An Evaluation of Gurson’s Theory of Dilatational Plasticity

[+] Author and Article Information
B. J. Lee, M. E. Mear

Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712

J. Eng. Mater. Technol 115(4), 339-344 (Oct 01, 1993) (6 pages) doi:10.1115/1.2904227 History: Received March 01, 1992; Revised December 06, 1992; Online April 29, 2008


Gurson’s constitutive theory for the plastic deformation of porous metals is specialized to small deformations of power-law solids containing a dilute concentration of voids, and the resulting incremental relations are integrated for proportional stress histories to obtain a total relation between stress and strain. The predictions of the theory are then evaluated by comparing them with accurate numerical results for spherical voids obtained by Lee and Mear (1992). The modification of Gurson’s theory proposed by Tvergaard (1982) is also discussed.

Copyright © 1993 by The American Society of Mechanical Engineers
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