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Control Parameters Correlation by Multiple Linear Robust Regression for the Design of Heat Treatments For Al-6063 Alloy

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Abstract

In this work, an alternative statistical multiple linear robust regression methodology was used to analyze the experimental data obtained from tensile tests performed on heat treated samples of an aluminium 6063 alloy. The proposed methodology allows the identification of empirical relations between the ageing temperature and process time with the mechanical strength (UTS) and yield point (YS) of the alloy. Through these empirical relationships: a) \( UTS=0.0932{T}_a{t}_A-0.1356{t}_A^2-0.0002434{T}_a^2{t}_A+0.00063{t}_A^3 \) and b) \( YS=5.10{T}_a-20.32{t}_A-0.05281{T}_a^2+0.2297{T}_a{t}_A+0.0001459{T}_a^3-0.0006192{T}_a^2{t}_A \), obtained by using the multiple linear robust regression methodology, it was possible to find that an ageing temperature of 192 °C for 120 min would produce the maximum strength levels for the Al-6063 alloy. For such alloy, empirical relationships were successfully determined for ageing heat treatment design.

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Acknowledgements

Funding provided by Cátedras CONACYT, by supporting researchers with the following ID numbers: 2309, 7360, 5150 and 6471 is greatly appreciated.

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Authors and Affiliations

  1. CONACYT-CIATEQ, Unidad San Luis Potosí, Eje 126 No. 225, Zona Industrial, C.P. 78395, San Luis Potosí, S.L.P, Mexico

    J. Mayén

  2. CONACYT, Corporación Mexicana de Investigación en Materiales, C.P. 25290, Saltillo, Coahuila, Mexico

    A. Gallegos-Melgar, V.H. Mercado-Lemus & M. Hernandez-Hernandez

  3. Tecnológico Nacional de México-Centro Nacional de Investigación y Desarrollo Tecnológico (CENIDET), Prolongación Palmira s/n esq. Apatzingán, Col. Palmira, Cuernavaca, Morelos, Mexico

    A. Abúndez & E. Alcudia

  4. CECyTE, Plantel XII, Villa de Pozos, San Luis Potosí, Mexico

    I. Pereyra

  5. CIICAp-FCQeI-Universidad Autónoma del Estado de Morelos, Av. Universidad 1001 Col., Chamilpa, C.P. 62209, Cuernavaca, Mor, Mexico

    S.A. Serna

  6. Centro de Tecnología Avanzada A.C., Procesos de Manufactura, Av. Manantiales 23-A, Parque Industrial Bernardo Quintana, El Marqués, Qro, Mexico

    C.A. Poblano-Salas

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  1. J. Mayén
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Correspondence to J. Mayén.

Appendix 1: Tensile test results

Appendix 1: Tensile test results

Table 5 Test results for the 36 samples
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Mayén, J., Gallegos-Melgar, A., Mercado-Lemus, V. et al. Control Parameters Correlation by Multiple Linear Robust Regression for the Design of Heat Treatments For Al-6063 Alloy. Exp Tech 43, 91–103 (2019). https://doi.org/10.1007/s40799-018-0269-7

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