TY - JOUR

T1 - Analytical Expression for the Distribution of Elastic Strain Created by a Polyhedral Inclusion with Arbitrary Eigenstrain

AU - Nenashev, A. V.

AU - Dvurechenskii, A. V.

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85052969319&partnerID=8YFLogxK

U2 - 10.1134/S106378341809024X

DO - 10.1134/S106378341809024X

M3 - Article

AN - SCOPUS:85052969319

VL - 60

SP - 1807

EP - 1812

JO - Physics of the Solid State

JF - Physics of the Solid State

SN - 1063-7834

IS - 9

ER -