SIMULATION OF EDGE DISLOCATIONS AND THEIR INTERACTIONS BY FINITE ELEMENT METHOD

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SIMULATION OF EDGE DISLOCATIONS AND THEIR
INTERACTIONS BY FINITE ELEMENT METHOD
Rajib Chandra Das, Rajesh Prasad, Mukesh Gupta
and Anandh Subramaniam Indian Institute of
Technology, New Delhi 110016, India Phone (91)
(11) 2659 1340, Fax (91) (11) 2658 1119, URL
http//web.iitd.ac.in/anandh
INTRODUCTION
Understanding the stress fields and energetics
of dislocations is of fundamental importance
towards comprehending material behaviour at the
microscopic scale. In this investigation a simple
sessile edge dislocation is simulated using
Finite Element Method by feeding-in the
appropriate stress-free Eshelby strains in the
model, corresponding to the introduction of an
extra half-plane of atoms. The Eshelby strains
are imposed as thermal strains in the numerical
model using the software package ABAQUS/STANDARD
Version 6.5, 2005. The results of the
simulation are compared with the standard
equations from the elasticity theory of
dislocations. The utility of the simulation is
shown using interaction of an edge dislocation
with a free surface and interaction between edge
dislocations in various configurations. Key
words Dislocation stress fields Finite element
method
?x ? PLOT OF THEORETICAL EQUATION
?y ? PLOT OF THEORETICAL EQUATION