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Finite element analysis of elastoplastic modeling: application to one-dimensional loading of as-received and pre-strained materials

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Abstract

A constitutive modeling is proposed to describe the elastoplastic behavior of materials. The model response for uniaxial loading of as-received and pre-strained materials is investigated. The most important characteristic of the model for as-received material is the consideration of a von Mises yield criterion that is valid from onset of loading. The same concept as the one for as-received material is followed to deal with the elastoplastic behavior of pre-strained material. However, a proportionality concept is also introduced in this case to calculate the plastic deformation. After the implementation of the model in ABAQUS procedure by creation of an appropriate user material subroutine, the results of finite element analysis are studied and validated by some experimental results obtained from uniaxial test.

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References

  1. Li D.F., O’Dowda N.P., Davies C.M., Nikbin K.M.: A review of the effect of prior inelastic deformation on high temperature mechanical response of engineering alloys. Int. J. Press. Vessel. Pip. 87, 531–542 (2010)

    Article  Google Scholar 

  2. Le Q., Kang H.T., Kridli G., Khosrovaneh A.K., Yan B.: Effect of prestrain paths on mechanical behavior of dual phase sheet steel. Int. J. Fatigue 31, 607–615 (2009)

    Article  Google Scholar 

  3. Sivaprasad S., Tarafder S., Ranganath V.R., Ray K.K.: Effect of prestrain on fracture toughness of HSLA steels. Mater. Sci. Eng. A284, 195–201 (2000)

    Google Scholar 

  4. Moverare J.J., Oden M.: Deformation behaviour of a prestrained duplex stainless steel. Mater. Sci. Eng. A337, 25–38 (2002)

    Google Scholar 

  5. Abdel-Karim M.: Effect of elastic modulus variation during plastic deformation on uniaxial and multiaxial ratchetting simulations. Eur. J. Mech. A/Solids 30, 11–21 (2011)

    Article  Google Scholar 

  6. Mukhopadhyay G., Bhattacharya S., Ray K.K.: Effect of pre-strain on the strength of spot-welds. Mater. Des. 30, 2345–2354 (2009)

    Article  Google Scholar 

  7. Lemaitre J., Chaboche J.L.: Mécanique des Matériaux Solides. Dunod, Paris (1996)

    Google Scholar 

  8. Zhang F., Sun P., Li X., Zhang G.: An experimental study on deformation behavior below 0.2% offset yield stress in some SiCp/Al composites and their unreinforced matrix alloys. Mater. Sci. Eng. A300, 12–21 (2001)

    Google Scholar 

  9. Makrov P.V., Romanova V.A., Balokhonov R.R.: Plastic deformation behavior of mild steel subjected to ultrasonic treatment. Theor. Appl. Fract. Mech. 28, 141–146 (1997)

    Article  Google Scholar 

  10. Dudarev E.F., Kashin O.A., Kolobov Y.R., Pochivalova G.P., Ivanova K.V., Valiev R.Z.: Microplastic deformation of polycrystalline and submicrocrystalline titanium during static and cyclic loading. Russ. Phys. J. 41, 1188–1192 (1998)

    Article  Google Scholar 

  11. Aryanpour G.: Constitutive modeling for hot isostatic pressing of metal powders. J. Porous Media 9, 15–34 (2006)

    Article  Google Scholar 

  12. Khan A.S., Huang S.: Continum Theory of Plasticity. Wiley, USA (1995)

    Google Scholar 

  13. Aryanpour G., Farzaneh M.: Analysis of axial strain in one-dimensional loading by different models. Acta Mech. Sin. 26, 745–753 (2010)

    Article  MathSciNet  Google Scholar 

  14. Xia Z., Ellyin F., Meijer G.: Mechanical behavior of Al2O3-particle-reinforced 6061 Aluminum alloy under uniaxial and multiaxial cyclic loading. Compos. Sci. Tech. 57, 237–248 (1997)

    Article  Google Scholar 

  15. Hayhurst D.R., Vakili-Tahami F., Zhou J.Q.: Constitutive equations for time independent plasticity and creep of 316 stainless steel at 550°C. Int. J. Press. Vessel. Pip. 80, 97–109 (2003)

    Article  Google Scholar 

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Aryanpour, G., Farzaneh, M. & Mrad, H. Finite element analysis of elastoplastic modeling: application to one-dimensional loading of as-received and pre-strained materials. Acta Mech 223, 911–922 (2012). https://doi.org/10.1007/s00707-011-0606-8

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  • DOI: https://doi.org/10.1007/s00707-011-0606-8

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