{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T05:32:24Z","timestamp":1775885544131,"version":"3.50.1"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2014,5,2]],"date-time":"2014-05-02T00:00:00Z","timestamp":1398988800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Exp Mech"],"published-print":{"date-parts":[[2014,9]]},"DOI":"10.1007\/s11340-014-9879-x","type":"journal-article","created":{"date-parts":[[2014,5,1]],"date-time":"2014-05-01T19:52:14Z","timestamp":1398973934000},"page":"1189-1204","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":98,"title":["Determination of Anisotropic Plastic Constitutive Parameters Using the Virtual Fields Method"],"prefix":"10.1007","volume":"54","author":[{"given":"J.-H.","family":"Kim","sequence":"first","affiliation":[]},{"given":"F.","family":"Barlat","sequence":"additional","affiliation":[]},{"given":"F.","family":"Pierron","sequence":"additional","affiliation":[]},{"given":"M.-G.","family":"Lee","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,5,2]]},"reference":[{"issue":"1","key":"9879_CR1","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/S0749-6419(01)00033-X","volume":"19","author":"PD Wu","year":"2003","unstructured":"Wu PD, Jain M, Savoie J, MacEwen SR, Tu\u011fcu P, Neale KW (2003) Evaluation of anisotropic yield functions for aluminum sheets. Int J Plasticity 19(1):121\u2013138","journal-title":"Int J Plasticity"},{"key":"9879_CR2","doi-asserted-by":"crossref","unstructured":"Banabic D (2010) Sheet metal forming processes: constitutive modelling and numerical simulation. Springer","DOI":"10.1007\/978-3-540-88113-1"},{"issue":"1033","key":"9879_CR3","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1098\/rspa.1948.0045","volume":"193","author":"R Hill","year":"1948","unstructured":"Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc Roy Soc Lond Math Phys Sci 193(1033):281\u2013297","journal-title":"Proc Roy Soc Lond Math Phys Sci"},{"issue":"9","key":"9879_CR4","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1016\/S0749-6419(02)00019-0","volume":"19","author":"F Barlat","year":"2003","unstructured":"Barlat F, Brem JC, Yoon JW, Chung K, Dick RE, Lege DJ, Pourboghrat F, Choi S-H, Chu E (2003) Plane stress yield function for aluminum alloy sheets - part 1: theory. Iny J Plasticity 19(9):1297\u20131319","journal-title":"Iny J Plasticity"},{"issue":"7","key":"9879_CR5","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1016\/j.compositesa.2004.01.019","volume":"35","author":"M Gr\u00e9diac","year":"2004","unstructured":"Gr\u00e9diac M (2004) The use of full-field measurement methods in composite material characterization: interest and limitations. Compos Part A-Appl S 35(7):751\u2013761","journal-title":"Compos Part A-Appl S"},{"issue":"14","key":"9879_CR6","doi-asserted-by":"crossref","first-page":"4978","DOI":"10.1016\/j.ijsolstr.2006.12.018","volume":"44","author":"S Avril","year":"2007","unstructured":"Avril S, Pierron F (2007) General framework for the identification of constitutive parameters from full-field measurements in linear elasticity. Int J Solids Struct 44(14):4978\u20135002","journal-title":"Int J Solids Struct"},{"issue":"1","key":"9879_CR7","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/S0924-0136(97)00366-X","volume":"75","author":"MHH Meuwissen","year":"1998","unstructured":"Meuwissen MHH, Oomens CWJ, Baaijens FPT, Petterson R, Janssen JD (1998) Determination of the elasto-plastic properties of aluminium using a mixed numerical\u2013experimental method. J Mater Process Tech 75(1):204\u2013211","journal-title":"J Mater Process Tech"},{"issue":"6","key":"9879_CR8","doi-asserted-by":"crossref","first-page":"927","DOI":"10.1016\/S0997-7538(02)01246-9","volume":"21","author":"A Khalfallah","year":"2002","unstructured":"Khalfallah A, Bel Hadj Salah H, Dogui A (2002) Anisotropic parameter identification using inhomogeneous tensile test. Eur J Mech A-Solid 21(6):927\u2013942","journal-title":"Eur J Mech A-Solid"},{"issue":"13","key":"9879_CR9","doi-asserted-by":"crossref","first-page":"3439","DOI":"10.1016\/j.ijsolstr.2004.02.021","volume":"41","author":"J Kajberg","year":"2004","unstructured":"Kajberg J, Lindkvist G (2004) Characterisation of materials subjected to large strains by inverse modelling based on in-plane displacement fields. Int J Solids Struct 41(13):3439\u20133459","journal-title":"Int J Solids Struct"},{"issue":"1","key":"9879_CR10","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.ijmecsci.2007.05.009","volume":"50","author":"S Belhabib","year":"2008","unstructured":"Belhabib S, Haddadi H, Gasp\u00e9rini M, Vacher P (2008) Heterogeneous tensile test on elastoplastic metallic sheets: Comparison between FEM simulations and full-field strain measurements. Int J Mech Sci 50(1):14\u201321","journal-title":"Int J Mech Sci"},{"issue":"3","key":"9879_CR11","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/j.euromechsol.2010.10.001","volume":"30","author":"T Pottier","year":"2011","unstructured":"Pottier T, Toussaint F, Vacher P (2011) Contribution of heterogeneous strain field measurements and boundary conditions modelling in inverse identification of material parameters. Eur J Mech A-Solid 30(3):373\u2013382","journal-title":"Eur J Mech A-Solid"},{"issue":"25","key":"9879_CR12","doi-asserted-by":"crossref","first-page":"3517","DOI":"10.1016\/j.ijsolstr.2012.05.001","volume":"49","author":"A G\u00fcner","year":"2012","unstructured":"G\u00fcner A, Soyarslan C, Brosius A, Tekkaya AE (2012) Characterization of anisotropy of sheet metals employing inhomogeneous strain fields for Yld2000-2D yield function. Int J Solids Struct 49(25):3517\u20133527","journal-title":"Int J Solids Struct"},{"issue":"5","key":"9879_CR13","doi-asserted-by":"crossref","first-page":"1643","DOI":"10.1016\/j.ijsolstr.2006.06.050","volume":"44","author":"D Lecompte","year":"2007","unstructured":"Lecompte D, Smits A, Sol H, Vantomme J, Van Hemelrijck D (2007) Mixed numerical\u2013experimental technique for orthotropic parameter identification using biaxial tensile tests on cruciform specimens. Int J Solids Struct 44(5):1643\u20131656","journal-title":"Int J Solids Struct"},{"issue":"4","key":"9879_CR14","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1007\/s11340-007-9094-0","volume":"48","author":"S Cooreman","year":"2008","unstructured":"Cooreman S, Lecompte D, Sol H, Vantomme J, Debruyne D (2008) Identification of mechanical material behavior through inverse modeling and DIC. Exp Mech 48(4):421\u2013433","journal-title":"Exp Mech"},{"issue":"4","key":"9879_CR15","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1016\/j.ijmecsci.2009.12.003","volume":"52","author":"M Teaca","year":"2010","unstructured":"Teaca M, Charpentier I, Martiny M, Ferron G (2010) Identification of sheet metal plastic anisotropy using heterogeneous biaxial tensile tests. Int J Mech Sci 52(4):572\u2013580","journal-title":"Int J Mech Sci"},{"issue":"7","key":"9879_CR16","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1007\/s11340-011-9555-3","volume":"52","author":"T Pottier","year":"2012","unstructured":"Pottier T, Vacher P, Toussaint F, Louche H, Coudert T (2012) Out-of-plane testing procedure for inverse identification purpose: application in sheet metal plasticity. Exp Mech 52(7):951\u2013963","journal-title":"Exp Mech"},{"key":"9879_CR17","doi-asserted-by":"crossref","unstructured":"Rastogi PK (ed) (2000) Photomechanics, topics in applied physics, vol 77. Springer, Berlin (Germany)","DOI":"10.1007\/3-540-48800-6"},{"issue":"10","key":"9879_CR18","doi-asserted-by":"crossref","first-page":"2691","DOI":"10.1016\/S0020-7683(02)00127-0","volume":"39","author":"M Gr\u00e9diac","year":"2002","unstructured":"Gr\u00e9diac M, Toussaint E, Pierron F (2002) Special virtual fields for the direct determination of material parameters with the virtual fields method. 1\u2013Principle and definition. Int J Solids Struct 39(10):2691\u20132705","journal-title":"Int J Solids Struct"},{"issue":"4","key":"9879_CR19","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1016\/j.ijplas.2005.04.007","volume":"22","author":"M Gr\u00e9diac","year":"2006","unstructured":"Gr\u00e9diac M, Pierron F (2006) Applying the virtual fields method to the identification of elasto-plastic constitutive parameters. Iny J Plasticity 22(4):602\u2013627","journal-title":"Iny J Plasticity"},{"issue":"6","key":"9879_CR20","doi-asserted-by":"crossref","first-page":"735","DOI":"10.1007\/s11340-006-9822-x","volume":"46","author":"Y Pannier","year":"2006","unstructured":"Pannier Y, Avril S, Rotinat R, Pierron F (2006) Identification of elasto-plastic constitutive parameters from statically undetermined tests using the virtual fields method. Exp Mech 46(6):735\u2013755","journal-title":"Exp Mech"},{"issue":"4","key":"9879_CR21","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1007\/s11340-007-9084-2","volume":"48","author":"S Avril","year":"2008","unstructured":"Avril S, Pierron F, Pannier Y, Rotinat R (2008) Stress reconstruction and constitutive parameter identification in plane-stress elasto-plastic problems using surface measurements of deformation fields. Exp Mech 48(4):403\u2013419","journal-title":"Exp Mech"},{"issue":"24","key":"9879_CR22","doi-asserted-by":"crossref","first-page":"3829","DOI":"10.1016\/j.ijsolstr.2013.07.018","volume":"50","author":"J-H Kim","year":"2013","unstructured":"Kim J-H, Serpanti\u00e9 A, Barlat F, Pierron F, Lee M-G (2013) Characterization of the post-necking strain hardening behavior using the virtual fields method. Int J Solids Struct 50(24):3829\u20133842","journal-title":"Int J Solids Struct"},{"issue":"22","key":"9879_CR23","doi-asserted-by":"crossref","first-page":"2993","DOI":"10.1016\/j.ijsolstr.2010.06.022","volume":"47","author":"F Pierron","year":"2010","unstructured":"Pierron F, Avril S, The Tran V (2010) Extension of the virtual fields method to elasto-plastic material identification with cyclic loads and kinematic hardening. Int J Solids Struct 47(22):2993\u20133010","journal-title":"Int J Solids Struct"},{"issue":"1","key":"9879_CR24","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/s00466-011-0627-0","volume":"49","author":"M Rossi","year":"2012","unstructured":"Rossi M, Pierron F (2012) Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields. Comput Mech 49(1):53\u201371","journal-title":"Comput Mech"},{"key":"9879_CR25","unstructured":"WorldAutoSteel (2009) Advanced high strength steel (AHSS) application guidelines version 4.1. www.worldautosteel.org"},{"key":"9879_CR26","volume-title":"Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications","author":"MA Sutton","year":"2009","unstructured":"Sutton MA, Orteu J-J, Schreier H (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer Publishing Company, Incorporated"},{"issue":"15","key":"9879_CR27","doi-asserted-by":"crossref","first-page":"2978","DOI":"10.1016\/j.jbiomech.2010.07.004","volume":"43","author":"S Avril","year":"2010","unstructured":"Avril S, Badel P, Duprey A (2010) Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements. J Biomech 43(15):2978\u20132985","journal-title":"J Biomech"},{"issue":"6","key":"9879_CR28","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1007\/s10237-011-0356-5","volume":"11","author":"J-H Kim","year":"2012","unstructured":"Kim J-H, Avril S, Duprey A, Favre J-P (2012) Experimental characterization of rupture in human aortic aneurysms using a full-field measurement technique. Biomech Model Mechan 11(6):841\u2013853","journal-title":"Biomech Model Mechan"},{"key":"9879_CR29","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198568261.001.0001","volume-title":"Introduction to computational plasticity","author":"F Dunne","year":"2005","unstructured":"Dunne F, Petrinic N (2005) Introduction to computational plasticity. Oxford University Press, New York"},{"issue":"1","key":"9879_CR30","doi-asserted-by":"crossref","first-page":"015703","DOI":"10.1088\/0957-0233\/21\/1\/015703","volume":"21","author":"Avril S","year":"2010","unstructured":"Avril S, Feissel P, Pierron F, Villon P (2010) Comparison of two approaches for differentiating full-field data in solid mechanics. Meas Sci Technol 21(1):015703","journal-title":"Meas Sci Technol"},{"issue":"6","key":"9879_CR31","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1016\/0045-7949(91)90205-Z","volume":"39","author":"Z Feng","year":"1991","unstructured":"Feng Z, Rowlands RE (1991) Smoothing finite-element and experimental hybrid technique for stress analyzing composites. Comput Struct 39(6):631\u2013639","journal-title":"Comput Struct"},{"key":"9879_CR32","unstructured":"Lay DC (2003) Linear algebra and its applications, Addison Wesesley"},{"key":"9879_CR33","unstructured":"Bower AF (2011) Applied mechanics of solids, CRC press"},{"key":"9879_CR34","unstructured":"Chen W-F (1994) Constitutive equations for engineering materials, Vol. 2 - plasticity and modeling. Elsevier"},{"key":"9879_CR35","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-1824-5","volume-title":"The virtual fields method","author":"F Pierron","year":"2012","unstructured":"Pierron F, Gr\u00e9diac M (2012) The virtual fields method. Springer, New-York"},{"issue":"2","key":"9879_CR36","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF02328705","volume":"36","author":"MA Sutton","year":"1996","unstructured":"Sutton MA, Deng X, Liu J, Yang L (1996) Determination of elastic-plastic stresses and strains from measured surface strain data. Exp Mech 36(2):99\u2013112","journal-title":"Exp Mech"},{"issue":"1","key":"9879_CR37","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1137\/S1052623496303470","volume":"9","author":"JC Lagarias","year":"1998","unstructured":"Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder\u2013Mead simplex method in low dimensions. SIAM J Optimiz 9(1):112\u2013147","journal-title":"SIAM J Optimiz"},{"issue":"5-7","key":"9879_CR38","doi-asserted-by":"crossref","first-page":"857","DOI":"10.3166\/remn.17.857-868","volume":"17","author":"S Avril","year":"2008","unstructured":"Avril S, Feissel P, Pierron F, Villon P (2008) Estimation of the strain field from full-field displacement noisy data: comparing finite elements global least squares and polynomial diffuse approximation. Eur J Comput Mech 17(5-7):857\u2013868","journal-title":"Eur J Comput Mech"},{"key":"9879_CR39","doi-asserted-by":"crossref","unstructured":"Cleveland WS, Loader C (1996) Smoothing by local regression: Principles and methods. In: Statistical theory and computational aspects of smoothing, pages 10\u201349. Springer","DOI":"10.1007\/978-3-642-48425-4_2"},{"issue":"2","key":"9879_CR40","first-page":"133","volume":"313","author":"B Nayroles","year":"1991","unstructured":"Nayroles B, Touzot G, Villon P (1991) La m\u00e9thode des \u00e9l\u00e9ments diffus. Comptes rendus de l\u2019Acad\u00e9mie des sciences. S\u00e9rie 2, M\u00e9canique, Physique, Chimie, Sciences de l\u2019univers. Sciences de la Terre 313(2):133\u2013138","journal-title":"Comptes rendus de l\u2019Acad\u00e9mie des sciences. S\u00e9rie 2, M\u00e9canique, Physique, Chimie, Sciences de l\u2019univers. Sciences de la Terre"},{"issue":"5","key":"9879_CR41","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1007\/s11340-012-9679-0","volume":"53","author":"G Le Lou\u00ebdec","year":"2013","unstructured":"Le Lou\u00ebdec G, Pierron F, Sutton MA, Reynolds AP (2013) Identification of the local elasto-plastic behavior of FSW welds using the virtual fields method. Exp Mech 53(5):849\u2013859","journal-title":"Exp Mech"},{"issue":"3","key":"9879_CR42","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1016\/j.ijsolstr.2011.09.025","volume":"49","author":"M Rossi","year":"2012","unstructured":"Rossi M, Pierron F (2012) On the use of simulated experiments in designing tests for material characterization from full-field measurements. Int J Solids Struct 49(3):420\u2013435","journal-title":"Int J Solids Struct"}],"container-title":["Experimental Mechanics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11340-014-9879-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11340-014-9879-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11340-014-9879-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,26]],"date-time":"2024-05-26T08:41:42Z","timestamp":1716712902000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11340-014-9879-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5,2]]},"references-count":42,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2014,9]]}},"alternative-id":["9879"],"URL":"https:\/\/doi.org\/10.1007\/s11340-014-9879-x","relation":{},"ISSN":["0014-4851","1741-2765"],"issn-type":[{"value":"0014-4851","type":"print"},{"value":"1741-2765","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5,2]]}}}