{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,22]],"date-time":"2025-05-22T04:48:49Z","timestamp":1747889329023,"version":"3.41.0"},"reference-count":16,"publisher":"Trans Tech Publications, Ltd.","license":[{"start":{"date-parts":[[2022,7,22]],"date-time":"2022-07-22T00:00:00Z","timestamp":1658448000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2022,7,22]],"date-time":"2022-07-22T00:00:00Z","timestamp":1658448000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.scientific.net\/license\/TDM_Licenser.pdf"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["KEM"],"abstract":"<jats:p>To enable an accurate simulation of manufacturing processes, it is essential to characterise and model the mechanical behaviour of sheet metals up to large deformations. However, after the onset of necking, deformation becomes highly heterogeneous and the stress is triaxial. By combining full-field measurements and inverse methods, it is possible to calibrate the mechanical behaviour beyond necking. A possibility is to use the virtual fields method, by extending its formulation to a fully three-dimensional approach. However, measuring deformation in the bulk of the material is still a challenge. To address this limitation, a volume reconstruction method able to estimate the deformation inside the specimen was proposed and successfully validated. The aim of this work is to estimate the error of the volume reconstruction method by using a simulated tensile test and the measurement chain associated with a virtual stereo-DIC setup composed of four cameras. A three-dimensional finite element model is used to deform synthetically generated images. The DIC field maps obtained with different setup configurations and DIC settings are used to estimate the error by comparing the reconstructed volume with the reference finite element model. Results show that the impact of conditions and DIC settings on the reconstructed volume is low.<\/jats:p>","DOI":"10.4028\/p-abe455","type":"journal-article","created":{"date-parts":[[2022,7,22]],"date-time":"2022-07-22T11:34:13Z","timestamp":1658489653000},"page":"2129-2136","source":"Crossref","is-referenced-by-count":1,"title":["Error Estimation of the 3D Reconstruction of a Displacement Field from DIC Measurements"],"prefix":"10.4028","volume":"926","author":[{"given":"Miguel Guimar\u00e3es","family":"Oliveira","sequence":"first","affiliation":[{"name":"University of Aveiro"}]},{"given":"Attilio","family":"Lattanzi","sequence":"additional","affiliation":[{"name":"Universit\u00e0 Politecnica delle Marche"}]},{"given":"Sandrine","family":"Thuillier","sequence":"additional","affiliation":[{"name":"Univ. Bretagne Sud"}]},{"given":"Ant\u00f3nio","family":"Andrade-Campos","sequence":"additional","affiliation":[{"name":"University of Aveiro"}]},{"given":"Marco","family":"Rossi","sequence":"additional","affiliation":[{"name":"Universit\u00e0 Politecnica delle Marche"}]}],"member":"2457","published-online":{"date-parts":[[2022,7,22]]},"reference":[{"key":"4586196","doi-asserted-by":"publisher","unstructured":"A. E. Bayoumi and R. Joshi, On the formabllity\/instability of stretch-forming sheet metals,, Applied Mechanics Reviews, vol. 45, S154-S164, 3S (1992).","DOI":"10.1115\/1.3121386"},{"issue":"9","key":"4586197","doi-asserted-by":"publisher","first-page":"2055","DOI":"10.1016\/s0022-5096(01)00031-x","article-title":"On the mechanics of localized necking in anisotropic sheet metals","volume":"49","author":"Hill","unstructured":"R. Hill, On the mechanics of localized necking in anisotropic sheet metals,, Journal of the Mechanics and Physics of Solids, vol. 49, pp.2055-2070, (2001).","journal-title":"Journal of the Mechanics and Physics of Solids"},{"key":"4586198","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/j.ijmecsci.2016.09.033","article-title":"Prediction of failure in bending of an aluminium sheet alloy","volume":"119","author":"Pradeau","unstructured":"A. Pradeau, S. Thuillier, and J. W. Yoon, Prediction of failure in bending of an aluminium sheet alloy,, International Journal of Mechanical Sciences, vol. 119, pp.23-35, (2016).","journal-title":"International Journal of Mechanical Sciences"},{"key":"4586199","doi-asserted-by":"publisher","first-page":"703","DOI":"10.4028\/www.scientific.net\/kem.504-506.703","article-title":"Identification of the Plastic Behaviour in the Post-Necking Regime Using a Three Dimensional Reconstruction Technique","volume":"504-506","author":"Rossi","year":"2012","unstructured":"M. Rossi and F. Pierron, Identification of the plastic behaviour in the post-necking regime using a three dimensional reconstruction technique,, vol. 504-506, Trans Tech Publications Ltd, 2012, pp.703-708.","journal-title":"Key Engineering Materials","ISSN":"https:\/\/id.crossref.org\/issn\/1662-9795","issn-type":"electronic"},{"key":"4586200","doi-asserted-by":"publisher","unstructured":"J. H. Kim, A. Serpanti\u00e9, F. Barlat, F. Pierron, and M. G. Lee, Characterization of the postnecking strain hardening behavior using the virtual fields method,, International Journal of Solids and Structures, vol. 50, pp.3829-3842, 24 (2013).","DOI":"10.1016\/j.ijsolstr.2013.07.018"},{"key":"4586201","doi-asserted-by":"publisher","unstructured":"F. Pierron and M. Gr\u00e9diac, Towards material testing 2.0. a review of test design for identification of constitutive parameters from full-field measurements,, Strain, vol. 57, 1 (2021).","DOI":"10.1111\/str.12370"},{"key":"4586202","doi-asserted-by":"publisher","unstructured":"M. A. Sutton, J. J. Orteu, and H. Schreier, Image correlation for shape, motion and deformation measurements. Springer US, (2009).","DOI":"10.1007\/978-0-387-78747-3"},{"key":"4586203","doi-asserted-by":"crossref","unstructured":"A. Buljac et al., Digital volume correlation: Review of progress and challenges,, Experimental Mechanics, vol. 58, pp.661-708, 5 (2018).","DOI":"10.1007\/s11340-018-0390-7"},{"issue":"6","key":"4586204","doi-asserted-by":"publisher","first-page":"528","DOI":"10.1111\/str.12008","article-title":"3D Residual Stress Field in Arteries: Novel Inverse Method Based on Optical Full-field Measurements","volume":"48","author":"Badel","year":"2012","unstructured":"P. Badel, K. Genovese, and S. Avril, 3d residual stress field in arteries: Novel inverse method based on optical full-field measurements,, Strain, vol. 48, pp.528-538, 6 (2012).","journal-title":"Strain"},{"key":"4586205","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.optlaseng.2016.09.012","article-title":"Whole-field thickness strain measurement using multiple camera digital image correlation system","volume":"90","author":"Li","unstructured":"J. Li, X. Xie, G. Yang, B. Zhang, T. Siebert, and L. Yang, Whole-field thickness strain measurement using multiple camera digital image correlation system,, Optics and Lasers in Engineering, vol. 90, pp.19-25, (2017).","journal-title":"Optics and Lasers in Engineering"},{"key":"4586206","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/j.optlaseng.2016.02.015","article-title":"A 360-deg Digital Image Correlation system for materials testing","volume":"82","author":"Genovese","unstructured":"K. Genovese, L. Cortese, M. Rossi, and D. Amodio, A 360-deg digital image correlation system for materials testing,, Optics and Lasers in Engineering, vol. 82, pp.127-134, (2016).","journal-title":"Optics and Lasers in Engineering"},{"issue":"7","key":"4586207","doi-asserted-by":"publisher","first-page":"1181","DOI":"10.1007\/s11340-018-0409-0","article-title":"Evaluation of Volume Deformation from Surface DIC Measurement","volume":"58","author":"Rossi","year":"2018","unstructured":"M. Rossi, L. Cortese, K. Genovese, A. Lattanzi, F. 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