Finite Element Solutions for Crack-Tip Behavior in Small-Scale Yielding

[+] Author and Article Information
D. M. Tracey

Combustion Engineering, Inc., Windsor, Conn.

J. Eng. Mater. Technol 98(2), 146-151 (Apr 01, 1976) (6 pages) doi:10.1115/1.3443357 History: Received January 28, 1975; Online August 17, 2010


The subject considered is the stress and deformation fields in a cracked elastic-plastic power law hardening material under plane strain tensile loading. An incremental plasticity finite element formulation is developed for accurate analysis of the complete field problem including the extensively deformed near tip region, the elastic-plastic region, and the remote elastic region. The formulation has general applicability and was used to solve the small scale yielding problem for a set of material hardening exponents. Distributions of stress, strain, and crack opening displacement at the crack tip and through the elastic-plastic zone are presented as a function of the elastic stress intensity factor and material properties.

Copyright © 1976 by ASME
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