Size-dependent magnetic properties of naked and ligand-capped nickel nanoparticles

Sugiyama, Akinori; Taguchi, Yousuke; Nagaoka, Shuhei; Nakajima, Atsushi

doi:10.1016/j.cplett.2009.12.004

Cited by 7 publications

(7 citation statements)

References 28 publications

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“…In this section, inspired by the techniques presented in [27,28], we propose quite novel approaches and provide complete numerical solutions of (24)(25). We also note here that the present problem displays strong dependency on the choice of methods so that other existing methods such as Fourier series methods and direct Chebychev methods have failed to deliver successful results.…”

Section: Analysis Of the Singular Integro-differential Equationsmentioning

confidence: 97%

“…In the literature (see, for example, [24,25]), the thickness (h) of the 'layer' responsible for the surface effects is reported as being in the range of a half to a few nanometres. This is actually consistent with our own calculations.…”

Section: Remarkmentioning

confidence: 99%

“…Consequently, the solution of coupled (24)(25) is now reduced to the solution of the two systems of (43-44) and (47-48), respectively for the unknown constants a m , b m , c m and d m . The latter can be obtained by using any of the existing numerical software packages (e.g., Matlab, Maple, NAG, etc.…”

Section: Solution Of Singular Integro-differential Equations By a Colmentioning

confidence: 99%

“…The series of coupled Cauchy singular integro-differential equations in (24)(25) are similar in form to equations of the type:…”

Section: Analysis Of the Singular Integro-differential Equationsmentioning

confidence: 99%

“…The aforementioned surface effects (more precisely, the variation of surface free energy, surface stresses and surface material properties) are incorporated using a complete (including the dependence of surface energy on surface strain) version of the Gurtin-Murdoch surface elasticity model (see [23] for a comprehensive discussion of the various versions of the Gurtin-Murdoch model). More precisely, since it is well-known that the thickness (h) of the 'layer' responsible for surface effects is in the range of a half to a few nanometres (see, for example, [24,25]), we assume that the crack (including its tips) is 'surrounded' by a correspondingly thin surface layer with elastic properties different from those of the surrounding bulk material. In terms of the Gurtin-Murdoch model, this translates into the assumption of a surface as a negligibly thin elastic membrane adhering to the bulk without slipping.…”

mentioning

confidence: 99%

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Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

Kim

Schiavone

2010

J Elast

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We consider plane deformations of a linearly elastic solid in the case where either a mode-I or mode-II crack is present but, perhaps more significantly, when surface effects are included in the mechanics of the crack faces. The surface effects lead to a more accurate description of deformation and are incorporated using a version of the continuum based surface/interface model of Gurtin and Murdoch. We obtain a semi-analytic solution valid throughout the entire domain of interest (including at the crack tips) via two series of coupled Cauchy singular integro-differential equations which are solved numerically using an adapted collocation technique. It is shown that, among various other interesting phenomena, when the solid incorporates a traction-free crack face and is subjected to uniform far-field stresses (tension and in-plane shear), the surface effects result in the elastic response and corresponding stress fields being size-dependent. In particular, we note that, in contrast to classical linear elastic fracture mechanics, our model allows for finite stresses at the (sharp) crack tip.

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Section: Analysis Of the Singular Integro-differential Equationsmentioning

confidence: 97%

Section: Remarkmentioning

confidence: 99%

Section: Solution Of Singular Integro-differential Equations By a Colmentioning

confidence: 99%

“…The series of coupled Cauchy singular integro-differential equations in (24)(25) are similar in form to equations of the type:…”

Section: Analysis Of the Singular Integro-differential Equationsmentioning

confidence: 99%

mentioning

confidence: 99%

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Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

Kim

Schiavone

2010

J Elast

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Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

Kim¹,

Schiavone²,

Ru³

2010

Methods and Tastes in Modern Continuum Mechanics

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Two-photon photoemission spectroscopy for silver nanoparticles on a hydrogen-terminated Si(1 1 1) surface: Metal nanoparticle-enhanced photoemission

Nakamura

Hirata

Nagaoka

et al. 2010

Chemical Physics Letters

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Size-dependent magnetic properties of naked and ligand-capped nickel nanoparticles

Cited by 7 publications

References 28 publications

Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

Two-photon photoemission spectroscopy for silver nanoparticles on a hydrogen-terminated Si(1 1 1) surface: Metal nanoparticle-enhanced photoemission

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