Surface elasticity effect on diffusional growth of surface defects in strained solids

Kostyrko, Sergey A.; Shuvalov, Gleb M.

doi:10.1007/s00161-019-00756-4

Cited by 13 publications

(4 citation statements)

References 37 publications

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“…Add that the presence of minor surface and subsurface defects [31,32,33,34,35,36] can result in a high stress gradient, which can cause electrochemical heterogeneity and localisation of the dissolution process. The results presented in the paper do not concern the localisation of corrosive wear.…”

Section: Figmentioning

confidence: 99%

On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion

Zhao

Pronina

2019

E3S Web Conf.

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The paper concerns 2D problem of an elastic thick-walled pipe with an initial thickness variation, subjected to internal pressure and mechanochemical corrosion. The inner perimeter of the pipe cross-section is elliptical, while the outer is circular. The linear Dolinskii corrosion kinetics model is used. In the general case, structural instability of initial boundary value problems with unknown evolving boundaries can cause the divergence of numerical procedures when modelling the processes under study. It is observed that the attempts to circumvent the divergence of numerical procedure can suppress the manifestation of mechanochemical effect and yield inaccurate results. Thus, it is necessary to find a compromise between competing computational processes. Calculations revealed that the variation of the initial pipe wall thickness within the acceptable pipe wall tolerance can noticeably accelerate the growth of stresses and, consequently, reduce the durability of the pipe. The applicability of analytical solutions for a perfect circular pipe with a reduced thickness, equal to the minimum thickness of the imperfect pipe, to the case under study is also discussed.

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Section: Figmentioning

confidence: 99%

On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion

Zhao

Pronina

2019

E3S Web Conf.

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“…The stress resultants acting in such surface/interface layers are known as surface/interface stresses. Recently, this model has been extensively applied in the analysis of elastic properties of nanosized specimens [33–43]. Mentioned above studies showed that the surface/interface effects can not be ignored when the dimension of the considered system is at the nanoscale.…”

Section: Introductionmentioning

confidence: 99%

Coupled effect of curved surface and interface on stress state of wrinkled thin film coating at the nanoscale

2021

Self Cite

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In this paper, we present the model of continuum mechanics for an analysis of the size‐dependent elastic state of the wrinkled thin film coating with the nanosized thickness. For this purpose, we formulate the two‐dimensional boundary value problem for the film‐on‐substrate system under plane strain conditions in terms of the complex variable. To analyse the effect of surface and interface elasticity, the surface and interphase domains are modelled as negligibly thin layers adhering to the bulk phases without slipping. The algorithm of deriving the expressions for the stress tensor components in the first‐order approximation of the boundary perturbation method is described. Based on this algorithm, the influence of the size of the wrinkles, film‐to‐substrate stiffness ratio and film thickness on the stress concentration in the film is examined.

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“…Conclusion. This paper contains the further development of the theoretical methods for studying the formation of topological defects on free and interfacial surfaces of composite materials [5,15]. Based on thermodynamics and solid mechanics framework, we derived the equation which describes the change of perturbation amplitude with time.…”

mentioning

confidence: 99%

“…Considering the metal-on-metal interface, it was found that the critical perturbation wavelength increases with increasing stiffness ratio r and interface stiffness M s . The considered problem can be reduced to a problem of morphological instability of stressed solid surface presented in [15] by equating r = 0. The solutions of both problems are found to be in good agreement.…”

mentioning

confidence: 99%

Stability analysis of a nanopatterned bimaterial interface

Shuvalov¹,

Kostyrko²

2021

Vestnik SPbSU. Applied Mathematics. Computer Science. Control P

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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.

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Surface elasticity effect on diffusional growth of surface defects in strained solids

Cited by 13 publications

References 37 publications

On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion

On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion

Coupled effect of curved surface and interface on stress state of wrinkled thin film coating at the nanoscale

Stability analysis of a nanopatterned bimaterial interface

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