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Metals 2019, 9(3), 371; https://doi.org/10.3390/met9030371

On the Design of Innovative Heterogeneous Sheet Metal Tests Using a Shape Optimization Approach

Department of Mechanical Engineering, Centre for Mechanical Technology and Automation, University of Aveiro, 3810-193 Aveiro, Portugal
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This paper is an extended version of our paper published in: Aquino, J.; Andrade Campos, A.; Souto, N.; Thuillier, S. On the design of innovative heterogeneous tests using a shape optimization approach. In Proceedings of the 21st International Esaform Conference On Material Forming: Esaform 2018, Palermo, Italy, 23–25 April 2018.
Received: 15 February 2019 / Revised: 11 March 2019 / Accepted: 16 March 2019 / Published: 22 March 2019
(This article belongs to the Special Issue Constitutive Modelling for Metals)
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Abstract

The development of full-field measurement methods has enabled a new trend of heterogeneous mechanical tests. The inhomogeneous strain fields retrieved from these tests are being widely used in the calibration of constitutive models for sheet metals. However, today, there is no mechanical test able to characterize the material in a large range of strain states. The aim of this work is to present a heterogeneous mechanical test with an innovative tool/specimen shape, capable of producing rich heterogeneous strain paths and thus providing extensive information on material behavior. The proposed specimen is found using a shape optimization process where an index that evaluates the richness of strain information is used. In this work, the methodology and results are extended to non-specimen geometry dependence and to the non-dependence of the geometry parametrization through the use of the Ritz method for boundary value problems. Different curve models, such as splines, B-splines, and NURBS, are used, and C1 continuity throughout the specimen is guaranteed. Moreover, several deterministic and stochastic optimization methods are used in order to find the method or the combination of methods able to minimize the cost function effectively. Results demonstrated that the solution is dependent on the geometry definition, as well as on the optimization methodology. Nevertheless, the obtained solutions provided a wider spectrum of strain states than standard tests. View Full-Text
Keywords: mechanical test; specimen design; optimization; strain heterogeneity; full-field measurements; sheet metal mechanical test; specimen design; optimization; strain heterogeneity; full-field measurements; sheet metal
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Andrade-Campos, A.; Aquino, J.; Martins, J.M.P.; Coelho, B. On the Design of Innovative Heterogeneous Sheet Metal Tests Using a Shape Optimization Approach. Metals 2019, 9, 371.

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