### 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 language | English |
---|---|

Pages (from-to) | 1-9 |

Journal | Continuum Mechanics and Thermodynamics |

DOIs | |

Publication status | Published - 8 Mar 2019 |

### Fingerprint

### Scopus subject areas

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

### Cite this

}

**Surface elasticity effect on diffusional growth of surface defects in strained solids.** / Kostyrko, Sergey; Shuvalov, Gleb.

Research output

TY - JOUR

T1 - Surface elasticity effect on diffusional growth of surface defects in strained solids

AU - Kostyrko, Sergey

AU - Shuvalov, Gleb

PY - 2019/3/8

Y1 - 2019/3/8

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.

KW - Boundary perturbation method

KW - Evolution equation

KW - Surface diffusion

KW - Surface stress

UR - http://www.scopus.com/inward/record.url?scp=85062799422&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/surface-elasticity-effect-diffusional-growth-surface-defects-strained-solids

U2 - 10.1007/s00161-019-00756-4

DO - 10.1007/s00161-019-00756-4

M3 - Article

AN - SCOPUS:85062799422

SP - 1

EP - 9

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

SN - 0935-1175

ER -