Skip to main content

Loss of Rigidity of Thin Anisotropic Plates and Sloping Casings in the Plastic Region

  • Chapter
Plastic Flow of Metals
  • 54 Accesses

Abstract

The fundamental equations of rigidity in small, elastic-plastic, anisotropic (orthotropic) plates and casings were derived under the assumption that active deformation occurs at all points. The anisotropic media theory used was a theory of the flow type.

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 74.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Mises, R., “Mechanik der plastischen Formänderung von Kristallen,” Z. angew. Math, und Mech., No. 8 (1928).

    Google Scholar 

  2. O1szak, W. and Urbanowski, W., “The plastic potential and the generalized distortion energy in the theory of nonhomogeneous anisotropic elastic-plastic bodies,” Arch. Mech. Stos, No. 8 (1956).

    Google Scholar 

  3. Ruzanov, F. I., “Stability of the deformation process of an orthotropic metal under planar stressed-stateconditions,” in: Plastic Casting Changes of Metals, Izv. Nauka (1967).

    Google Scholar 

  4. Hill, R., Mathematical Theory of Plasticity, Oxford (1950).

    Google Scholar 

  5. Grigolyuk, I., “Buckling of thin casings beyond the elasticity limits,” Izv. Akad. Nauk SSSR, OTN No. 10 (1957).

    Google Scholar 

  6. Rabotnov, Yu. N., “Local loss of rigidity of casings,” Dokl. Akad. Nauk SSSR, Vol. 2, No. 2 (1946).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Consultants Bureau, New York

About this chapter

Cite this chapter

Ruzanov, F.I. (1971). Loss of Rigidity of Thin Anisotropic Plates and Sloping Casings in the Plastic Region. In: Tomlenov, A.D. (eds) Plastic Flow of Metals. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0070-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-0070-1_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0072-5

  • Online ISBN: 978-1-4757-0070-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics