Skip to main content
SpringerLink
Log in

Complete solutions for rotating plane rigid indenters

  • Published:
Meccanica Aims and scope Submit manuscript

Sommario

Si presentano classi complete di soluzioni per penetratori rigidi scabri rotanti, secondo la teoria del collasso in deformazioni piane. Si danno esempi di non unicità di trazione superficiale associata con tali penetratori.

Summary

Complete solution classes are presented of rotating rough rigid indenters in plane strain collapse theory. Examples are given of nonuniqueness of surface tractions associated with such rough indenters.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Collins I. F.,An optimum loading criterion for rigid/plastic materials, J. Mech. Physics of Solids, 16, 1968.

  2. Hill R.,The plastic yielding of notched bars under tension, Q. J. Mech. Appl. Math., 2, 1949.

  3. Prandtl L.,Ueber die Haerte plasticher Koerper, Goettinger Nachr., math.-phys. Kl.,1920, 1920.

  4. Bishop J. F. W.,On the complete solution to problems of deformation of a plastic-rigid material, J. Mech. Phys. Solids, 2, 1953.

  5. Shield R. T.,Plastic potential theory and Prandtl bearing capacity solutions, J. Appl. Mech., 21, 1954.

  6. Drucker D. C., Prager W., Greenberg H. J.,Extended limit design theorems for continuous media, Q. Appl. Math., 9, 1951.

  7. Shoemaker E. M., Chen W. P.,On uniqueness of the limit load for unbounded regions, Arch. Mech. Stos., 21, 1969.

  8. Hill R.,On the state of stress in a plastic-rigid body at the yield point, Phil. Mag., Ser. 7, 42, 1951.

    Google Scholar 

  9. Drucker D.C.,Plasticity, Proc. First Symposium on Naval Struct. Mech. (edited by J. N. Goodier, N. J. Hoff), Pergammon Press, London, 1960.

    Google Scholar 

  10. Prager W., Hodge P. G. Jr.,Theory of Perfectly Plastic Solids, Wiley, New York, 1951.

    Google Scholar 

  11. Rychlewski J.,On a certain class of incipient plastic flow problems for the semi-space, Arch. Mech. Stos., 19, 1967.

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, Simon Fraser University, Burnaby, Canada

    E. M. Shoemaker

Authors
  1. E. M. Shoemaker
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shoemaker, E.M. Complete solutions for rotating plane rigid indenters. Meccanica 13, 67–70 (1978). https://doi.org/10.1007/BF02128533

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02128533

Keywords

Search

Navigation