1. NSERC/Alcoa Industrial Research Chair MACE3 and Aluminium Research Centre-REGAL, Laval University, 1065 Avenue de la Medecine, Quebec, QC G1V 0A6, Canada;
2. Department of Civil and Water Engineering, Laval University, 1065 Avenue de la Medecine, Quebec, QC G1V 0A6, Canada e-mail:
3. Alcoa Smelting Center of Excellence, Program Manager Modeling, 100 Technical Drive, Alcoa Technical Center, PA 15069 e-mail:
4. Department of Mining, Metallurgical and Materials Engineering, Laval University, 1065 Avenue de la Medecine, Quebec, QC G1V 0A6, Canada e-mail: