Skip to main content

The Study of Limit Load and Plastic Collapse Load Under Combined Loads

  • Conference paper
  • First Online:
Computational and Experimental Simulations in Engineering (ICCES 2019)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 75))

Abstract

In the process of mechanical analysis for equipment and pipe of reactor coolant system (RCS), due to the severe load condition, the stress analysis cannot satisfy the evaluation criteria at times, the limit analysis and plastic analysis is necessary. This paper focus on the limit load and the plastic collapse load of the straight pipe and three-way pipe of reactor coolant system (such as the nozzle of main equipment and the pipe of main system) under combined loads, the analytical method and the finite element (FE) method are adopted in this paper. Get the limit load curve and the plastic collapse load curve of straight pipe and three-way pipe under combined loads, the effect of load history and structure size is analyzed. Tangent intersection criterion (TI) and Plastic work-tangent criterion (PWT) are adopted to study the plastic collapse load curve of straight pipe under combined load of pressure and bending moment. Get the theoretical equation of the limit load and plastic collapse curve of straight pipe under combined loads; get the theoretical equation of the limit load surface of straight pipe under combined load of pressure, bending moment and torque. The effect of many factors is analyzed on three-way pipe.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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

Abbreviations

\( P_{L} \) :

Limit load for pure pressure

\( M_{L} \) :

Limit load for pure bending

\( T_{L} \) :

Limit load for pure torsion

\( P_{P} \) :

Plastic collapse load for pure pressure

\( M_{P} \) :

Plastic collapse load for pure bending

\( W^{p} \) :

Plastic work

\( \sigma_{y} \) :

Yield strength

\( \sigma_{e} \) :

Von Mises equivalent stress

\( \varepsilon_{p} \) :

Plastic strain

\( E \) :

Elastic modulus

\( \nu \) :

Poisson ratio

\( r_{m} \) :

Mean pipe radius

\( V \) :

Single element volume of FE model

\( n \) :

Total element number of FE model

\( t \) :

Thickness of pipe

\( Z \) :

Plastic section modulus for bending

\( D \) :

Outside diameter of pipe

\( d \) :

Inside diameter of pipe

\( l \) :

Length of pipe

\( \lambda \) :

Radius-thickness ratio

References

  1. ASME: ASME Boiler and Pressure Vessel Code. New York: The American Society of Mechanical Engineers (2004)

    Google Scholar 

  2. Save, M.: Experimental verification of plastic limit analysis of torispherical and toriconical heads. Press. Vessel. Pip. Des. Anal. ASME, New York 1, 382–416 (1972)

    Google Scholar 

  3. Gerdeen, J.C.: A critical evaluation of plastic behaviour data and a united definition of plastic loads for pressure components, p. 254. Weld. Res. Counc. Bull, No (1979)

    Google Scholar 

  4. Muscat, M., Mackenzie, D., Hamilton, R.: A work criterion for plastic collapse. Int. J. Press. Vessel. Pip. 80, 49–58 (2003)

    Article  Google Scholar 

  5. Zhang, Y.: a criterion for evaluating plastic collapse load: plastic work-tangent criterion. In: International Conference Nuclear Engineering Proeedingsc ICONE, vol. 1, No. ICONE25-66116 (2017)

    Google Scholar 

  6. ANSYS 17.2.: User’s Manual for Revision 17.2 (2016)

    Google Scholar 

  7. Oh, C.S., Kim, Y.J.: Closed-form plastic collapse load of pipe bends under combined pressure and in-plane bending (2006). PVP2006-ICPVT-11-93770

    Google Scholar 

  8. Yen, L., Al-Shawaf, T., Kim, D.J.: Effect of shear and torsion on the plastic collapse load of a pipe section with circumferential flaw (2010). PVP2010-25762

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ying Zhang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhang, Y., Zheng, B., Zhang, L., Liu, Z., Du, J. (2020). The Study of Limit Load and Plastic Collapse Load Under Combined Loads. In: Okada, H., Atluri, S. (eds) Computational and Experimental Simulations in Engineering. ICCES 2019. Mechanisms and Machine Science, vol 75. Springer, Cham. https://doi.org/10.1007/978-3-030-27053-7_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-27053-7_32

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27052-0

  • Online ISBN: 978-3-030-27053-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics