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Distributed Dislocation Method for Determining Elastic Fields of 2D and 3D Volume Misfit Particles in Infinite Space and Extension of the Method for Particles in Half Space

Published online by Cambridge University Press:  01 December 2014

J. D. Lerma ,
T. Khraishi ,
S. Kataria  and
Y.-L. Shen
J. D. Lerma
Affiliation:
Department of Mechanical Engineering, University of New Mexico New Mexico, USA
T. Khraishi*
Affiliation:
Department of Mechanical Engineering, University of New Mexico New Mexico, USA
S. Kataria
Affiliation:
Department of Mechanical Engineering, University of New Mexico New Mexico, USA
Y.-L. Shen
Affiliation:
Department of Mechanical Engineering, University of New Mexico New Mexico, USA
*
* Corresponding author (khraishi@unm.edu)
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Abstract

A multitude of researchers have utilized a variety of techniques to formulate the stresses and deformations caused by volume misfit inclusions in infinite host media. Few of such techniques can also be extended to derive solutions for inclusions in a half space. In this manuscript we present a novel computational method for determining the elastic fields of two and three-dimensional inclusions of arbitrary shape in an infinite host matrix. The misfit strain is treated by a distribution of prismatic dislocation loops. A systematic numerical assessment illustrates that the discretization can yield excellent agreement with existing analytical solutions for certain particle geometries. This method is then further developed to solve for two-dimensional problems in a half space.

Keywords

EigenstrainDistributed dislocationsHalf spaceElastic field
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 3 , June 2015 , pp. 249 - 260
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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