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RESEARCH PAPERS

A Yield Surface Approach to the Estimation of Notch Strains for Proportional and Nonproportional Cyclic Loading

[+] Author and Article Information
M. E. Barkey, K. J. Hsia

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

D. F. Socie

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Eng. Mater. Technol 116(2), 173-180 (Apr 01, 1994) (8 pages) doi:10.1115/1.2904269 History: Received March 12, 1993; Online April 29, 2008

Abstract

An analytical method is developed to estimate notch root strains in a notched bar of elastic-plastic, isotropic material subjected to proportional and nonproportional multiaxial nominal loading. The method uses anisotropic plasticity theory to define a structural yield surface in nominal stress space that incorporates both the isotropic material properties and the anisotropic geometry factors of the notch. Notch root plastic strain increments and anisotropic work-hardening effects are then related to this yield surface using standard methods of plasticity. Comparisons of the proposed method with previously published strain estimates using the finite element method for a notched shaft under proportional nominal bending and torsion, and with strain gage measurements of a circumferentially notched solid steel shaft subjected to a series of box-shaped nonproportional loading paths in tension-torsion nominal stress space are presented. The strain calculations agree well both qualitatively and quantitatively using an appropriate nominal load-notch plastic strain relationship, and are suitable for strain-life fatigue calculations.

Copyright © 1994 by The American Society of Mechanical Engineers
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