Rist, Martin; Mulyadi, M.; Edwards, Lyndon and Brooks, J.W.
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This paper surveys a range of numerical methods for the optimisation of material parameters in a single state-variable constitutive model applied to the hot deformation of Ti-6Sn-2Zr-4Mn-6Mo. Minimisation of an objective function, describing the least squares difference between experimental results and model output, was carried out using several methods: Nelder-Mead direct search, quasi-Newton gradient, trust-region Newton and genetic algorithms. The most robust approach involved gaining an initial estimate of parameter values using the genetic algorithms and then refining this with a Nelder-Mead search. A scheme for estimating the confidence limits of the derived parameters is also presented.
|Item Type:||Book Chapter|
|Academic Unit/Department:||Mathematics, Computing and Technology > Engineering & Innovation|
|Depositing User:||Martin Rist|
|Date Deposited:||01 Mar 2007|
|Last Modified:||02 Dec 2010 19:57|
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