iMechanica - surface elasticity
https://imechanica.org/taxonomy/term/6258
enEffect of surface elasticity on extensional and torsional stiffnesses of isotropic circular nanorods
https://imechanica.org/node/21981
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/76">research</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/11892">nanorod</a></div><div class="field-item odd"><a href="/taxonomy/term/216">surface stress</a></div><div class="field-item even"><a href="/taxonomy/term/6258">surface elasticity</a></div><div class="field-item odd"><a href="/taxonomy/term/11215">cauchy-born rule</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><span>We present a continuum formulation to obtain simple expressions demonstrating the effects of surface residual stress and surface elastic constants on extensional and torsional stiffnesses of isotropic circular nanorods. Unlike the case of rectangular nanorods, we show that the stiffnesses of circular nanorods also depend on surface residual stress components. This is attributed to non-zero surface curvature inherent in circular nanorods. We further analyze their asymptotic limits in the limit of the nanorod's radius approaching both zero and infinity which correspond to surface dominated and bulk dominated regimes respectively. Finally, we use the recently proposed Helical Cauchy-Born rule and perform molecular statics calculations to obtain axial force, twisting moment and stiffnesses of the tungsten nanorod. The results from molecular statics calculations match most accurately with our formulae when compared to existing formulae by others. </span> <span>The article will appear soon in <em>Mathematics and Mechanics of Solids</em> and can also be accessed at the following link: </span><span><span><a href="https://www.researchgate.net/publication/322015816_Effect_of_surface_elasticity_on_extensional_and_torsional_stiffnesses_of_isotropic_circular_nanorods">https://www.researchgate.net/publication/322015816_Effect_of_surface_ela...</a></span></span></p>
</div></div></div>Sat, 30 Dec 2017 02:05:00 +0000Ajeet Kumar21981 at https://imechanica.orghttps://imechanica.org/node/21981#commentshttps://imechanica.org/crss/node/21981On the importance of surface elastic contributions to the flexural rigidity of nanowires
https://imechanica.org/node/13034
<div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/216">surface stress</a></div><div class="field-item odd"><a href="/taxonomy/term/534">nanowires</a></div><div class="field-item even"><a href="/taxonomy/term/6258">surface elasticity</a></div><div class="field-item odd"><a href="/taxonomy/term/7884">young-laplace</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
Recently published in JMPS:
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<<a id="ddDoi" href="http://dx.doi.org/10.1016/j.jmps.2012.07.009" target="doilink">http://dx.doi.org/10.1016/j.jmps.2012.07.009</a>>
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In the past 5 or so years, analytical studies of surface effects on the mechanical properties of nanostructures such as nanowires have been performed predominantly using one-dimensional models like the Young-Laplace model. While many such analytical studies have been performed, what has been lacking until now is a systematic study of such analytical models as compared to benchmark atomistic studies for a range of nanomechanical boundary value problems.
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This work performs such a study, and also develops a new theoretical model to calculate the flexural rigidity of nanowires from three-dimensional elasticity theory that incorporates the effects of surface stress and surface elasticity. It is very similar to a seminal work by Dingreville et al <<a id="ddDoi" href="http://dx.doi.org/10.1016/j.jmps.2005.02.012" target="doilink">http://dx.doi.org/10.1016/j.jmps.2005.02.012</a>>, but is different in that it incorporates, through the second moment, the heterogeneous nature of elasticity across the nanowire cross section due to the effects of free surfaces. We use this approach to study the boundary value problems of surface-stress-induced axial relaxation, transverse vibrations and buckling. The benchmark comparisons demonstrate the need for a three-dimensional continuum formulation while pointing out the errors introduced by taking a one-dimensional model.
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</div></div></div>Thu, 30 Aug 2012 12:06:52 +0000Harold S. Park13034 at https://imechanica.orghttps://imechanica.org/node/13034#commentshttps://imechanica.org/crss/node/13034Finite Size Effect on Nanomechanical Mass Detection: Role of Surface Elasticity
https://imechanica.org/node/10256
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/76">research</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/2904">surface effect</a></div><div class="field-item odd"><a href="/taxonomy/term/6099">nonlinear oscillation</a></div><div class="field-item even"><a href="/taxonomy/term/6257">nanoresonator</a></div><div class="field-item odd"><a href="/taxonomy/term/6258">surface elasticity</a></div><div class="field-item even"><a href="/taxonomy/term/6259">detection sensitivity</a></div><div class="field-item odd"><a href="/taxonomy/term/6260">sensing performance</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><span class="Apple-style-span"><strong>Finite Size Effect on Nanomechanical Mass Detection: Role of Surface Elasticity</strong></span></p>
<p><span class="Apple-style-span">Mai Duc Dai, Chang-Wan Kim, and Kilho Eom</span> </p>
<p><span class="Apple-style-span">Abstract</span></p>
<p><span class="Apple-style-span">Nanomechanical resonators have recently been highlighted because of their remarkable ability to perform the sensing and detection. Since the nanomechanical resonators arecharacterized by large surface-to-volume ratio, it is implied that the surfaceeffect plays a substantial role on not only the resonance but also the sensing performance of nanomechanical resonators. In this work, we have studied therole of surface effect on the detection sensitivity of a nanoresonator that undergoes either harmonic vibration or nonlinear oscillation based on the continuum elastic model such as an elastic beam model. It is shown that surface effect makes an impact on both harmonic resonance and nonlinear oscillations, and that the sensing performance is dependent on the surface effect. Moreover,we have also investigated the surface effect on the mechanical tuning of resonance and sensing performance. It is interestingly found that the mechanical tuning of resonance is independent of surface effect, while the mechanical tuning of sensing performance is determined by surface effect. Our study shedslight on the importance of surface effect on the sensing performance of nanoresonators.</span> </p>
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<p><span class="Apple-style-span">This manuscript will appear in <em>Nanotechnology</em>.</span> </p>
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<tr class="odd"><td><span class="file"><img class="file-icon" alt="PDF icon" title="application/pdf" src="/modules/file/icons/application-pdf.png" /> <a href="https://imechanica.org/files/Manuscript_Final_Nanotechnol.pdf" type="application/pdf; length=2426598" title="Manuscript_Final_Nanotechnol.pdf">Manuscript_Final_Nanotechnol.pdf</a></span></td><td>2.31 MB</td> </tr>
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</div></div></div>Wed, 11 May 2011 03:28:17 +0000Kilho Eom10256 at https://imechanica.orghttps://imechanica.org/node/10256#commentshttps://imechanica.org/crss/node/10256Error | iMechanica