Multicriteria materials selection for extreme operating conditions based on a multiobjective analysis of irradiation emb
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Multicriteria materials selection for extreme operating conditions based on a multiobjective analysis of irradiation embrittlement and hot cracking prediction models A. Rodrı´guez-Prieto . A. M. Camacho . M. A. Sebastia´n
Received: 16 September 2017 / Accepted: 6 November 2017 Springer Science+Business Media B.V., part of Springer Nature 2017
Abstract A methodology for evaluating different combinations of materials specifications for extreme environment applications is presented. This new approach addresses the materials selection problem using a multicriteria stringency level methodology that defines several thresholds obtained by analyzing different prediction models of irradiation embrittlement and hot cracking. To solve the conflicts among thresholds as provided by the different prediction models, a multiobjective approach is carried out. Materials for reactor pressure vessels have been considered as case study. It has been concluded that the best option to manufacture a pressure vessel for a pressurized water modern reactor is the selection of German manufacturing standards. Finally, a sensitivity analysis of the proposed methodology has been performed to evaluate the divergences between the single stringency level methodology and the new proposal including multicriteria decision making aspects. Keywords Prediction-model Multiobjective MCDM Stringency level Structural materials Extreme environment
A. Rodrı´guez-Prieto (&) A. M. Camacho M. A. Sebastia´n Department of Manufacturing Engineering, UNED, Juan del Rosal 12, 28040 Madrid, Spain e-mail: [email protected]
List of symbols Aij Requirement i specified by the materials specification j A? Ideal solution A Anti-ideal solution CF Chemical factor (R.G. 1.99 Rev.2 prediction model) C? Relative closeness of each material j requirement Rij to the ideal solution A? ? di Separation between the requirement i specified by the materials specification j (Aij) and the ideal solution according to the constraints dSeparation between the requirement i i specified by the materials specification j (Aij) and the anti-ideal solution according to the constraints Li Distance between the solution provided by the upper bounds and the medium point or requirements range as established by multiobjective approach Ls Standardized limit (method of stringency levels) RCC-MR French code rij Normalized stringency level rj Mean value of rij for the materials specification j SIi Sensitivity index of the output S? The minimum Euclidean distance of any j requirement of the materials specification j from the ideal solution
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Sj
SL(Max) Tr Yp rt, rl P R, t U DRTDBT
The maximum Euclidean distance of any requirement of the materials specification j from the anti-ideal solution Maximum value of stringency level according to the defined scale Threshold Yield point Membrane theory stresses (transversal and longitudinal components) Pressure (in-service) Radius, thickness of vessel Neutron flux (n/cm2) Shift of ductile-to-brittle transi
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