Vibration analysis and pull-in instability behavior in a multiwalled piezoelectric nanosensor with fluid flow conveyance

• Sayyid H. Hashemi Kachapi

Beilstein J. Nanotechnol. 2020, 11, 1072–1081, doi:10.3762/bjnano.11.92

• a modified strain gradient theory (MSGT) and Gurtin–Murdoch surface elasticity to investigate the size-dependent nonlinear pull-in instability [28]. A new size-dependent nonlinear model for the analysis of the behavior of carbon nanotube resonators was introduced by Farokhi et al. based on modified

A simple extension of the commonly used fitting equation for oscillatory structural forces in case of silica nanoparticle suspensions

• Sebastian Schön and
• Regine von Klitzing

Beilstein J. Nanotechnol. 2018, 9, 1095–1107, doi:10.3762/bjnano.9.101

• interpreted as the distance between the particles within the confinement, is solely dependent on the particle number density and is equal to λ = c−1/3 [35]. This dependence seems fundamental as it is very robust against multiple parameters such as salt concentration, particle size [36], surface elasticity

Finite-size effect on the dynamic and sensing performances of graphene resonators: the role of edge stress

• Chang-Wan Kim,
• Mai Duc Dai and
• Kilho Eom

Beilstein J. Nanotechnol. 2016, 7, 685–696, doi:10.3762/bjnano.7.61

• energetic model as has been also described in surface elasticity theory [4][27]. It was found that edge stress has an impact on both the harmonic and nonlinear oscillations of a graphene resonator, and that the detection sensitivity of a graphene resonator depends on the edge stress. Our study sheds light

Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions

• Santiago D. Solares

Beilstein J. Nanotechnol. 2016, 7, 554–571, doi:10.3762/bjnano.7.49

• AFM simulation. A multifrequency AFM simulation tool based on the above sample model is provided as supporting information. Keywords: atomic force microscopy; modeling; polymers; simulation; spectroscopy; standard linear solid; surface elasticity; surface energy; viscoelasticity; Introduction The

• provided in [14]. The qualitative features of the curves corresponding to the models discussed here are similar. Surface effects in the tip–sample interaction force curve The simulations show that the inclusion of surface elasticity via force constants joining adjacent SLS surface elements (Figure 6d) does

• and 7.5 GPa, respectively (see previous section for an estimation of the rubbery modulus). The value of 3.1 N/m is particularly small if one considers that the in-plane surface displacements are expected to be small. However, the effect of including surface elasticity in the model is significant

Strain distribution due to surface domains: a self-consistent approach with respect to surface elasticity

• Javier Fuhr and
• Pierre Müller

Beilstein J. Nanotechnol. 2015, 6, 321–326, doi:10.3762/bjnano.6.30

• integral equation that contains surface elastic constants, Sij. For surfaces with positive Sij the new approach avoids the introduction of a cut-off length. The classical and the new approaches are compared in case of 1-D periodic ribbons. Keywords: surface strain; surface elasticity; strain field

• generalized to other structures such as 2D circular domains. The so-obtained equations are less tractable but the main result remains the same (see Appendix II). Appendix I: Surface elasticity From a thermodynamic point of view all extensive quantities may present an excess at the interface between two media

• ) Classical model in which each domain is characterized by its own supposedly constant surface stress. (b) When taking into account surface elasticity, the surface stress at mechanical equilibrium is no longer constant except far from the boundary. (a) Continuous (red) curve: normalised strain field ε/Δs1

Nanometer-resolved mechanical properties around GaN crystal surface steps

• Jörg Buchwald,
• Marina Sarmanova,
• Bernd Rauschenbach and
• Stefan G. Mayr

Beilstein J. Nanotechnol. 2014, 5, 2164–2170, doi:10.3762/bjnano.5.225

• ≥ 0} and {(x,y,0) | y ≤ 0} will be neglected as it is constant along x and y, but its treatment would follow the same procedure concerning surface elasticity and symmetry arguments as depicted in the following approach. We first sub-divide the material of interest into infinitesimal cubes of the

Mapping mechanical properties of organic thin films by force-modulation microscopy in aqueous media

• Jianming Zhang,
• Zehra Parlak,
• Carleen M. Bowers,
• Terrence Oas and
• Stefan Zauscher

Beilstein J. Nanotechnol. 2012, 3, 464–474, doi:10.3762/bjnano.3.53

• = 1 N/m, R = 30 nm, and z0 = 2 nm, while 0.1 GPa and 1 GPa were assigned to E*. FMM measurements are less nonlinear at (i) high contact forces and (ii) for stiff materials, as shown by the lower amplitude ratio in these cases in Figure 1. This implies that changes in the surface elasticity can lead to