Comparison among Different Constitutive Equations on Investigating Tensile Plastic Behavior and Microstructure in Austempered Ductile Iron
DOI:
https://doi.org/10.7494/jcme.2018.2.1.14Abstract
The capabilities of different constitutive equations of approximating the tensile flow curves and correlating plastic behavior with the microstructure were investigated in austempered ductile iron ADI 1050. In a previous paper, the microstructure evolution of ADI 1050 during austempering was investigated through quenching the ADI 1050 after 14 increasing austempering times to room temperature. The 14 samples were tensile tested and two classes of constitutive equations were examined in the present paper. The Hollomon-type constitutive equations approximated all of the tensile flow curves of ADI 1050 very well but failed in correlating the plastic behavior with microstructure evolution. Voce-type constitutive equations approximated the tensile flow curves only at high stresses very well but could correlate the plastic behavior with the microstructure evolution of ADI 1050 during austempering excellently. The reason of this success was rationalized in terms of the physical basis of Voce-type equations, while Hollomon-type equations are empirical.
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References
ISO 1083:2004(E), Spheroidal graphite cast irons – Classification.
ISO 17804:2005(E), Founding – Ausferritic spheroidal graphite cast irons – Classification.
Kim Y.J., Shin H., Park H. & Lim J. (2008). Investigation into mechanical properties of austempered ductile cast iron (ADI) in accordance with austempering temperature. Materials Letters, 62, 357–360.
Hernández-Rivera J.L., Campos Cambranis R.E. & De la Garza A. (2011). Study of microstructural evolution and mechanical properties exhibited by non alloyed ductile iron during conventional and stepped austempering heat treatment. Materials & Design, 32, 4756–4762.
Basso A., Sikora J. & Martinez R. (2013). Analysis of mechanical properties and its associated fracture surfaces in dual-phase austempered ductile iron. Fatigue & Fracture of Engineering Materials and Structures, 36, 650–659.
Blackmore P.A. & Harding R.A. (1984). The effects of metallurgical process variables on the properties of austempered ductile irons. Journal of Heat Treating, 3/4, 310–325.
Fernandino D.O., Massone J.M. & Boeri R.E. (2013). Characterization of the austemperability of partially austenitized ductile iron. Journal of Materials Processing Technology, 213, 1801–1809.
Yang J. & Putatunda S.K. (2004). Influence of a novel two-step austempering process on the strain-hardening behavior of austempered ductile cast iron (ADI). Materials Science & Engineering A, 382, 265–279.
Basso A., Martínez R. & Sikora J. (2011). Influence of chemical composition and holding time on austenite (γ) Ferrite (α) transformation in ductile iron occurring within the intercritical interval. Journal of Alloys and Compounds, 509, 9884–9889.
Olofsson J., Larsson D. & Svensson I.L. (2011). Effect of Austempering on Plastic Behavior of Some Austempered Ductile Iron Alloys. Metallurgical and Materials Transactions A, 42, 3999–4007.
Meena A. & El Mansori M. (2012). Material Characterization of Austempered Ductile Iron (ADI) Produced by a Sustainable Continuous Casting-Heat Treatment Process. Metallurgical and Materials Transactions A, 43, 4755–4766.
Smallman R.E., Harris I.R. & Duggan M.A. (1997). Microstructure and materials processing. Journal of Materials Processing Technology, 63, 18–29.
Fredriksson H., Stjerndahl J. & Tinoco J. (2005). On the solidification of nodular cast iron and its relation to the expansion and contraction. Materials Science & Engineering A, 413, 363–372.
Angella G., Donnini R., Bonollo F., Fabrizi A. & Zanardi F. (2017). Assessment of austempering process evolution through tensile testing. La Metallurgia Italiana, 6, 11–17.
Donnini R., Fabrizi A., Bonollo F., Zanardi F. & Angella G. (2017). Assessment of the microstructure evolution of an austempered ductile iron during austempering process through strain hardening analysis. Metals and Materials International, 23, 855–864.
Hollomon J.H. (1945). Tensile Deformation. Transactions of the Metallurgical Society of AIME, 162, 268–290.
Swift H.W. (1952). Plastic Instability under Plane Stress. Journal of the Mechanics and Physics of Solids, 1, 1–18.
Ludwik P. (1909). Elemente der Technologischen Mechanik. Leipzig: Verlag Von Julius, Springer.
Ludwigson D.C. (1971). Modified stress-strain relation for FCC metals and alloys. Metallurgical Transactions, 2, 2825–2828.
Voce E. (1948). The relationship between stress and strain in homogenous deformation. Journal of the Institute of Metals, 74, 537–562.
Sah J.P., Richardson G.J. & Sellars C.M. (1969). Recrystallisation during hot deformation of Ni. Journal of Australian Institute of Metals, 14, 292–297.
Kocks U.F. (1976). Laws for work-hardening and low-temperature creep. Journal of Engineering Materials and Technology, 98, 76–85.
Kocks U.F. & Mecking H. (1981). Kinetics of flow and strain-hardening. Acta Metallica, 29, 1865–1875.
Kocks U.F. & Mecking H. (2003). Physics and phenomenology of strain hardening: the FCC case. Progress in Materials Science, 48, 171–273.
Estrin Y. & Mecking H. (1984). A unified phenomenological description of the work hardening and creep based on one-parameter models. Acta Metallica, 32, 57–70.
Estrin Y. (1996). Dislocation density related constitutive modelling. In: A.S. Krausz and K. Krausz (Eds.): Unified constitutive laws of plastic deformation. Elsevier, 69–106.
Estrin Y. (1998). Dislocation theory based constitutive modelling: foundations and applications. Journal of Materials Processing Technology, 80–81, 33–39.
Selin M. (2010). Comparing Three Equations Used for Modeling the Tensile Flow Behavior of Compacted Graphite Cast Irons at Elevated Temperatures. Metallurgical and Materials Transactions A, 41, 2805–2815.
Svensson I.L. & Salomonsson K. (2017). 11th International Symposium on Science and Processing of Cast Iron – SPCI-XI, 4-7 September 2017, Jönköping, Sweden. Proceedings in press.
Angella G., Donnini R., Maldini M. & Ripamonti D. (2014). Combination between Voce formalism and improved Kocks-Mecking approach to model small strains of flow curves at high temperatures. Materials Science & Engineering A, 594, 381–388.
Dong M.J., Prioul C. & Francois D. (1997). Damage effect on the fracture toughness of nodular cast iron: part I. Damage characterization and plastic flow stress modelling. Metallurgical and Materials Transactions A, 28, 2245–2254.
Guillemer-Neel C., Feaugas X. & Clavel M. (2000). Mechanical behavior and damage kinetics in nodular cast iron: part I. Damage mechanisms. Metallurgical and Materials Transactions A, 31, 3063–3074.
Guillemer-Neel C., Feaugas X. & Clavel M. (2000). Mechanical Behavior and Damage Kinetics in Nodular Cast Iron: Part II. Hardening and damage. Metallurgical and Materials Transactions A, 31, 3075–3086.
Reed-Hill R.E., Crebb W.R. & Monteiro S.N. (1973). Concerning the analysis of tensile stress-strain data using Log(dσ/dεp) versus Log(σ) diagram. Metallurgical and Materials Transactions A, 4, 2665–2667.
Choudhary B.K., Samuel E.I., Rao K.B.S. & Mannan S.L. (2001). Tensile stress-strain and work hardening behaviour of 316LN austenitic stainless steel. Materials Science and Technology, 17, 223–231.
Samuel K.G. & Rodriguez P. (2005). On power-law type relationships and the Ludwigson explanation for the stress-strain behaviour of AISI 316 stainless steel. Journal of Materials Science, 40, 5727–5731.
Angella G., Zanardi F. & Donnini R. (2016). On the significance to use dislocation-density-related constitutive equations to correlate strain hardening with microstructure of metallic alloys: the case of conventional and austempered ductile irons. Journal of Alloys and Compounds, 669, 262–271.
Hull D. & Bacon D.J. (2002). Introduction to dislocations, Publisher Butterworth-Heinemann.
