SYMPOSIA PAPER Published: 01 January 1983
STP37293S

Influence of Compressibility on the Elastic-Plastic Field of a Growing Crack

Source

The plastic singular field at the tip of a crack growing steadily in a perfectly plastic medium is solved in this paper by use of the basic equations and contiguity conditions given in a previous paper [1].2 The fifth-order nonlinear differential equation has been integrated to a second-order equation. The five contiguity conditions are given in very simple form. By use of the general solution of the asymptotic equation and the contiguity conditions, the various possible cases of tip-field structures are discussed and the unique reasonable solution is obtained. For the angles of each sector, the numerical solution is given. In this paper, it is found that the strains also possess the singularity of ℓn(A/r) in the sector ahead the crack tip, even if for the case of ν = ½. Finally, a fracture criterion based on the analysis of singularity of strains is given.

Author Information

Gao, Y-c
Harbin Shipbuilding Engineering Institute, Harbin, China
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: I-176–I-190
DOI: 10.1520/STP37293S
ISBN-EB: 978-0-8031-4869-7
ISBN-13: 978-0-8031-0727-4