Dislocations and inclusions in prestressed metals

Luca Argani, Davide Bigoni*, Gennady Mishuris

*Corresponding author for this work

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Abstract

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.

Original languageEnglish
Article number20120752
Number of pages17
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume469
Issue number2154
DOIs
Publication statusPublished - 08 Jun 2013

Keywords

  • inclusions
  • prestress
  • nonlinear elasticity
  • singular solutions
  • Green's functions
  • INCREMENTAL NONLINEAR ELASTICITY
  • SHEAR BANDS
  • GROWTH
  • FIELD

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