Dynamic Crack Growth in a Power Hardening Viscoplastic Material

[+] Author and Article Information
Vijay B. Shenoy, R. Krishna Kumar

Department of Mechanical Engineering, Indian Institute of Technology, Madras-600 036, India

J. Eng. Mater. Technol 116(4), 465-470 (Oct 01, 1994) (6 pages) doi:10.1115/1.2904314 History: Received November 29, 1992; Online April 29, 2008


In this paper a finite element analysis of steady-state dynamic crack growth under mode I plane strain small scale yielding conditions has been performed in a power law hardening rate dependent plastic material, characterized by the Perzyna over stress model. A modified version of the rate tangent modulus method has been used to update the stress. The main objective of the work is to obtain a quantitative relationship between dynamic fracture toughness ratio (K/Kss ) and crack speed. A plastic strain criteria proposed by McClintock (1968) has been applied to obtain this relationship. It is found that dynamic stress intensity factor increases with velocity for all values of β̂ (a normalized viscosity parameter). At a low value of β̂, which corresponds to high rate sensitivity, the fracture toughness ratio (K/Kss ) increases with hardening. On the other hand, at a higher β̂, the ratio increases initially and falls subsequently, with increasing hardening.

Copyright © 1994 by The American Society of Mechanical Engineers
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