Skip to main content

Constitutive Equations of Metals

  • Chapter
  • First Online:
Foundations of Elastoplasticity: Subloading Surface Model

Abstract

The plasticity theory has highly developed through the prediction of deformation of metals up to date.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Barlat F, Yoon JW, Cazacu O (2007) On linear transformations of stress tensors for the description of plastic anisotropy. Int J Plast 23:876–896

    Article  MATH  Google Scholar 

  • Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plast 5:247–302

    Article  MATH  Google Scholar 

  • Chaboche JL (1991) On some modifications of kinematic hardening to improve the description of ratcheting effects. Int J Plast 7:661–678

    Article  Google Scholar 

  • Chaboche JL (2008) A review of some plasticity and viscoplasticity constitutive theories. Int J Plast 24:1642–1693

    Article  MATH  Google Scholar 

  • Chaboche JL, Dang-Van K, Cordier G (1979) Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel, Transaction on 5th International Conference SMiRT, Berlin, Division L., Paper No. L. 11/3

    Google Scholar 

  • Delobelle P, Robinet P, Bocher L (1995) Experimental study and phenomenological modelization of ratchet under uniaxial and biaxial loading on austenitic stainless steel. Int J Plast 11:295–330

    Article  Google Scholar 

  • Ellyin F (1997) Fracture damage, crack growth and life prediction. Chapman & Hall, London

    Google Scholar 

  • Ellyin F, Xia Z (1989) A rate-independent constitutive model for transient non-proportional loading. J Mech Phys Solids 37:71–91

    Article  MATH  Google Scholar 

  • Ghaei A, Green DE (2010) Numerical implementation of Yoshida-Uemori two-surface plasticity model using a fully implicit integration scheme. Compt Mater Sci 48:195–205

    Article  Google Scholar 

  • Hashiguchi K (2015c) Cyclic stagnation of isotropic hardening in metals, In: Proceedings of 2nd Science Meeting of Kyushu Branch of Society Material Science, Japan, B18

    Google Scholar 

  • Hashiguchi K, Ueno M (2017) Elastoplastic constitutive equation of metals under cyclic loading. Int J Eng Sci 111:86–112

    Google Scholar 

  • Hashiguchi K, Ueno M, Ozaki T (2012) Elastoplastic model of metals with smooth elastic-plastic transition. Acta Mech 223:985–1013

    Google Scholar 

  • Hashiguchi K, Yamakawa Y (2012) Introduction to finite strain theory for continuum elasto-plasticity, Wiley series in computational mechanics. Wiley, Chichester

    Google Scholar 

  • Hassan T, Taleb T, Krishna S (2008) Influence of non-proportional loading on ratcheting responses and simulations by two recent cyclic plasticity models. Int J Plast 24:1863–1889

    Article  MATH  Google Scholar 

  • Higuchi R, Okamura K (2016) Prediction of residual stress change due to cyclic loading~validation of advantage of sub-loading surface model~

    Google Scholar 

  • Hill R (1948) Theory of yielding and plastic flow of anisotropic metals. Proc Royal Soc Lond A193:281–297

    Google Scholar 

  • Hill R (1990) Constitutive modeling of orthotropic plasticity in sheet metals. J Mech Phys Solids 38:241–249

    Article  Google Scholar 

  • Ilyushin AA (1963) Plasticity—foundation of the general mathematical theory, Izdatielistbo Akademii Nauk CCCR (Publisher of the Russian Academy of Sciences), Moscow

    Google Scholar 

  • Jiang Y, Zhang J (2008) Benchmark experiments and characteristic cyclic plasticity deformation. Int J Plast 24:1481–1515

    Article  MATH  Google Scholar 

  • Kobayashi M, Ohno N (2002) Implementation of cyclic plasticity models based on a general form of kinematic hardening. Int J Numer Meth Eng 53:2217–2238

    Article  MATH  Google Scholar 

  • Lee JY, Barlat F, Lee MG (2015) Constitutive and friction modeling for accurate springback analysis of advanced high strength steel sheets. Int J Pasticity 71:113–135

    Google Scholar 

  • Lemaitre JA (1992) A course on damage mechanics. Springer, Heidelberg

    Book  MATH  Google Scholar 

  • Murakami S (2012) Continuum damage mechanics: a continuum mechanics approach to the analysis of damage and fracture. Springer, Dordrecht

    Book  Google Scholar 

  • Ohno N (1982) A constitutive model of cyclic plasticity with a non-hardening strain region. J Appl Mech (ASME) 49:721–727

    Article  Google Scholar 

  • Sun L, Wagoner RH (2011) Complex unloading behavior: nature of the deformation and its consistent constitutive representation. Int J Pasticity 27:1126–1144

    Google Scholar 

  • Wagoner RH, Lim H, Lee MG (2013) Advanced issues in springback. Int J Pasticity 45:3–20

    Google Scholar 

  • Xia Z, Ellyin F (1994) Biaxial ratcheting under strain or stress-controlled axial cycling with constant hoop stress. J Appl Mech (ASME) 61:422–428

    Google Scholar 

  • Yoshida F, Uemori T (2002) A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation. Int J Plast 18:661–686

    Article  MATH  Google Scholar 

  • Yoshida F, Uemori T (2003) A model of large-strain cyclic plasticity and its application to springback simulation. Int J Mech Sci 45:1687–1702

    Article  MATH  Google Scholar 

  • Yoshida F, Hamasaki H, Uemori T (2015) Modeling of anisotropic hardening of sheet metals including description of the Bauschinger effect. Int J Plast 75:170–188

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Koichi Hashiguchi .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Hashiguchi, K. (2017). Constitutive Equations of Metals. In: Foundations of Elastoplasticity: Subloading Surface Model. Springer, Cham. https://doi.org/10.1007/978-3-319-48821-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-48821-9_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48819-6

  • Online ISBN: 978-3-319-48821-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics