Numerical simulation of shear band formation with a hypoplastic constitutive model

1996 ◽  
Vol 18 (1) ◽  
pp. 71-84 ◽  
Author(s):  
J. Tejchman ◽  
W. Wu
Keyword(s):  
Numerical Simulation ◽  
Shear Band ◽  
Constitutive Model ◽  
Shear Band Formation ◽  
Band Formation ◽  
Hypoplastic Constitutive Model

scholarly journals Dislocations and inclusions in prestressed metals

2013 ◽  
Vol 469 (2154) ◽  
pp. 20120752 ◽  
Author(s):  
Luca Argani ◽  
Davide Bigoni ◽  
Gennady Mishuris
Keyword(s):  
Shear Band ◽  
Constitutive Model ◽  
Plane Strain ◽  
Deformation Theory ◽  
Shear Band Formation ◽  
Dislocation Dipole ◽  
Elastic Solids ◽  
Band Formation ◽  
Ductile Metals ◽  
Nonlinear Elastic

The effect of prestress on dislocation (and inclusion) fields in nonlinear elastic solids is analysed by extending previous solutions by Eshelby and Willis. Using a plane-strain constitutive model (for incompressible incremental nonlinear elasticity) to describe the behaviour of ductile metals ( J 2 -deformation theory of plasticity), we show that when the level of prestress is high enough that shear band formation is approached, strongly localized strain patterns emerge, when a dislocation dipole is emitted by a source. These may explain cascade activation of dislocation clustering along slip band directions.

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