THE ASYMPTOTIC SOLUTION TO THE ANTIPLANE SHEAR DYNAMIC CRACK-TIP FIELD IN AN ELASTIC STRAIN-SOFTENING VISCOPLASTIC MATERIAL

Authors
LI FC QI H
Citation
Fc. Li et H. Qi, THE ASYMPTOTIC SOLUTION TO THE ANTIPLANE SHEAR DYNAMIC CRACK-TIP FIELD IN AN ELASTIC STRAIN-SOFTENING VISCOPLASTIC MATERIAL, Applied mathematics and mechanics, 18(2), 1997, pp. 173-179
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Applied mathematics and mechanics → ACNP
ISSN journal
02534827
Volume
18
Issue
2
Year of publication
1997
Pages
173 - 179
Database
ISI
SICI code
0253-4827(1997)18:2<173:TASTTA>2.0.ZU;2-G
Abstract
The elastic strain softening-viscoplastic model is given in this paper . Using this model, the asymptotic stress and strain equations surroun ding the tip of a propagating crock are given and numerical results al e obtained under antiplane shear. The analysis and calculation show th at at the crack tip the strain possesses logarithmic singularity (ln(R /r))(1/(n+1)) while the stress is like (ln(R/r))(-n/(n+1)), therefore the asymptotic behaviour of the elastic strain-softening viscoplastic field is revealed under the antiplane shear.