Void Growth in an Elastic-Plastic Medium

[+] Author and Article Information
A. Needleman

Division of Engineering and Applied Physics, Harvard University, Cambridge, Mass.

J. Appl. Mech 39(4), 964-970 (Dec 01, 1972) (7 pages) doi:10.1115/1.3422899 History: Received April 13, 1971; Revised November 01, 1971; Online July 12, 2010


The uniaxial deformation of an elastic-plastic medium containing a doubly periodic square array of circular cylindrical voids is studied under plane-strain conditions. Both the effects of geometrical nonlinearities resulting from large deformation and physical nonlinearities arising from plastic material behavior are included in formulating the problem. A variational principle is used as the basis for implementing a finite-element solution. Results are obtained for the change in void shape and size under increasing overall strain, the overall tensile behavior of the material with voids, and the development of the plastic zone about a void.

Copyright © 1972 by ASME
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