation count

  • 495

complete list of authors

  • Li, FZ||Shih, CF||Needleman, A

publication date

  • January 1985