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A forming time estimator of superplastic free bulge tests based on dimensional analysis

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Abstract

Dimensional analysis is performed as a method to evaluate the characteristics of superplastic forming processes. The analysis is focused on the forming time results from superplastic free bulge tests so that an estimator for the forming time is obtained based on dimensionless parameters. The dimensional analysis is performed by applying the normalisation to the dynamic equations and their corresponding boundary conditions, from which five dimensionless parameters are obtained. Particular conditions of the tests allow to reduce the parameters to two. This preliminary study of the applicability of the dimensional analysis on superplastic forming processes will guide for further steps in which this technique may help during the initial stages of the process layout.

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Acknowledgements

The authors wish to thank Prof. Luigi Tricarico, Prof. Donato Sorgente and the Dipartimento di Meccanica, Matematica e Management (DMMM) of the University of Bari (Italy) for allowing to perform the tests in its facilities.

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Authors and Affiliations

  1. Department Mechanical Engineering and Industrial Design, School of Engineering, University of Cadiz, Av. Universidad de Cádiz, 10, Puerto Real, Cádiz, E-11519, Spain

    L. García-Barrachina & A. J. Gámez

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  1. L. García-Barrachina
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  2. A. J. Gámez
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Correspondence to L. García-Barrachina.

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García-Barrachina, L., Gámez, A.J. A forming time estimator of superplastic free bulge tests based on dimensional analysis. Int J Mater Form 14, 499–506 (2021). https://doi.org/10.1007/s12289-019-01527-x

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