TY - JOUR

T1 - Interplay of surface and bulk elasticity in morphological stability of ultra-thin film coatings

AU - Шувалов, Глеб Михайлович

AU - Костырко, Сергей Алексеевич

AU - Альтенбах, Хольм

PY - 2024/5/1

Y1 - 2024/5/1

N2 - This paper explores the interplay of surface and bulk elasticity on the evolution of surface relief within nanosized thin-film coatings, driven by the relaxation of misfit stresses through surface diffusion mechanism. The proposed theoretical approach incorporates the constitutive equations of surface elasticity theory developed by Gurtin and Murdoch into the Asaro–Tiller–Grinfeld model of morphological instability, which takes into account the stress sensitivity of the local gradient in chemical potential driving mass transport along the perturbed surface. Linear stability analysis, based on the solution of the linearized evolution equation representing the amplitude change of surface perturbation with time, predicts the conditions leading to the early growth of surface topological defects. These conditions depend on factors, such as the initial shape and wavelength of the surface undulations, misfit stresses, tension at the surface and interface, and the elastic properties governing the deformation of the surface, interface, film, and substrate.

AB - This paper explores the interplay of surface and bulk elasticity on the evolution of surface relief within nanosized thin-film coatings, driven by the relaxation of misfit stresses through surface diffusion mechanism. The proposed theoretical approach incorporates the constitutive equations of surface elasticity theory developed by Gurtin and Murdoch into the Asaro–Tiller–Grinfeld model of morphological instability, which takes into account the stress sensitivity of the local gradient in chemical potential driving mass transport along the perturbed surface. Linear stability analysis, based on the solution of the linearized evolution equation representing the amplitude change of surface perturbation with time, predicts the conditions leading to the early growth of surface topological defects. These conditions depend on factors, such as the initial shape and wavelength of the surface undulations, misfit stresses, tension at the surface and interface, and the elastic properties governing the deformation of the surface, interface, film, and substrate.

KW - Surface diffusion

KW - Surface elasticity

KW - Surface morphological instability

KW - Surface stress

KW - Surface tension

KW - Ultra-thin-film

UR - https://rdcu.be/dx10s

UR - https://www.mendeley.com/catalogue/b238551b-f46c-3b92-8a7a-2dbc3990ee73/

U2 - 10.1007/s00161-024-01279-3

DO - 10.1007/s00161-024-01279-3

M3 - Article

VL - 36

SP - 503

EP - 523

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

SN - 0935-1175

IS - 3

ER -