scholarly journals Numerical simulation of systems of shear bands in ductile metal with inclusions

AIP Advances ◽  
2016 ◽  
Vol 6 (2) ◽  
pp. 025008 ◽  
Author(s):  
JeeYeon N. Plohr ◽  
Bradley J. Plohr
Keyword(s):  
Numerical Simulation ◽  
Shear Bands ◽  
Ductile Metal

The interactions between shear bands and rigid lamellar inclusions in a ductile metal matrix

2008 ◽  
Vol 465 (2101) ◽  
pp. 143-163 ◽  
Author(s):  
Francesco Dal Corso ◽  
Davide Bigoni
Keyword(s):  
Metal Matrix ◽  
Shear Bands ◽  
Ductile Failure ◽  
Mode I ◽  
Square Root ◽  
Nonlinear Elastic Material ◽  
Ductile Metal ◽  
Square Root Singularity ◽  
Dilute Suspension ◽  
Nonlinear Elastic

A ductile metal matrix (modelled as a nonlinear elastic material) containing a dilute suspension of an iso-oriented lamellar stiff phase (modelled as stiffeners, i.e. zero thickness, rigid inclusions) is subject to a simple shear of finite amount, parallel to the inclusion orientation, and subsequently perturbed through an incremental Mode I loading, uniform at infinity. Solution to this problem permits analytical investigations of the emergence of shear bands and their interaction with a rigid inclusion (involving a stress square-root singularity at its tip) and discloses the mechanisms of ductile failure in reinforced materials (explaining for instance the experimental evidence that shear bands tend to nucleate and grow parallel to thin hard inclusions). Finally, investigated beyond the elliptic range, the obtained solution becomes non-unique and reveals non-decay and singularity of the fields, facts that provide analytical justification for the difficulties associated with numerical treatment of shear bands.

Water uptake by substituted amylose tablets: experimentation and numerical simulation

2009 ◽  
Vol 00 (00) ◽  
pp. 090904073309027-8
Author(s):  
H.W. Wang ◽  
S. Kyriacos ◽  
L. Cartilier
Keyword(s):  
Numerical Simulation ◽  
Water Uptake
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