SYMPOSIA PAPER Published: 01 January 1973
STP49645S

Analytical Applications of the J-Integral

Source

It has recently been shown by experiment that a quantity known as the J-Integral may be a useful fracture criterion in the inelastic range. The mathematical definition of the J-lntegral is first used here, in combination with some simplifying assumptions, to derive the known relationship between the conventional elastic stress concentration factor of a sharp notch and the elastic stress intensity factor for a crack of the same shape. The same assumptions, together with a generalization of Neuber's equation for the inelastic stress and strain concentration factors for a sharp notch, are then used to derive a relationship between the J-Integral and the parameter KIcd of the Equivalent Energy Method. The purpose of this derivation is to identify a set of assumptions which, in combination, lead to an explicit relationship between the two parameters. A graphical procedure for estimating upper and lower bounds on the full restraint value of the fracture toughness is also discussed.

Author Information

Merkle, J., G.
Oak Ridge National Laboratory, Oak Ridge, Tenn.
Price: $25.00
Contact Sales
Related
Reprints and Permissions
Reprints and copyright permissions can be requested through the
Copyright Clearance Center
Details
Developed by Committee: E08
Pages: 264–280
DOI: 10.1520/STP49645S
ISBN-EB: 978-0-8031-8151-9
ISBN-13: 978-0-8031-6660-8