SYMPOSIA PAPER Published: 01 January 1993

An Asymptotic Analysis of Static and Dynamic Crack Extension Along a Ductile Bimaterial Interface/Anti-Plane Case


In the present paper, the asymptotic near-tip stress and velocity fields of a quasi-statically and dynamically growing crack under steady-state conditions along an interface between two ductile materials are presented. The ductile materials are characterized by J2-flow theory with linear plastic hardening. Only the antiplane strain case is considered in the present paper. The linear hardening solutions are assumed to be of variable-separable form with a power-law singularity in the radial distance to the crack tip. Results are given for the singularity and for the distribution of the stress and velocity fields as functions of the hardening parameter and the crack propagation velocity. It is found that an interface between two ductile materials with large plastic hardening only slightly affects the angular distributions of stress and deformation velocity, whereas the singularity in this case is determined by both strain-hardening factors. If a crack is lies along on an interface with a small strain hardening, the singularity is dominantly determined by the lower strain-hardening material and the angular variation of stress and deformation velocity fields in the higher hardening material will be changed drastically. Differences of the elastic shear moduli will mainly influence the deformation velocity distribution, the stress variation will hardly be affected. Increasing the elastic modulus in the small strain-hardening material can slow down the appearance of the plastic reloading. The crack propagation velocity can enlarge the plastic loading zone and diminish the singularity.

Author Information

Yuan, H
Institute of Materials Research, GKSS Research Center, Geesthacht, Germany
Schwalbe, K-H
Institute of Materials Research, GKSS Research Center, Geesthacht, Germany
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Developed by Committee: E08
Pages: 208–226
DOI: 10.1520/STP24271S
ISBN-EB: 978-0-8031-5241-0
ISBN-13: 978-0-8031-1867-6