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The present study deals with the flow stress characterization of 7075 aluminum alloy using process maps and constitutive flow behavior modeling. The latter was performed employing the work hardening‐DRV and DRX based models. The hot compression tests data in a wide range of temperature and strain rate were used to develop the activation energy map, strain rate sensitivity map, and the processing maps. Furthermore, in comparison with previously hired models, the DRX based model showed a good compatibility with the experimental results and therefore it was approved as a novel technique to justify the main restoration mechanism in 7075 aluminum alloy.

We prove that the sequence of MacLane key polynomials constructed in [7] and [3] for a valuation extension (K, ν) ⊂ (K(x), µ) is finite, provided that both ν and µ are divisorial and µ is centered over an analytically irreducible local domain (R, m) ⊂ K[x]. As a corollary, we prove Izumi's theorem on comparison of divisorial valuations. We give explicit bounds for the Izumi constant in terms of the key polynomials of the valuations. We show that this bound can be attained in some cases.