The energy dissipation rate approach to tearing instability

Abstract

Stable and unstable tearing in metals is currently analysed by J integral theory, or by the G R curve approach. This paper explains an alternative analysis route based on energy dissipation rate, D. It is shown that the implication of increasing toughness with crack growth in G R and J R curves is misleading. Even in small scale yielding (SSY), it is possible to have stable tearing under increasing G or J whilst at the same time D is constant (or even reducing) with crack growth. New terms: C for crack driving force, D * for geometry normalised D, D ssy for D in SSY, and crack stability index are explained. A D based fracture analysis diagram is introduced. Comparisons are made between energy dissipation rate, J integral, and G R curve instability prediction methods. It is shown that, in most instances, these different approaches are compatible; but that the use of J R curves derived in fully yielded test pieces to predict failure in SSY has the potential to lead to an unconservative instability prediction. The practical advantage of the energy dissipation rate approach is that it can be applied to all product thicknesses at any extent of crack growth. The major advantage compared to the G R approach is that toughness measurements can be made on much smaller specimens.