Surface elasticity effect on diffusional growth of surface defects in strained solids

Research output

1 Citation (Scopus)

Abstract

This paper presents a theoretical approach that allows to predict the nucleation of surface topological defects under the mechanical loading taking into account the thermodynamic and elastic properties of solid surface as well as its geometrical characteristics. Assuming that the surface atomic layers are thermodynamically unstable under the certain conditions, we obtain the evolution equation describing the kinetics of the relief formation in the case of diffusion mass transport activated by the stress field. The rate of growth of surface defects depends on the field of bulk and surface stresses, which vary with the shape and size of the considered defects. To find the stress state, we use the first-order perturbation solution of a 2D boundary value problem formulated in the terms of the constitutive equations of bulk and surface elasticity. The solution of linearized evolution equation gives the critical values of the ridges size and the initial level of stresses, which stabilize surface profile.

Original languageEnglish
Pages (from-to)1-9
JournalContinuum Mechanics and Thermodynamics
DOIs
Publication statusPublished - 8 Mar 2019

Fingerprint

Surface defects
surface defects
Elasticity
elastic properties
constitutive equations
boundary value problems
solid surfaces
stress distribution
ridges
Constitutive equations
thermodynamic properties
Boundary value problems
nucleation
Nucleation
perturbation
Mass transfer
Thermodynamics
defects
kinetics
profiles

Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

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title = "Surface elasticity effect on diffusional growth of surface defects in strained solids",
abstract = "This paper presents a theoretical approach that allows to predict the nucleation of surface topological defects under the mechanical loading taking into account the thermodynamic and elastic properties of solid surface as well as its geometrical characteristics. Assuming that the surface atomic layers are thermodynamically unstable under the certain conditions, we obtain the evolution equation describing the kinetics of the relief formation in the case of diffusion mass transport activated by the stress field. The rate of growth of surface defects depends on the field of bulk and surface stresses, which vary with the shape and size of the considered defects. To find the stress state, we use the first-order perturbation solution of a 2D boundary value problem formulated in the terms of the constitutive equations of bulk and surface elasticity. The solution of linearized evolution equation gives the critical values of the ridges size and the initial level of stresses, which stabilize surface profile.",
keywords = "Boundary perturbation method, Evolution equation, Surface diffusion, Surface stress",
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AU - Shuvalov, Gleb

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N2 - This paper presents a theoretical approach that allows to predict the nucleation of surface topological defects under the mechanical loading taking into account the thermodynamic and elastic properties of solid surface as well as its geometrical characteristics. Assuming that the surface atomic layers are thermodynamically unstable under the certain conditions, we obtain the evolution equation describing the kinetics of the relief formation in the case of diffusion mass transport activated by the stress field. The rate of growth of surface defects depends on the field of bulk and surface stresses, which vary with the shape and size of the considered defects. To find the stress state, we use the first-order perturbation solution of a 2D boundary value problem formulated in the terms of the constitutive equations of bulk and surface elasticity. The solution of linearized evolution equation gives the critical values of the ridges size and the initial level of stresses, which stabilize surface profile.

AB - This paper presents a theoretical approach that allows to predict the nucleation of surface topological defects under the mechanical loading taking into account the thermodynamic and elastic properties of solid surface as well as its geometrical characteristics. Assuming that the surface atomic layers are thermodynamically unstable under the certain conditions, we obtain the evolution equation describing the kinetics of the relief formation in the case of diffusion mass transport activated by the stress field. The rate of growth of surface defects depends on the field of bulk and surface stresses, which vary with the shape and size of the considered defects. To find the stress state, we use the first-order perturbation solution of a 2D boundary value problem formulated in the terms of the constitutive equations of bulk and surface elasticity. The solution of linearized evolution equation gives the critical values of the ridges size and the initial level of stresses, which stabilize surface profile.

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KW - Evolution equation

KW - Surface diffusion

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