Abstract
This chapter discusses energy release rates in axisymmetric problems. The problem of calculating energy release rates from a given stress and strain field in an elastic cracked body has been solved by means of the J integral. This integral has been extensively applied to plane stress and plane strain problems. In three dimensional problems, such a powerful tool does not exist. Three kinds of energy release rates have been defined corresponding to a movement of translation, rotation or expansion of the crack border, but it seems very difficult to find an energy release rate that will be adequate to describe the real movement of the crack border. In axisymmetrical problems, this question seems easier to solve because a crack has only one degree of freedom. The problem of an internal circular crack in an axisymmetrical homogeneous and elastic solid can be solved through an integral expression for the energy release rate during crack extension.
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