SYMPOSIA PAPER Published: 01 January 1983
STP37303S

A Superposition Method for Nonlinear Crack Problems

Source

The finite-element evaluation of nonlinear cracks in power-hardening materials involves some numerical difficulties: the incompressibility in the plane-strain condition and the representation of the nonlinear crack singularity. In the present paper, the eigenmodes of Hutchinson-Rice-Rosengren (HRR) singularity at the nonlinear crack tip are obtained numerically by the finite-element eigenfunction calculation. Superposing the singularity functions thus obtained on the finite-element displacement, the J-integral values for various structures are determined directly from a coefficient of the superposed function. As for the numerical examples, we take the center-cracked plate, the double-edge-cracked plate, and the single-edge-cracked plate. Several comparison studies are made between the present and the other relevant results.

Author Information

Yagawa, G
Faculty of Engineering, University of Tokyo, Tokyo, Japan
Aizawa, T
University of Tokyo, Tokyo, Japan
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Details
Developed by Committee: E08
Pages: I-354–I-369
DOI: 10.1520/STP37303S
ISBN-EB: 978-0-8031-4869-7
ISBN-13: 978-0-8031-0727-4