Instabilities of core–shell heterostructured cylinders due to diffusions and epitaxy: Spheroidization and blossom of nanowires

Duan, Huiling; Weißmüller, J.; Wang, Y.

doi:10.1016/j.jmps.2007.11.009

Cited by 37 publications

(16 citation statements)

References 45 publications

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“…The physical parameters are: the elastic module E s ¼ 131:66GPa, E f ¼ 162:91GPa, and Poisson's ratios are s ¼ 0:20748, f ¼ 0:22262. 55 In practice, the range of misfit strain e Ã is from zero to 0.04. Other parameters are:…”

Section: Numerical Resultsmentioning

confidence: 99%

Understanding the effects of strain on morphological instabilities of a nanoscale island during heteroepitaxial growth

Liu

Wang

et al. 2015

Journal of Applied Physics

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A comprehensive morphological stability analysis of a nanoscale circular island during heteroepitaxial growth is presented based on continuum elasticity theory. The interplay between kinetic and thermodynamic mechanisms is revealed by including strain-related kinetic processes. In the kinetic regime, the Burton-Cabrera-Frank model is adopted to describe the growth front of the island. Together with kinetic boundary conditions, various kinetic processes including deposition flow, adatom diffusion, attachment-detachment kinetics, and the Ehrlich-Schwoebel barrier can be taken into account at the same time. In the thermodynamic regime, line tension, surface energy, and elastic energy are considered. As the strain relief in the early stages of heteroepitaxy is more complicated than commonly suggested by simple consideration of lattice mismatch, we also investigate the effects of external applied strain and elastic response due to perturbations on the island shape evolution. The analytical expressions for elastic fields induced by mismatch strain, external applied strain, and relaxation strain are presented. A systematic approach is developed to solve the system via a perturbation analysis which yields the conditions of film morphological instabilities. Consistent with previous experimental and theoretical work, parametric studies show the kinetic evolution of elastic relaxation, island morphology, and film composition under various conditions. Our present work offers an effective theoretical approach to get a comprehensive understanding of the interplay between different growth mechanisms and how to tailor the growth mode by controlling the nature of the crucial factors. V C 2015 AIP Publishing LLC.

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Section: Numerical Resultsmentioning

confidence: 99%

Understanding the effects of strain on morphological instabilities of a nanoscale island during heteroepitaxial growth

Liu

Wang

et al. 2015

Journal of Applied Physics

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“…Actually, the size effect is also observed when the interface/surface stress has been taken into account [47,52,55]. Moreover, equation (3.8) implies that the surface/interface stress depends on particle size.…”

Section: Size Effect With Surface/interface Stressmentioning

confidence: 97%

Stress fields in hollow core–shell spherical electrodes of lithium ion batteries

Liu

et al. 2014

Proc. R. Soc. A.

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This paper presents a comprehensive model coupling the effects of hydrostatic stress, surface/interface stress, phase transformation and the structure of electrodes. First, the governing equation of moving phase interface with hydrostatic stress is established. Under the effect of hydrostatic stress, phase transformation process is much faster, which means phase transformation time is overestimated in previous publications. Then, a cross-scale analysis is presented to investigate the size effect owing to hydrostatic stress, surface stress and interface stress separately, which concludes that the effect of hydrostatic stress is significant for the stress field in microelectrode particles, whereas that of surface/interface stress is highlighted in nano-ones. Finally, an electrochemical variable 'efficiency' (ratio of effective capacity over total capacity) is defined. The advantages of hollow structure electrodes on stress and efficiency are analysed. The present model is helpful for the material and structure design of electrodes of lithium ion batteries.

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“…Chen et al [9] proposed a formula to calculate the Young's modulus of ZnO based on an experimental method. Duan et al [10] studied core-shell heterostructured cylinders. The governing evolution equations of the surface and interface are established in terms of a linear instability analysis of the longitudinal and radial variations of the surface and the interface positions.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear free vibration of core–shell nanowires with weak interfaces based on a refined nonlocal theory

Zhong

2014

Acta Mech

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Based on a refined nonlocal theory, the nonlinear free vibration of core-shell nanowires is presented in this paper. This refined model can predict the weakening of interfacial bonding which satisfies the vanishing stress boundary condition at surface and stress continuity conditions at the interface. The nonlinear governing equations and boundary conditions are obtained by using Hamilton's principle. The whole problem is solved by a second-step perturbation technique. In numerical results, the simply supported core-shell nanowire with inplane immovable is considered. The effects of transverse shear deformation, geometric sizes, and small-scale parameter and interfacial shear stiffness are discussed.

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Instabilities of core–shell heterostructured cylinders due to diffusions and epitaxy: Spheroidization and blossom of nanowires

Cited by 37 publications

References 45 publications

Understanding the effects of strain on morphological instabilities of a nanoscale island during heteroepitaxial growth

Understanding the effects of strain on morphological instabilities of a nanoscale island during heteroepitaxial growth

Stress fields in hollow core–shell spherical electrodes of lithium ion batteries

Nonlinear free vibration of core–shell nanowires with weak interfaces based on a refined nonlocal theory

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