The crack propagation problem for linear elastic fracture mechanics has been studied by several authors exploiting its analogy with standard dissipative systems theory (see e.g. [1, 2, 3, 4] ). This approach is here further advanced, by noting that Amestoy and Leblond Stress Intensity Factors (SIFs) asymptotic expansion [5] enjoys a Colonnetti's decomposition [6, 7] interpretation. As a consequence, minimum theorems are derived in terms of crack tip "quasi static velocity". They are reminiscent of Ceradini's theorem [8, 9] in plasticity.
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