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Stability analysis of a nanopatterned bimaterial interface. / Shuvalov, Gleb M.; Kostyrko, Sergey A.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 17, No. 1, 2021, p. 97-104.

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

Harvard

Shuvalov, GM & Kostyrko, SA 2021, 'Stability analysis of a nanopatterned bimaterial interface', Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, vol. 17, no. 1, pp. 97-104. https://doi.org/10.21638/11701/SPBU10.2021.109

APA

Shuvalov, G. M., & Kostyrko, S. A. (2021). Stability analysis of a nanopatterned bimaterial interface. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 17(1), 97-104. https://doi.org/10.21638/11701/SPBU10.2021.109

Vancouver

Shuvalov GM, Kostyrko SA. Stability analysis of a nanopatterned bimaterial interface. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021;17(1):97-104. https://doi.org/10.21638/11701/SPBU10.2021.109

Author

Shuvalov, Gleb M. ; Kostyrko, Sergey A. / Stability analysis of a nanopatterned bimaterial interface. In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021 ; Vol. 17, No. 1. pp. 97-104.

BibTeX

@article{9d76c8b1cd98469c88f91bdd4be39893,
title = "Stability analysis of a nanopatterned bimaterial interface",
abstract = "In the article it is shown that the nanopatterned interface of bimaterial is unstable due to the diffusion atom flux along the interface. The main goal of the research is to analyze the conditions of interface stability. The authors developed a model coupling thermodynamics and solid mechanics frameworks. In accordance with the Gurtin-Murdoch theory of surface/interface elasticity, the interphase between two materials is considered as a negligibly thin layer with the elastic properties differing from those of the bulk materials. The growth rate of interface roughness depends on the variation of the chemical potential at the curved interface, which is a function of interface and bulk stresses. The stress distribution along the interface is found from the solution of plane elasticity problem taking into account plane strain conditions. Following this, the linearized evolution equation is derived, which describes the amplitude change of interface perturbation with time.",
keywords = "Boundary perturbation method, Evolution equation, Interface diffusion, Interface elasticity, Morphological instability",
author = "Shuvalov, {Gleb M.} and Kostyrko, {Sergey A.}",
note = "Publisher Copyright: {\textcopyright} St. Petersburg State University, 2021",
year = "2021",
doi = "10.21638/11701/SPBU10.2021.109",
language = "English",
volume = "17",
pages = "97--104",
journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1811-9905",
publisher = "Издательство Санкт-Петербургского университета",
number = "1",

}

RIS

TY - JOUR

T1 - Stability analysis of a nanopatterned bimaterial interface

AU - Shuvalov, Gleb M.

AU - Kostyrko, Sergey A.

N1 - Publisher Copyright: © St. Petersburg State University, 2021

PY - 2021

Y1 - 2021

N2 - In the article it is shown that the nanopatterned interface of bimaterial is unstable due to the diffusion atom flux along the interface. The main goal of the research is to analyze the conditions of interface stability. The authors developed a model coupling thermodynamics and solid mechanics frameworks. In accordance with the Gurtin-Murdoch theory of surface/interface elasticity, the interphase between two materials is considered as a negligibly thin layer with the elastic properties differing from those of the bulk materials. The growth rate of interface roughness depends on the variation of the chemical potential at the curved interface, which is a function of interface and bulk stresses. The stress distribution along the interface is found from the solution of plane elasticity problem taking into account plane strain conditions. Following this, the linearized evolution equation is derived, which describes the amplitude change of interface perturbation with time.

AB - In the article it is shown that the nanopatterned interface of bimaterial is unstable due to the diffusion atom flux along the interface. The main goal of the research is to analyze the conditions of interface stability. The authors developed a model coupling thermodynamics and solid mechanics frameworks. In accordance with the Gurtin-Murdoch theory of surface/interface elasticity, the interphase between two materials is considered as a negligibly thin layer with the elastic properties differing from those of the bulk materials. The growth rate of interface roughness depends on the variation of the chemical potential at the curved interface, which is a function of interface and bulk stresses. The stress distribution along the interface is found from the solution of plane elasticity problem taking into account plane strain conditions. Following this, the linearized evolution equation is derived, which describes the amplitude change of interface perturbation with time.

KW - Boundary perturbation method

KW - Evolution equation

KW - Interface diffusion

KW - Interface elasticity

KW - Morphological instability

UR - http://www.scopus.com/inward/record.url?scp=85106758441&partnerID=8YFLogxK

U2 - 10.21638/11701/SPBU10.2021.109

DO - 10.21638/11701/SPBU10.2021.109

M3 - Article

AN - SCOPUS:85106758441

VL - 17

SP - 97

EP - 104

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 1

ER -

ID: 84489106