ANALYSIS OF SHEAR-BAND DEVELOPMENT IN A VISCOPLASTIC DOUBLE SLIP, SINGLE-CRYSTAL IN TENSION

Authors
Citation
S. Yang et C. Rey, ANALYSIS OF SHEAR-BAND DEVELOPMENT IN A VISCOPLASTIC DOUBLE SLIP, SINGLE-CRYSTAL IN TENSION, Journal of applied mechanics, 62(4), 1995, pp. 827-833
Citations number
19
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
62
Issue
4
Year of publication
1995
Pages
827 - 833
Database
ISI
SICI code
0021-8936(1995)62:4<827:AOSDIA>2.0.ZU;2-E
Abstract
Using an idealized planar single crystal model undergoing symmetrical double slip in tension, the effect of rate sensitivity on shear band i nitiation and on shear band development is analysed. The behavior of t he crystal is assumed to be rigid-viscoplastic. By analysing the kinem atics and statics of shear banding the deformation modes involving she ar banding pattern are formulated By a linearized stability analysis, the critical condition for shear band initiation is obtained. To study shear band development, the formulated constitutive equations are num erically solved, and the maximum value of the localized shear is predi cted. The results show three different stages of shear band developmen t. The first corresponds to a slow progression of shear localization i n the band, the second to a rapid shear localization accompanied with an unloading of surrounding material, and the third to a resumption of deformation in the surrounding material and to a progressive saturati on of the shear band All three stages depend strongly on rate sensitiv ity, especially the first stage which does not exist in the rigid-plas tic case. Even very small rate sensitivity can delay significantly or even preclude the shear band formation. Finally a discussion of the re sults illustrates how a macroscopic shear band forms and propagates.