0
Technical Brief

Plastic Zone Size at Sharp Indentation of Classical Elastic–Plastic Materials: Behavior at Ideally Plastic Hardening

[+] Author and Article Information
Per-Lennart Larsson

Department of Solid Mechanics,
Royal Institute of Technology,
Stockholm SE-10044, Sweden
e-mail: pelle@hallf.kth.se

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received June 8, 2015; final manuscript received September 17, 2015; published online October 12, 2015. Assoc. Editor: Peter W. Chung.

J. Eng. Mater. Technol 138(1), 014502 (Oct 12, 2015) (3 pages) Paper No: MATS-15-1131; doi: 10.1115/1.4031736 History: Received June 08, 2015; Revised September 17, 2015

Sharp indentation problems are examined based on finite element methods (FEMs) and self-similarity considerations. The analysis concerns classical elastic–plastic materials with low, or no, strain-hardening and especially the details of the behavior of the size of the plastic zone are at issue. The results are correlated using a single parameter, comprising both geometrical and mechanical properties, and compared with previously presented semi-analytical findings. The numerical analysis is restricted to cone indentation of elastic-ideally plastic materials.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Schematics of the cone indentation test, top and side views, with Cartesian coordinates Xi. The indentation depth h is shown.

Grahic Jump Location
Fig. 2

Definition of the two plastic zone radius parameters (ra and rh)

Grahic Jump Location
Fig. 4

Cone indentation of elastic-ideally plastic materials. Nondimensionalized plastic zone radius parameters, r¯a = ra/a, r¯h = rh/a, and r¯p = rp/a, as function of the parameter Λ in Eq. (1). (—) r¯a determined from Eq. (9). (- - - -) r¯h determined from Eq.(9). (o) r¯p as defined by Johnson [1,2] and determined from Eq. (11) with ν = 0.3.

Grahic Jump Location
Fig. 3

Cone indentation of elastic-ideally plastic materials. Nondimensionalized plastic zone radius parameters, r¯a = ra/a and r¯h = rh/a, as function of the parameter Λ in Eq. (1). (o) r¯a derived from finite element simulations. (•) r¯h derived from finite element simulations. (—) r¯a determined from Eqs. (9) and (10). (- - - -) r¯h determined from Eqs. (9) and (10).

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In