SYMPOSIA PAPER Published: 01 January 1985

Strain-Rate Dependence of the Deformation at the Tip of a Stationary Crack


A new analytical technique is presented whereby the Hutchinson-Rice-Rosengren singularity solutions can be used, in certain cases, to determine the stresses and strains near a crack tip for a dynamically loaded, strain rate-dependent material. This technique involves a simple modification of the constant, α, and the strain hardening exponent, n, in the power stress-strain law. Elastoplastic, dynamic finite element computations are in close agreement with this analytical technique.

Stresses and strains are generally higher in a dynamically loaded rate sensitive material than in a rate insensitive material. Also, J1c increases correspond to increases in the flow stress in rate-sensitive materials, provided that δc is rate-insensitive.

Author Information

Hoff, R
Vanderbilt University, Nashville, TN University of Waterloo, Waterloo, Ontario, Canada
Rubin, CA
Vanderbilt University, Nashville, TN
Hahn, GT
Vanderbilt University, Nashville, TN
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Developed by Committee: E08
Pages: 409–430
DOI: 10.1520/STP34266S
ISBN-EB: 978-0-8031-4933-5
ISBN-13: 978-0-8031-0225-5