Analytical Expression for the Distribution of Elastic Strain Created by a Polyhedral Inclusion with Arbitrary Eigenstrain

Journal Article · Sat Sep 15 04:00:00 EDT 2018 · Physics of the Solid State

DOI:https://doi.org/10.1134/S106378341809024X· OSTI ID:22771024

Dvurechenskii, A. V. ^[1]

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1. Russian Academy of Sciences, Rzhanov Institute of Semiconductor Physics, Siberian Branch (Russian Federation)

Analytical expressions for the displacement vector, stain tensor, and Eshelby tensor have been obtained in the case where an inclusion in an elastically isotropic infinite medium has a polyhedral shape. The eigenstrain (e.g., the lattice mismatch) is assumed to be constant inside the inclusion but not obligatorily hydrostatic. The obtained expressions describe the strain both inside the inclusion and in its environment. It has been shown that a complex three-dimensional configuration of the elastic strain field (as well as of the displacement vector field) is reduced to a combination of simple functions having an illustrative physical and geometrical interpretation.

• OSTI ID: 22771024
• Journal Information: Physics of the Solid State, Journal Name: Physics of the Solid State Journal Issue: 9 Vol. 60; ISSN 1063-7834
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTIC FUNCTIONS
CONFIGURATION
CRYSTAL DEFECTS
DISTRIBUTION
HYDROSTATICS
INCLUSIONS
SIMULATION
STAINS
STRAINS
THREE-DIMENSIONAL CALCULATIONS
VECTOR FIELDS