{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T18:23:33Z","timestamp":1778178213841,"version":"3.51.4"},"reference-count":34,"publisher":"Elsevier BV","issue":"24","license":[{"start":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T00:00:00Z","timestamp":1383264000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2016,5,5]],"date-time":"2016-05-05T00:00:00Z","timestamp":1462406400000},"content-version":"vor","delay-in-days":916,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Solids and Structures"],"published-print":{"date-parts":[[2013,11]]},"DOI":"10.1016\/j.ijsolstr.2013.07.018","type":"journal-article","created":{"date-parts":[[2013,8,3]],"date-time":"2013-08-03T10:01:14Z","timestamp":1375524074000},"page":"3829-3842","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":195,"title":["Characterization of the post-necking strain hardening behavior using the virtual fields method"],"prefix":"10.1016","volume":"50","author":[{"given":"J.-H.","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Serpanti\u00e9","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F.","family":"Barlat","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F.","family":"Pierron","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.-G.","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"5\u20137","key":"10.1016\/j.ijsolstr.2013.07.018_b0005","doi-asserted-by":"crossref","first-page":"857","DOI":"10.3166\/remn.17.857-868","article-title":"Estimation of the strain field from full-field displacement noisy data: comparing finite elements global least squares and polynomial diffuse approximation","volume":"17","author":"Avril","year":"2008","journal-title":"European Journal of Computational Mechanics\/Revue Europ\u00e9enne de M\u00e9canique Num\u00e9rique"},{"issue":"4","key":"10.1016\/j.ijsolstr.2013.07.018_b0010","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s11340-008-9128-2","article-title":"3D heterogeneous stiffness reconstruction using MRI and the virtual fields method","volume":"48","author":"Avril","year":"2008","journal-title":"Experimental Mechanics"},{"issue":"4","key":"10.1016\/j.ijsolstr.2013.07.018_b0015","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1007\/s11340-007-9084-2","article-title":"Stress reconstruction and constitutive parameter identification in plane-stress elasto-plastic problems using surface measurements of deformation fields","volume":"48","author":"Avril","year":"2008","journal-title":"Experimental Mechanics"},{"issue":"15","key":"10.1016\/j.ijsolstr.2013.07.018_b0020","doi-asserted-by":"crossref","first-page":"2978","DOI":"10.1016\/j.jbiomech.2010.07.004","article-title":"Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements","volume":"43","author":"Avril","year":"2010","journal-title":"Journal of Biomechanics"},{"issue":"9","key":"10.1016\/j.ijsolstr.2013.07.018_b0025","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1016\/S0749-6419(02)00019-0","article-title":"Plane stress yield function for aluminum alloy sheets \u2013 Part 1: Theory","volume":"19","author":"Barlat","year":"2003","journal-title":"International Journal of Plasticity"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0030","series-title":"Applied Mechanics of Solids","author":"Bower","year":"2011"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0035","series-title":"Studies in Large Plastic Flow and Fracture with Special Emphasis on the Effects of Hydrostatic Pressure","author":"Bridgman","year":"1952"},{"issue":"5","key":"10.1016\/j.ijsolstr.2013.07.018_b0040","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1016\/S0168-874X(03)00096-9","article-title":"Experimental and numerical analysis of the tensile test using sheet specimens","volume":"40","author":"Cabezas","year":"2004","journal-title":"Finite Elements in Analysis and Design"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0045","series-title":"Constitutive Equations for Engineering Materials","volume":"vol. 2","author":"Chen","year":"1994"},{"issue":"3","key":"10.1016\/j.ijsolstr.2013.07.018_b0050","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/j.jmatprotec.2010.11.015","article-title":"Identification of the post-necking hardening behaviour of sheet metal by comparison of the internal and external work in the necking zone","volume":"211","author":"Coppieters","year":"2011","journal-title":"Journal of Materials Processing Technology"},{"issue":"9","key":"10.1016\/j.ijsolstr.2013.07.018_b0055","doi-asserted-by":"crossref","first-page":"1130","DOI":"10.1016\/j.ijsolstr.2009.12.011","article-title":"Hybrid experimental\u2013numerical analysis of basic ductile fracture experiments for sheet metals","volume":"47","author":"Dunand","year":"2010","journal-title":"International Journal of Solids and Structures"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0060","series-title":"Introduction to Computational Plasticity","author":"Dunne","year":"2005"},{"issue":"7","key":"10.1016\/j.ijsolstr.2013.07.018_b0065","doi-asserted-by":"crossref","first-page":"1089","DOI":"10.1016\/j.engfracmech.2004.07.012","article-title":"The effects of compressive and tensile prestrain on ductile fracture initiation in steels","volume":"72","author":"Enami","year":"2005","journal-title":"Engineering Fracture Mechanics"},{"issue":"4","key":"10.1016\/j.ijsolstr.2013.07.018_b0070","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1016\/j.ijplas.2005.04.007","article-title":"Applying the virtual fields method to the identification of elasto-plastic constitutive parameters","volume":"22","author":"Gr\u00e9diac","year":"2006","journal-title":"International Journal of Plasticity"},{"issue":"1033","key":"10.1016\/j.ijsolstr.2013.07.018_b0075","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1098\/rspa.1948.0045","article-title":"A theory of the yielding and plastic flow of anisotropic metals","volume":"193","author":"Hill","year":"1948","journal-title":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences"},{"issue":"7","key":"10.1016\/j.ijsolstr.2013.07.018_b0080","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.mechmat.2007.11.006","article-title":"A new method for acquiring true stress\u2013strain curves over a large range of strains using a tensile test and finite element method","volume":"40","author":"Joun","year":"2008","journal-title":"Mechanics of Materials"},{"issue":"13","key":"10.1016\/j.ijsolstr.2013.07.018_b0085","doi-asserted-by":"crossref","first-page":"3439","DOI":"10.1016\/j.ijsolstr.2004.02.021","article-title":"Characterisation of materials subjected to large strains by inverse modelling based on in-plane displacement fields","volume":"41","author":"Kajberg","year":"2004","journal-title":"International Journal of Solids and Structures"},{"issue":"5","key":"10.1016\/j.ijsolstr.2013.07.018_b0090","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.mechmat.2011.02.007","article-title":"A procedure for determining the true stress\u2013strain curve over a large range of strains using digital image correlation and finite element analysis","volume":"43","author":"Kamaya","year":"2011","journal-title":"Mechanics of Materials"},{"issue":"1","key":"10.1016\/j.ijsolstr.2013.07.018_b0095","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.commatsci.2004.02.004","article-title":"Computer-aided identification of the yield curve of a sheet metal after onset of necking","volume":"31","author":"Koc","year":"2004","journal-title":"Computational Materials Science"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0100","first-page":"37","article-title":"Uniaxial true stress\u2013strain after necking","volume":"5","author":"Ling","year":"1996","journal-title":"AMP Journal of Technology"},{"issue":"13","key":"10.1016\/j.ijsolstr.2013.07.018_b0105","doi-asserted-by":"crossref","first-page":"3545","DOI":"10.1016\/j.ijsolstr.2004.02.011","article-title":"A new model for the elastoplastic characterization and the stress\u2013strain determination on the necking section of a tensile specimen","volume":"41","author":"Mirone","year":"2004","journal-title":"International Journal of Solids and Structures"},{"issue":"3","key":"10.1016\/j.ijsolstr.2013.07.018_b0110","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.jmatprotec.2009.10.003","article-title":"Determination of the flow stress of five AHSS sheet materials (DP 600, DP 780, DP 780-CR, DP 780-HY and TRIP 780) using the uniaxial tensile and the biaxial viscous pressure bulge (VPB) tests","volume":"210","author":"Nasser","year":"2010","journal-title":"Journal of Materials Processing Technology"},{"issue":"6","key":"10.1016\/j.ijsolstr.2013.07.018_b0115","doi-asserted-by":"crossref","first-page":"735","DOI":"10.1007\/s11340-006-9822-x","article-title":"Identification of elasto-plastic constitutive parameters from statically undetermined tests using the virtual fields method","volume":"46","author":"Pannier","year":"2006","journal-title":"Experimental Mechanics"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0120","series-title":"The Virtual Fields Method","author":"Pierron","year":"2012"},{"issue":"22","key":"10.1016\/j.ijsolstr.2013.07.018_b0125","doi-asserted-by":"crossref","first-page":"2993","DOI":"10.1016\/j.ijsolstr.2010.06.022","article-title":"Extension of the virtual fields method to elasto-plastic material identification with cyclic loads and kinematic hardening","volume":"47","author":"Pierron","year":"2010","journal-title":"International Journal of Solids and Structures"},{"issue":"1","key":"10.1016\/j.ijsolstr.2013.07.018_b0130","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/s00466-011-0627-0","article-title":"Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields","volume":"49","author":"Rossi","year":"2012","journal-title":"Computational Mechanics"},{"issue":"2","key":"10.1016\/j.ijsolstr.2013.07.018_b0135","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF02328705","article-title":"Determination of elastic-plastic stresses and strains from measured surface strain data","volume":"36","author":"Sutton","year":"1996","journal-title":"Experimental Mechanics"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0140","series-title":"Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications","author":"Sutton","year":"2009"},{"issue":"1","key":"10.1016\/j.ijsolstr.2013.07.018_b0145","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/s10999-008-9082-2","article-title":"An iterative procedure for determining effective stress\u2013strain curves of sheet metals","volume":"5","author":"Tao","year":"2009","journal-title":"International Journal of Mechanics and Materials in Design"},{"issue":"25","key":"10.1016\/j.ijsolstr.2013.07.018_b0150","doi-asserted-by":"crossref","first-page":"3496","DOI":"10.1016\/j.ijsolstr.2012.01.011","article-title":"Determination of anisotropy and material hardening for aluminum sheet metal","volume":"49","author":"Tardif","year":"2012","journal-title":"International Journal of Solids and Structures"},{"issue":"1","key":"10.1016\/j.ijsolstr.2013.07.018_b0155","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/0045-7825(93)90049-4","article-title":"Necking in tensile bars with rectangular cross-section","volume":"103","author":"Tvergaard","year":"1993","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"10.1016\/j.ijsolstr.2013.07.018_b0160","unstructured":"WorldAutoSteel. 2009. Advanced high strength steel (AHSS) application guidelines version 4.1. <www.worldautosteel.org>."},{"issue":"23","key":"10.1016\/j.ijsolstr.2013.07.018_b0165","doi-asserted-by":"crossref","first-page":"3497","DOI":"10.1016\/S0020-7683(98)00153-X","article-title":"Determining material true stress\u2013strain curve from tensile specimens with rectangular cross-section","volume":"36","author":"Zhang","year":"1999","journal-title":"International Journal of Solids and Structures"},{"issue":"2","key":"10.1016\/j.ijsolstr.2013.07.018_b0170","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0013-7944(94)90006-X","article-title":"Numerical analysis of the stress\u2013strain curve and fracture initiation for ductile material","volume":"49","author":"Zhano","year":"1994","journal-title":"Engineering Fracture Mechanics"}],"container-title":["International Journal of Solids and Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020768313002989?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020768313002989?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,10,14]],"date-time":"2018-10-14T01:22:49Z","timestamp":1539480169000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0020768313002989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11]]},"references-count":34,"journal-issue":{"issue":"24","published-print":{"date-parts":[[2013,11]]}},"alternative-id":["S0020768313002989"],"URL":"https:\/\/doi.org\/10.1016\/j.ijsolstr.2013.07.018","relation":{},"ISSN":["0020-7683"],"issn-type":[{"value":"0020-7683","type":"print"}],"subject":[],"published":{"date-parts":[[2013,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Characterization of the post-necking strain hardening behavior using the virtual fields method","name":"articletitle","label":"Article Title"},{"value":"International Journal of Solids and Structures","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ijsolstr.2013.07.018","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2013 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}