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The Evolution of Effective Elastic Properties of a Cold Formed Stainless Steel Sheet

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Abstract

In accordance with the great importance given to the subject of stiffness degradation, in particular with regard to metal forming, this work experimentally investigates the anisotropic elastic properties of plastically prestrained cold-rolled sheet metal (stainless steel EN 1.4301, also AISI 304). From the experiments performed, two main conclusions regarding stiffness degradation can be extracted. First, since under specific stretching the intensity of the normalized Young’s moduli degradation in both directions remains approximately similar, it may be concluded that the potential initial elastic anisotropy tends to be preserved during loading. Second, as the evidenced stiffness degradation has proved to be strongly correlated with the stretching direction of the sheet metal, it can be concluded that the stiffness evolution in the cold rolled sheet steel is path dependent. These interesting discoveries also provide some answers for modelling the kinetic damage evolution laws in damage mechanics.

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References

  1. Morestin F, Boivin M (1996) On the necessity of taking into account the variation in the Young modulus with plastic strain in elastic-plastic software. Nucl Eng Des 162:107–116

    Article  Google Scholar 

  2. Halilovic M, Vrh M, Stok B (2009) Prediction of elastic recovery of a formed steel sheet considering stiffness degradation. Meccanica 44/3:321–338

    Article  Google Scholar 

  3. Vrh M, Halilovic M, Stok B (2008) Impact of Young’s modulus degradation on springback calculation in steel sheet drawing. Strojniski vestnik–J Mech Eng 54:288–296

    Google Scholar 

  4. Hammi Y, Horstemeyer MF (2007) A physically motivated anisotropic tensorial representation of damage with separate functions for void nucleation, growth, and coalescence. Int J Plast 23:1641–1678

    Article  MATH  Google Scholar 

  5. Omerspahic E, Mattiasson K (2007) Oriented damage in ductile sheets: constitutive modeling and numerical integration. Int J Damage Mech 16:35–56

    Article  Google Scholar 

  6. Luo L, Ghosh AK (2003) Elastic and inelastic recovery after plastic deformation of DQSK steel sheet. J Eng Mater Technol 125:237–246

    Article  Google Scholar 

  7. Yu HY (2009) Variation of elastic modulus during plastic deformation and its influence on springback. Mater Des 30:846–850

    Article  Google Scholar 

  8. Lemaitre J, Desmorat R, Sauzay M (2000) Anisotropic damage law of evolution. Eur J Mech A, Solids 19:187–208

    Article  MATH  Google Scholar 

  9. Bruno L, Poggialini A (2005) Elastic characterization of anisotropic materials by speckle interferometry. Exp Mech 45:205–212

    Article  Google Scholar 

  10. Ma D, Ong CW, Zhang T (2009) An instrumented indentation method for Young’s modulus measurement with accuracy estimation. Exp Mech 49/5:719–729

    Article  Google Scholar 

  11. Feng C, Kang BS (2008) Young’s modulus measurement using a simplified transparent indenter measurement technique. Exp Mech 48:9–15

    Article  Google Scholar 

  12. ABAQUS Version 6.8 (2008) User’s manual. Simulia, Providence

    Google Scholar 

  13. Cleveland RM, Ghosh AK (2002) Inelastic effects on springback in metals. Int J Plast 18:769–785

    Article  MATH  Google Scholar 

  14. Hart EW (1984) A micromechanical basis for constitutive equations with internal state variables. J Eng Mater Technol 106:322–325

    Article  Google Scholar 

  15. Ghosh AK (1980) A physically-based constitutive model for metal deformation. Acta Metall 28:1443–1465

    Article  Google Scholar 

  16. Yang M, Akiyama Y, Sasaki T (2004) Evaluation of change in material properties due to plastic deformation. J Mater Process Technol 151:232–236

    Article  Google Scholar 

  17. Augereau F, Roque V, Robert L, Despaux G (1999) Non-destructive testing by acoustic signature of damage level in 304L steel samples submitted to rolling, tensile test and thermal annealing treatments. Mater Sci Eng A 266:285–294

    Article  Google Scholar 

  18. Yeh H-Y, Cheng J-H (2003) NDE of metal damage: ultrasonics with a damage mechanics model. Int J Solids Struct 40:7285–7298

    Article  Google Scholar 

  19. Fei D, Hodgson P (2006) Experimental and numerical studies of springback in air v-bending process for cold rolled TRIP steels. Nucl Eng Des 236:1847–1851

    Article  Google Scholar 

  20. Kachanov LM (1958) On creep rupture time. Otdelenie Technicheskih Nauk, Izvestiya Akademii Nauk 8:26–31

    Google Scholar 

  21. Lemaitre J (1996) A course on damage mechanics. Springer-Verlag, New York

    Book  MATH  Google Scholar 

  22. Cordebois J-P, Sidoroff F (1982) Damage induced elastic anisotropy. In: Boehler J-P (ed) Proceedings of the euromech colloquimum 115, mechanical behaviour of anisotropic solids. Colloques Internationaux du Centre National de la Recherche Scientifique, Netherlands, 295, pp 761–774

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Acknowledgement

The authors would like to express their gratitude to Kovinoplastika Lož d.d. and to Professor L. Kosec from the Institute of Metals and Technology, Ljubljana, who enabled the experimental research presented in the paper.

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Correspondence to B. Štok.

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Vrh, M., Halilovič, M. & Štok, B. The Evolution of Effective Elastic Properties of a Cold Formed Stainless Steel Sheet. Exp Mech 51, 677–695 (2011). https://doi.org/10.1007/s11340-010-9371-1

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  • DOI: https://doi.org/10.1007/s11340-010-9371-1

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