Pair interaction of intersecting dilatation and disclination defects

Stanislav A. Krasnitckii; Andrei M. Smirnov

doi:10.17308/kcmf.2023.25/11473

Stanislav A. Krasnitckii ITMO University, 49 Kronverksky pr., bldg. A, St. Petersburg 197101, Russian Federation https://orcid.org/0000-0003-4363-8242
Andrei M. Smirnov ITMO University, 49 Kronverksky pr., bldg. A, St. Petersburg 197101, Russian Federation https://orcid.org/0000-0002-7962-6481

DOI: https://doi.org/10.17308/kcmf.2023.25/11473

Keywords: Disclination, Dilatation line, Pair interaction

Abstract

An elastic interaction of the intersecting dilatation and disclination defects located in an infinite linear isotropic media is investigated. The eigenstrain approach is employed to obtain the analytical expressions describing the pair interaction between intersecting dilatational lines and intersecting wedge disclinations. It is demonstrated that the interaction energy strongly depends on the intersection angle between the defects. The energy reaches the maximum value if the defect lines are coincided while the energy reaches the minimum value if the defect lines are orthogonal. Besides, it is shown that interaction energy of intersecting wedge disclinations strongly depends on the elastic properties of the media: the less the
Poisson ratio, the less the energy. The obtained analytical results seem to be applicable for the theoretical analysis of the residual stress relaxation mechanisms in heterostructures with pentagonal symmetry such as icosahedral particles

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Author Biographies

Stanislav A. Krasnitckii, ITMO University, 49 Kronverksky pr., bldg. A, St. Petersburg 197101, Russian Federation

Cand. Sci. (Phys.–Math.),
Associate Professor at the Institute of Advanced Data
Transfer Systems, ITMO University (St. Petersburg,
Russian Federation)

Andrei M. Smirnov, ITMO University, 49 Kronverksky pr., bldg. A, St. Petersburg 197101, Russian Federation

Cand. Sci. (Phys.–Math.),
Associate Professor at the Institute of Advanced Data
Transfer Systems, ITMO University (St. Petersburg,
Russian Federation)

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