On the role of interfacial elasticity in morphological instability of a heteroepitaxial interface

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On the role of interfacial elasticity in morphological instability of a heteroepitaxial interface. / Shuvalov, Gleb ; Kostyrko, Sergey.

In: Continuum Mechanics and Thermodynamics, Vol. 33, No. 5, 09.2021, p. 2095-2107.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{6a6a10de7cbb4bff9a50930b89bcc1e7,

title = "On the role of interfacial elasticity in morphological instability of a heteroepitaxial interface",

abstract = "In this paper, we discuss a theoretical approach to morphological instability analysis of the coherent interphase boundaries in strained heterostructures. Taking into account the fact that, under certain conditions, the atomic arrangement of solid–solid interfaces is thermodynamically unstable, the evolution equation describing the kinetics of the relief formation is obtained. The considered process is controlled by interface diffusion activated by the nonuniform stress field which occurs due to mismatch between materials and the initial interface perturbation. To define the stress distribution along the curved interface, we use constitutive equations of bulk and surface/interface elasticity modeling the interphase domain as a negligibly thin layer adhering to the bulk phases. This allows us to take into account the surface energy variation related to the interface relief evolution and analyze, in addition to other parameters, the effect of elastic constants that characterize the mechanical behavior of the interphase layer. With the use of the first-order approximation of the boundary perturbation method, the solution of the linearized evolution equation leads to an estimation of equilibrium surface shape.",

keywords = "Boundary perturbation method, Interface instability, Interfacial stress, Linearized evolution equation, Surface diffusion",

author = "Gleb Shuvalov and Sergey Kostyrko",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

month = sep,

doi = "10.1007/s00161-021-01010-6",

language = "English",

volume = "33",

pages = "2095--2107",

journal = "Continuum Mechanics and Thermodynamics",

issn = "0935-1175",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - On the role of interfacial elasticity in morphological instability of a heteroepitaxial interface

AU - Shuvalov, Gleb

AU - Kostyrko, Sergey

PY - 2021/9

Y1 - 2021/9

N2 - In this paper, we discuss a theoretical approach to morphological instability analysis of the coherent interphase boundaries in strained heterostructures. Taking into account the fact that, under certain conditions, the atomic arrangement of solid–solid interfaces is thermodynamically unstable, the evolution equation describing the kinetics of the relief formation is obtained. The considered process is controlled by interface diffusion activated by the nonuniform stress field which occurs due to mismatch between materials and the initial interface perturbation. To define the stress distribution along the curved interface, we use constitutive equations of bulk and surface/interface elasticity modeling the interphase domain as a negligibly thin layer adhering to the bulk phases. This allows us to take into account the surface energy variation related to the interface relief evolution and analyze, in addition to other parameters, the effect of elastic constants that characterize the mechanical behavior of the interphase layer. With the use of the first-order approximation of the boundary perturbation method, the solution of the linearized evolution equation leads to an estimation of equilibrium surface shape.

AB - In this paper, we discuss a theoretical approach to morphological instability analysis of the coherent interphase boundaries in strained heterostructures. Taking into account the fact that, under certain conditions, the atomic arrangement of solid–solid interfaces is thermodynamically unstable, the evolution equation describing the kinetics of the relief formation is obtained. The considered process is controlled by interface diffusion activated by the nonuniform stress field which occurs due to mismatch between materials and the initial interface perturbation. To define the stress distribution along the curved interface, we use constitutive equations of bulk and surface/interface elasticity modeling the interphase domain as a negligibly thin layer adhering to the bulk phases. This allows us to take into account the surface energy variation related to the interface relief evolution and analyze, in addition to other parameters, the effect of elastic constants that characterize the mechanical behavior of the interphase layer. With the use of the first-order approximation of the boundary perturbation method, the solution of the linearized evolution equation leads to an estimation of equilibrium surface shape.

KW - Boundary perturbation method

KW - Interface instability

KW - Interfacial stress

KW - Linearized evolution equation

KW - Surface diffusion

UR - http://www.scopus.com/inward/record.url?scp=85104066928&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/9f3482a5-4077-3c37-9728-4076b78698e2/

U2 - 10.1007/s00161-021-01010-6

DO - 10.1007/s00161-021-01010-6

M3 - Article

AN - SCOPUS:85104066928

VL - 33

SP - 2095

EP - 2107

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

SN - 0935-1175

IS - 5

ER -

ID: 76331466