Application of the Deformation Theory of Plasticity for Determining Elastoplastic Stress and Strain Concentration Factors

[+] Author and Article Information
J. P. Eimermacher

Department of Mechanical Engineering, University of Dayton, Dayton, Ohio

I.-Chih Wang, M. L. Brown

Department of Mechanical Engineering, University of Cincinnati, Cincinnati, Ohio

J. Eng. Ind 98(4), 1152-1156 (Nov 01, 1976) (5 pages) doi:10.1115/1.3439072 History: Received January 19, 1976; Online July 15, 2010


The deformation theory of plasticity is considered as a means for obtaining a solution to the problem of calculating stress and strain concentration factors at geometric discontinuities where the local stress state exceeds the yield strength of the material. Through the use of the Hencky-Nadai constitutive law and the Von Mises failure criteria, the elastoplastic element stiffness matrix is derived for a plane stress triangular plate element. An elastoplastic solution is arrived at by considering direct-iterative and finite element techniques. Verification of the analytical results is obtained by considering a numerical example and comparing the calculated results with published experimental and analytical data.

Copyright © 1976 by ASME
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