Open AccessАналитическое выражение для распределения упругой деформации, создаваемой включением в форме многогранника с произвольной собственной деформацией
Author(s) -
A. V. Nenashev,
А. В. Двуреченский
Publication year - 2018
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2018.09.46394.053
Subject(s) - eigenstrain , isotropy , tensor field , infinitesimal strain theory , mathematical analysis , tensor (intrinsic definition) , hydrostatic equilibrium , geometry , physics , classical mechanics , mathematics , materials science , exact solutions in general relativity , optics , finite element method , thermodynamics , composite material , residual stress , quantum mechanics
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.