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SUMMARY:Line Defect dynamics and solid mechanics - Professor Amit Archarya
 \, Carnegie Mellon University
DTSTART:20151016T130000Z
DTEND:20151016T140000Z
UID:TALK60493@talks.cam.ac.uk
CONTACT:Ms Helen Gardner
DESCRIPTION:Continuum mechanics has been a successful model for studying m
 acroscopic deformations and the forces causing them. The usual framework a
 llows the study of continuous deformations giving way to surfaces of disco
 ntinuity\, but does not provide an adequate framework for considering the 
 dynamics of the terminating lines of surfaces of discontinuity\, were such
  to occur. It turns out that such terminating lines of surfaces of discont
 inuity serve as a model of common line defects that arise in a host of mat
 erials\; dislocations and grain/phase boundary junctions in crystalline an
 d soft matter. I will describe a framework for considering line defect dyn
 amics within continuum mechanics. I will show how the kinematics of line d
 efect dynamics provides a unifying theme for describing the defects mentio
 ned above\, resulting in an augmentation of the classical balance laws of 
 continuum mechanics with a microscopic conservation law for topological ch
 arge carried by these defect lines. The theory will be illustrated with ex
 amples related to dislocation dynamics with inertia\, the computation of f
 ields of interfacial defects like the star disclination and grain boundary
  disconnections\, and a rationalization of the possible mobile defects in 
 a metallic glass as 4-6 disclination pairs in a uniformly geometrically fr
 ustrated medium of static 5-fold disclination lines.
LOCATION:Oatley Seminar Room\, Department of Engineering
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