Skip to main content

The Model of the Elastic–Plastic Deformation of a Structural Member

  • Chapter
  • First Online:
Book cover Advances in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The model of the elastic–plastic deformation of a structural member containing the stress concentrator is proposed. The model enables visualization of the deformation process under irregular, cyclic loading and considering the instability of cyclic material properties. The model can be implemented in Mathcad. The model is designed for the analysis of the operational loading of structures and components in predicting their strength and resistance to low-cycle fatigue.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

  1. Kogaev VP, Makhutov NA, Gusenkov AP (1985) Calculations of strength and durability of machine parts: reference book. Mashinostroenie, Moscow, 224 p

    Google Scholar 

  2. Troshchenko VT (1971) Fatigue and inelasticity of metals. Naukova Dumka, Kiev, 268 p

    Google Scholar 

  3. Agrawal R, Uddanwadiker R, Padole P (2014) Low cycle fatigue life prediction. Int J Emer Eng Res Technol 2(4):5–15

    Google Scholar 

  4. Borrego LP, Abreu LM, Costa JM (2003) Analysis of low cycle fatigue in AlMgSi aluminium alloys. Anales de mecánica de la fractura. 20:179–184

    Google Scholar 

  5. Daunys M, Norkuvienė D (2007) Investigation of stress and strain state in concentration zones under low cycle loading. MECHANIKA N2(64):5–11

    Google Scholar 

  6. Klysz S (2005) Load sequence influence on low cycle fatigue life. Techn Sci 8:193–209

    Google Scholar 

  7. Bondar’ VS, Burchakov SV, Danshin VV (2010) Mathematical modeling of the processes of plasticity and materials destruction under non-stationary and non-symmetric cyclic loading. Izvestija Tulskogo gosudarstvennogo universiteta (Izvestija TulGU). Nat Sci (1):64–74

    Google Scholar 

  8. Moskvitin VV (1981) Cyclic loadings for elements of structures. Nauka, Moscow, 344 p

    Google Scholar 

  9. Fomichev PA, Zvyagintsev VV (2000) Forecasting the durability of bodies with cuts based on local stress strain states. Report 1. Defining stresses and deformation in a cut during elastic-plastic deformation. Durability Issues, vol 3, pp 37–45

    Google Scholar 

  10. Khazhinsky GM (2011) Models of metals deformation and destruction. Naychny Mir, Moscow, 321 p

    Google Scholar 

  11. Anand L, Parks DM (2002) Defect–free fatigue. Massachusetts Institute of Technology. Department of Mechanical Engineering. Cambridge, Massachusetts 02139. 2002 Mechanics and Materials II SPRING 2004. Supplementary notes

    Google Scholar 

  12. Kopel’man LA (1978) Resistance of welded assemblies to brittle fracture. Mashinostroenie (Leningrad Department), Leningrad, 232 p

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sergei A. Sokolov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Sokolov, S.A. (2017). The Model of the Elastic–Plastic Deformation of a Structural Member. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-53363-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-53363-6_13

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53362-9

  • Online ISBN: 978-3-319-53363-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics