Identification of inelastic parameters of the AISI 304 stainless steel: a multi-test optimization strategy

References

• Samuel KG, Rodriguez P. On power-law type relationships and the Ludwigson explanation for the stress–strain behaviour of AISI 316 stainless steel. J Mater Sci. 2005;40:5727–5731. doi:10.1007/s10853-005-1078-9.
   Web of Science ®Google Scholar
• Samuel KG. Limitations of Hollomon and Ludwigson stress-strain relations in assessing the strain hardening parameters. J Phys D Appl Phys. 2006;39:203–212. doi:10.1088/0022-3727/39/1/030.
   Web of Science ®Google Scholar
• Hollomon JH. Tensile deformation. Trans AIME. 1945;162:268–290.
   Google Scholar
• Swift BH. Plastic instability under plane stress. J Mech Phys Solids. 1952;1:1–18. doi:10.1016/0022-5096(52)90002-1.
   Web of Science ®Google Scholar
• Ludwigson DC. Modified stress–strain relation for FCC metals and alloys. Metal Trans. 1971;2:2825–2828. doi:10.1007/BF02813258.
   Web of Science ®Google Scholar
• Kashyap BP, Tangri K. On the Hall–Petch relationship and substructural evolution in type 316L stainless steel. Acta Metall Mater. 1995;43:3971–39811. doi:10.1016/0956-7151(95)00110-H.
   Google Scholar
• Hertelé S, De Waele W, Denys R. A generic stress–strain model for metallic materials with two-stage strain hardening behaviour. Int J Non-linear Mech. 2011;46:519–531. doi:10.1016/j.ijnonlinmec.2010.12.004.
   Web of Science ®Google Scholar
• Ramberg W, Osgood WR. Description of stress–strain curves by three parameters. Washington: NACA; 1943. (Technical note; no. 902).
   Google Scholar
• El-Magd E. Modeling and simulation of mechanical behavior, In: Totten GE, Xie L, Funatani K, editors. Modeling and simulation of material selection and mechanical design. New York: Dekker; 2004. Chapter 4.
   Google Scholar
• Voce E. The relationship between stress and strain for homogeneous deformation. J Inst Metals. 1948;74:537–562.
   Google Scholar
• Harth T, Schwan S, Lehn J, et al. Identification of material parameters for constitutive models: statistical analysis and design of experiments. Int J Plasticity. 2004;20:1403–1440. doi:10.1016/j.ijplas.2003.11.001.
   Web of Science ®Google Scholar
• Haghdadi N, Martin D, Hodgson P. Physically-based constitutive modelling of hot deformation behavior in a LDX 2101 duplex stainless steel. Mater Design. 2016;106:420–427. doi:10.1016/j.matdes.2016.05.118.
   Web of Science ®Google Scholar
• Mahnken R. Theoretical numerical and identification aspects of a new model class for ductile damage. Int J Plasticity. 2002;18:801–831. doi:10.1016/S0749-6419(00)00105-4.
   Web of Science ®Google Scholar
• Wang M, Wu J. Identification of plastic properties of metal materials using spherical indentation experiment and Bayesian model updating approach. Int J Mech Sci. 2019;151:733–745. doi:10.1016/j.ijmecsci.2018.12.027.
   Web of Science ®Google Scholar
• Pacheco CC, Dulikravich GS, Vesenjak M, et al. Inverse parameter identification in solid mechanics using Bayesian statistics response surfaces and minimization. Tech Mech. 2016;36:120–131. doi:10.24352/ub.ovgu-2017-014.
   Google Scholar
• Vaz Jr. M, Muñoz-Rojas PA, Cardoso EL, et al. Considerations on parameter identification and material response for Gurson-type and Lemaitre-type constitutive models. Int J Mech Sci. 2016;106:254–265. doi:10.1016/j.ijmecsci.2015.12.014.
   Web of Science ®Google Scholar
• Carniel TA, Muñoz-Rojas PA, Vaz Jr M. A viscoelastic viscoplastic constitutive model including mechanical degradation: uniaxial transient finite element formulation at finite strains and application to space truss structures. Appl Math Modelling. 2015;39:1725–1739. doi:10.1016/j.apm.2014.09.036.
   Web of Science ®Google Scholar
• Jin YF, Yin ZY, Shen SL, et al. A new hybrid real-coded genetic algorithm and its application to parameters identification of soils. Inverse Probl Sci Eng. 2017;25:1343–1366. doi:10.1080/17415977.2016.1259315.
   Web of Science ®Google Scholar
• Yoshida F, Urabe M, Hino R, et al. Inverse approach to identification of material parameters of cyclic elasto-plasticity for component layers of a bimetallic sheet. Int J Plasticity. 2003;19:2149–2170. doi:10.1016/S0749-6419(03)00063-9.
   Web of Science ®Google Scholar
• Ponthot JP, Kleinermann JP. A cascade optimization methodology for automatic parameter identification and shape/process optimization in metal forming simulation. Comput Meth Appl Mech Eng. 2006;195:5472–5508. doi:10.1016/j.cma.2005.11.012.
   Web of Science ®Google Scholar
• Vaz Jr. M, Hulse ER, Tomiyama M. A note on parameter identification of the AISI 304 stainless steel using micromechanical-based phenomenological approaches. Mater Res. 2019;22:e20190222. doi:10.1590/1980-5373-MR-2019-0222.
   Web of Science ®Google Scholar
• Vaz Jr. M, Hulse ER, Tomiyama M. Identification of inelastic parameters of the AISI 304 stainless steel. In Öchsner A, Altenbach H, editors. Engineering design applications II. structures materials and processes. Chem: Springer Nature; 2020.
   Google Scholar
• Pierron F, Grédiac M. The virtual fields method: extracting constitutive mechanical parameters from full-field deformation measurements. New York: Springer; 2012.
   Google Scholar
• Martins JMP, Andrade-Campos A, Thuillier S. Comparison of inverse identification strategies for constitutive mechanical models using full-field measurements. Int J Mech Sci. 2018;145:330–345. doi: 10.1016/j.ijmecsci.2018.07.013
   Web of Science ®Google Scholar
• Nelder JA, Mead R. A simplex method for function minimization. Comput J. 1965;7:308–313. doi:10.1093/comjnl/8.1.27. doi: 10.1093/comjnl/7.4.308
   Web of Science ®Google Scholar
• Lagarias JC, Reeds JA, Wright MH, et al. Convergence properties of the Nelder–Mead simplex method in low dimensions. SIAM J Optim. 1998;9:112–147. doi:10.1137/S1052623496303470.
   Web of Science ®Google Scholar
• Vaz Jr. M, Cardoso EL, Muñoz-Rojas PA, et al. Identification of constitutive parameters – optimization strategies and applications. Mat-wiss U Werkstofftech. 2015;46:447–491. doi:10.1002/mawe.201500423.
   Web of Science ®Google Scholar
• Vaz Jr M, Cardoso EL, Stahlschmidt J. Particle swarm optimization and identification of inelastic material parameters. Eng Comput. 2013;30:936–960. doi:10.1108/EC-10-2011-0118.
   Google Scholar
• Vaz Jr. M, Luersen MA, Muñoz-Rojas PA, et al. Identification of inelastic parameters based on deep drawing forming operations using a global-local hybrid particle swarm approach. C R Mecanique. 2016;344:319–334. doi:10.1016/j.crme.2015.07.015.
   Web of Science ®Google Scholar
• ASTM E8 / E8M-09. Standard test methods for tension testing of metallic materials. West Conshohocken: ASTM International; 2009.
   Google Scholar
• ABNT NBR ISO 6892. Metallic materials – tensile testing at ambient temperature. Rio de Janeiro: ABNT; 2002.
   Google Scholar
• Subramonian S, Kardes N. Materials for sheet forming. In: Altan T, Tekkaya E, editors. Sheet metal forming: fundamentals. Materials Park: ASM; 2012. p. 73–88.
   Google Scholar
• De AK, Speer JG, Matlock DK, et al. Deformation-induced phase transformation and strain hardening in yype 304 austenitic stainless steel. Metall Mater Trans A. 2006;36A:1875–1886. doi:10.1007/s11661-006-0130-y.
   Google Scholar
• Mecking H, Kocks UF. Kinetics of flow and strain hardening. Acta Metall. 1981;29:1865–1875. doi:10.1016/0001-6160(81)90112-7.
   Google Scholar
• Panich S, Barlat F, Uthaisangsuk V, et al. Experimental and theoretical formability analysis using strain and stress based forming limit diagram for advanced high strength steels. Mater Design. 2013;51:756–766. doi:10.1016/j.matdes.2013.04.080.
   Web of Science ®Google Scholar
• Gruber M, Lebaal N, Roth S, et al. Parameter identification of hardening laws for bulk metal forming using experimental and numerical approach. Int J Mater Form. 2016;9:21–33. doi:10.1007/s12289-014-1196-5.
   Web of Science ®Google Scholar
• Lubliner J. Plasticity theory. Mineola: Dover Publications; 2008.
   Google Scholar
• de Souza Neto EA, Peric D, Owen DRJ. Computational methods for plasticity: theory and applications. Chichester: Wiley; 2008.
   Google Scholar