Stability analysis of nanoscale surface patterns in stressed solids

Research output

2 Citations (Scopus)

Abstract

Here, we use the theory of surface elasticity to extend the morphological instability analysis of stressed solids developed in the works of Asaro, Tiller, Grinfeld, Srolovitz and many others. Within the framework of Gurtin-Murdoch model, the surface phase is assumed to be a negligibly thin layer with the elastic properties which differ from those of the bulk material. We consider the mass transport mechanism driven by the variation of surface and bulk energy along undulated surface of stressed solid. The linearized surface evolution equation is derived in the case of plane strain conditions and describes the amplitude change of surface perturbations with time. A parametric analysis of this equation leads to the definition of critical conditions which depend on undulation wavelength, residual surface stress, applied loading, surface and bulk elastic constants and predict the surface morphological stability.

Original languageEnglish
Pages (from-to)070016-1-070016-5
JournalAIP Conference Proceedings
Volume1959
DOIs
Publication statusPublished - 2 May 2018
EventInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading - Saint Petersburg
Duration: 29 Jan 20182 Feb 2018

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Stability Analysis
elastic properties
plane strain
Parametric Analysis
Mass Transport
Elastic Constants
Plane Strain
Elastic Properties
Thin Layer
surface energy
Evolution Equation
Elasticity
perturbation
Wavelength
Perturbation
Predict
wavelengths
Energy

Scopus subject areas

  • Mathematics(all)

Cite this

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