The Development and Application of Optimisation Technique for the Calibrating of Creep Cavitation Model Based on Cavity Histogram

It is generally accepted that the creep rupture is primarily determined by the creep cavitation at grain boundaries, hence it is vital important to develop an accurate cavitation model. Most of the existing creep cavity models used some simplifications such as using average diameter of cavities, assumed nucleation, et al. Recently, the concept of calibrating the creep cavity models using 3D cavity histogram without any aforementioned simplifications was conceived and practical trial and error method was devised and used. Whilst the use of such trial and error method had produced results, arguably very accurate too, but its use heavily relies on the user’s insight knowledge of the characteristics of the cavity density distribution function and intervention. Here, we present the development and application of optimisation techniques for the calibration of creep cavitation model using Excel Solver, via the minimising the difference of the predicted cavity distribution density (number of cavities per volume) over cavity size and the experimental measured one. Its application produces an updated creep cavitation model without any suspicions doubt of its mathematical accuracy. We anticipate this optimisation implementation via Excel Solver will be widely used in future.