Geodesic
Stability analysis of a nanopatterned bimaterial interface
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 17 (2021) no. 1, pp. 97-104

Voir la notice de l'article provenant de la source Math-Net.Ru

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, interface elasticity, morphological instability.
Mots-clés : evolution equation, interface diffusion 
@article{VSPUI_2021_17_1_a8,
     author = {G. M. Shuvalov and S. A. Kostyrko},
     title = {Stability analysis of a nanopatterned bimaterial interface},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {97--104},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2021_17_1_a8/}
}
TY  - JOUR
AU  - G. M. Shuvalov
AU  - S. A. Kostyrko
TI  - Stability analysis of a nanopatterned bimaterial interface
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2021
SP  - 97
EP  - 104
VL  - 17
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2021_17_1_a8/
LA  - en
ID  - VSPUI_2021_17_1_a8
ER  - 
%0 Journal Article
%A G. M. Shuvalov
%A S. A. Kostyrko
%T Stability analysis of a nanopatterned bimaterial interface
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2021
%P 97-104
%V 17
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSPUI_2021_17_1_a8/
%G en
%F VSPUI_2021_17_1_a8
G. M. Shuvalov; S. A. Kostyrko. Stability analysis of a nanopatterned bimaterial interface. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 17 (2021) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/VSPUI_2021_17_1_a8/