Skip to main content
SpringerLink
Log in

Stress–Strain Behaviors in Large Plastic Strain Ranges under Cyclic Loading

  • Chapter
  • First Online:
Ultra-low-Cycle Fatigue Failure of Metal Structures under Strong Earthquakes

Part of the book series: Springer Tracts in Civil Engineering ((SPRTRCIENG))

  • 646 Accesses

Abstract

Before studying on ultra-low-cycle fatigue problems, one has to first understand cyclic plasticity of metal. For ductile fracture under ultra-low-cycle fatigue loading, the corresponding plastic strain level is much larger than conventional engineering problems, where extremely large plastic strain is of concern. In this chapter, a number of classical rate-independent cyclic plasticity models for metal are investigated. Formations and limitations of the plasticity models are introduced. A modified Yoshida–Uemori model is proposed to solve the aforementioned limitations. In addition, a method to calibrate the plasticity model parameters is also proposed, where only tension coupon test results are required. Experimental tests on several specimens are conducted, and applicability of the models is compared. Applicability of the aforementioned models to pre-strained structural steel is also investigated.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • ABAQUS (2010) ABAQUS standard manual (Version 6.10). Karlsson & Sorensen Inc, Hibbitt. Pawtucket (RI, USA)

    Google Scholar 

  • Bridgman PW (1952) Studies in large plastic flow and fracture. McGraw-Hill, New York

    MATH  Google Scholar 

  • Chaboche J-L, DANG V (1979) Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel. ONERA, TP no 1979-109

    Google Scholar 

  • Chaboche JL (1986) Time-independent constitutive theories for cyclic plasticity. Int J Plast 2:149

    Article  Google Scholar 

  • Cottrell AH (1953) Dislocations and plastic flow in crystals. Oxford University Press, London

    MATH  Google Scholar 

  • Dafalias YF, Popov EP (1975) A model of nonlinearly hardening materials for complex loading. Acta Mech 21:173–192

    Article  Google Scholar 

  • Dafalias YF, Popov EP (1976) Plastic internal variables formalism of cyclic plasticity. J Appl Mech 43:645–651

    Article  Google Scholar 

  • Frederick CO, Armstrong PJ (2007) A mathematical representation of the multiaxial Bauschinger effect. Mater High Temp 24:1–26

    Article  Google Scholar 

  • Iwan WD (1967) On a class of models for the yielding behavior of continuous and composite systems. J Appl Mech 34:612–617

    Article  Google Scholar 

  • Jia L-J, Kuwamura H (2014a) Prediction of cyclic behaviors of mild steel at large plastic strain using coupon test results. J Struct Eng (ASCE) 2(140):04013056

    Article  Google Scholar 

  • Jia L-J, Kuwamura H (2014b) Ductile fracture simulation of structural steels under monotonic tension. J Struct Eng (ASCE) 5(140):04013115

    Article  Google Scholar 

  • Jia L-J et al (2013) Prediction of cyclic large plasticity for prestrained structural steel using only tensile coupon tests. Front Struct Civ Eng 4(7):466–476

    Article  Google Scholar 

  • JIS G3101 (2015) Rolled steels for general structure. Japanese Industrial Standards Committee, Tokyo

    Google Scholar 

  • Krieg RD (1975) A practical two surface plasticity theory. J Appl Mech 42:641–646

    Article  Google Scholar 

  • Kuhlmann-Wilsdorf D, Laird C (1979) Dislocation behavior in fatigue II. Friction stress and back stress as inferred from an analysis of hysteresis loops. Mater Sci Eng 37:111–120

    Article  Google Scholar 

  • Mahan M et al (2011) SANISTEEL: simple anisotropic steel plasticity model. J Struct Eng (ASCE) 137:185–194

    Article  Google Scholar 

  • Mamaghani IHP et al (1995) Cyclic behavior of structural steels. I: Experiments. J Eng Mech (ASCE) 11(121):1158–1164

    Article  Google Scholar 

  • Mróz Z (1967) On the description of anisotropic workhardening. J Mech Phys Solids 15:163–175

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Ohno N, Kachi Y (1986) A constitutive model of cyclic plasticity for nonlinear hardening materials. J Appl Mech 53:395–403

    Article  Google Scholar 

  • Prager W (1949) Recent developments in the mathematical theory of plasticity. J Appl Phys 20:235–241

    Article  MathSciNet  Google Scholar 

  • Shi MF et al (2008) Determination of nonlinear isotropic/kinematic hardening constitutive parameters for AHSS using tension and compression tests. Numisheet 2008Interlaken, Switzerland, 137–142

    Google Scholar 

  • Shen C et al (1995) Cyclic behavior of structural steels. II: Theory. J Eng Mech (ASCE) 11(121):1165–1172

    Article  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  Google Scholar 

  • Zaverl F Jr, Lee D (1978) Constitutive relations for nuclear reactor core materials. J Nucl Mater 75:14–19

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tongji University, Shanghai, China

    Liang-Jiu Jia

  2. Meijo University, Nagoya, Japan

    Hanbin Ge

Authors
  1. Liang-Jiu Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hanbin Ge
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Liang-Jiu Jia .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Jia, LJ., Ge, H. (2019). Stress–Strain Behaviors in Large Plastic Strain Ranges under Cyclic Loading. In: Ultra-low-Cycle Fatigue Failure of Metal Structures under Strong Earthquakes. Springer Tracts in Civil Engineering . Springer, Singapore. https://doi.org/10.1007/978-981-13-2661-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-2661-5_3

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2660-8

  • Online ISBN: 978-981-13-2661-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation