Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T03:19:47.898Z Has data issue: false hasContentIssue false
  • English
  • Français

Analysis on fracture initiation and fracture angle in ductile sheet metal under uniaxial tension by experiments and finite element simulations

Published online by Cambridge University Press:  10 November 2016

Chong Li ,
Daxin E.  and
Ning Yi
Chong Li
Affiliation:
School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China
Daxin E.*
Affiliation:
School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China
Ning Yi
Affiliation:
School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China
*
a) Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

The instability and fracture process during uniaxial tension was observed from load-stop tensile tests and finite element simulation. The results indicate that at the end of instability, the direction of the maximum principle stress near the necking groove turns to being perpendicular to the groove. This tensile stress is critical to the growth of fracture. The fracture initiates from the internal of the sheet at the center of volume where the two local necking grooves intersect. Material here is under triaxial tensile stress state and the principle stresses in all three directions are the largest. Once the initial crack occurs, it propagates along the zero-strain-rate necking groove. Moreover, the final fracture angle between the fracture plane and the tensile axis is always larger than theoretical value. An important reason is the ignorance of the triaxial stress state evolution during instability in theoretical calculation.

Keywords

fracturesimulationstress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 31 , Issue 24 , 28 December 2016 , pp. 3991 - 3999
Check for updates
Copyright
Copyright © Materials Research Society 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Vegter, H., Mulder, H., Liempt, P.V., and Heijne, J.: Work hardening descriptions in simulation of sheet metal forming tailored to material type and processing. Int. J. Plast. 80, 204 (2016).CrossRefGoogle Scholar
Ghangrekar, P.S., Banjare, R., Rao, B.C., and Murthy, H.: Tensile testing of Al6061-T6 microspecimens with ultrafine grained structure derived from machining-based SPD process. J. Mater. Res. 29(11), 1278 (2014).CrossRefGoogle Scholar
Chung, K., Kim, H., and Lee, C.: Forming limit criterion for ductile anisotropic sheets as a material property and its deformation path insensitivity. Part I: Deformation path insensitive formula based on theoretical models. Int. J. Plast. 58, 3 (2014).CrossRefGoogle Scholar
Beygi, R. and Kazeminezhad, M.: Tearing energy of an annealed bilayer sheet through multiple and single tensile tests. Mater. Sci. Eng., A 528, 8800 (2011).CrossRefGoogle Scholar
Takuda, H., Matsusaka, H., Kikuchi, S., and Kubota, K.: Tensile properties of a few Mg–Li–Zn alloy thin sheets. J. Mater. Sci. 37, 51 (2001).CrossRefGoogle Scholar
Josell, D., Heerden, D.V., Read, D., and Shechtman, J.B.D.: Tensile testing low density multilayers: Aluminum/titanium. J. Mater. Res. 13(10), 2902 (1998).CrossRefGoogle Scholar
Tane, M., Okamoto, R., and Nakajima, H.: Tensile deformation of anisotropic porous copper with directional pores. J. Mater. Res. 25(25), 1975 (2010).CrossRefGoogle Scholar
Ramazani, A., Abbasi, M., Prahl, U., and Bleck, W.: Failure analysis of DP600 steel during the cross-die test. Comput. Mater. Sci. 64, 101 (2012).CrossRefGoogle Scholar
Considère, M.: Memoir on the use of iron and steel in structures. Ann. Ponts Chaussees 9, 574 (1885).Google Scholar
Swift, H.W.: Plastic instability under plane stress. J. Mech. Phys. Solids 1, 1 (1952).CrossRefGoogle Scholar
Hill, R.: On discontinuous plastic states, with special reference to localized necking in thin sheets. J. Mech. Phys. Solids 1, 19 (1952).CrossRefGoogle Scholar
Hill, R.: A new method for determining the yield criterion and plastic potential of ductile metals. J. Mech. Phys. Solids 1, 271 (1953).CrossRefGoogle Scholar
Hill, R.: Constitutive modelling of orthotropic plasticity in sheet metals. J. Mech. Phys. Solids 38, 405 (1990).CrossRefGoogle Scholar
Hill, R.: A theoretical perspective on in-plane forming of sheet metal. J. Mech. Phys. Solids 39, 295 (1991).CrossRefGoogle Scholar
Hill, R.: The mathematical theory of plasticity. The Oxford Engineering Science Series, 1st ed. (Oxford University Press, New York, 1950).Google Scholar
Hill, R.: On the mechanics of localized necking in anisotropic sheet metals. J. Mech. Phys. Solids 49, 2055 (2001).CrossRefGoogle Scholar
Karafillis, A.P., Ostrowski, M.C., Carter, W.T., and Graham, M.E.: Method and apparatus for designing a manufacturing process for sheet metal parts. US, US 6353768 B1, 2002.Google Scholar
Tvergaard, V.: Necking in tensile bars with rectangular cross-section. Comput. Method Appl. M 103, 273 (1993).CrossRefGoogle Scholar
Marciniak, Z. and Kuczyński, K.: Limit strains in the processes of stretch-forming sheet metal. Int. J. Mech. Sci. 9, 609 (1967).CrossRefGoogle Scholar
Ling, Y.: Uniaxial true stress-strain after necking. AMP J. Technol., 5, 37 (1996).Google Scholar
Abbassi, F., Nasri, M., Brault, R., Mistou, S., and Zghal, A.: An experimental and numerical study of necking initiation in biaxial tensile test. Presented at the Icem15: 15th International Conference on Experimental Mechanics, 2012.Google Scholar
Nasser, A., Yadav, A., Pathak, P., and Altan, T.: 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. J. Mater. Process. Technol. 210, 429 (2012).CrossRefGoogle Scholar
Mandal, G., Ghosh, S.K., and Mukherjee, S.: Phase transformation and mechanical behaviour of thermo-mechanically controlled processed high-strength multiphase steel. J. Mater. Sci. 51, 6569 (2016).CrossRefGoogle Scholar
Everhart, W., Sawyer, E., Neidt, T., Dinardo, J., and Brown, B.: The effect of surface finish on tensile behavior of additively manufactured tensile bars. J. Mater. Sci. 51, 3836 (2016).CrossRefGoogle Scholar
Komori, K.: Simulation of tensile test by node separation method. J. Mater. Process. Technol. 125, 608 (2002).CrossRefGoogle Scholar
Shahbeyk, S., Rahiminejad, D., and Petrinic, N.: Local solution of the stress and strain fields in the necking section of cylindrical bars under uniaxial tension. Eur. J. Mech. A-Solid 29, 230 (2010).CrossRefGoogle Scholar
Chen, J.S., D.X.E., , and Zhang, J.W.: Research on crack propagation in the crack process of 1Cr18Ni9Ti tube under uniaxial tension. Acta Armamentarii 34, 865 (2013).CrossRefGoogle Scholar
Cabezas, E. and Celentano, D.: Experimental and numerical analysis of the tensile test using sheet specimens. Finite Elem. Anal. Des. 40, 555 (2004).CrossRefGoogle Scholar
Joun, M., Choi, I., Eom, J., and Lee, M.: Finite element analysis of tensile testing with emphasis on necking. Comput. Mater. Sci. 41, 63 (2007).CrossRefGoogle Scholar
Nádai, A.: Theory of Flow and Fracture of Solids, 1st ed. (McGraw HiliBook Co. Inc., New York, 1950).Google Scholar
Brooks, C. and Choudhury, A.: Failure Analysis of Engineering Materials, 1st ed. (McGraw-Hill Education, New York, 2002).Google Scholar
ABAQUS: ABAQUS 6.11 Analysis User's Manual. Online Documentation Help: Dassault Systèmes (2011).Google Scholar