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In the present work, the pair interaction of coaxial circular prismatic dislocation
loops (PDLs) arbitrary placed in elastic solids with free spherical surfaces is considered. The
analytical solutions for the pair interaction energies of PDLs in an elastic sphere, an elastic
medium with a spherical pore and a spherical layer are given in the form of double power
series and illustrated by energy maps built in the space of the normalized PDL radii and axial
positions. The results can be used for analyzing the theoretical models of stress relaxation
processes in bulk and hollow core-shell nanoparticles and pentagonal particles, which occur
through the formation of dislocation ensembles.
Keywords: prismatic dislocation loops, dislocation ensembles, stress relaxation |
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