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This paper presents a conforming thin plate bending element based on the Partition of Unity Finite Element Method (PUFEM), for the simulation of steady-state forced vibration. The issue of ensuring the continuity of displacement and slope…

Numerical Analysis · Mathematics 2025-06-04 Tong Zhou , Jean-Daniel Chazot , Emmanuel Perrey-Debain , Li Cheng

We analyze the thermal fluctuations of a narrow graphene nanoribbon. Using a continuum, membrane-like model we study the height-height correlation functions and the destabilization modes corresponding to two different boundaries conditions:…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 P. Scuracchio , A. Dobry

The geometry of a Si$_3$N$_4$ lamellar grating was investigated experimentally with reference-free grazing-incidence X-ray fluorescence analysis. While simple layered systems are usually treated with the matrix formalism to determine the…

This study presents the analytical formulation and the finite element solution of fractional order nonlocal plates under both Mindlin and Kirchoff formulations. By employing consistent definitions for fractional-order kinematic relations,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-03 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Flexoelectricity, a coupling between strain gradients and electric polarization, has attracted significant interest due to its critical role in enhanced effects at small scales and its applicability across a diverse range of materials.…

Computational Physics · Physics 2025-02-28 Arash Kazemi , Kshiteej J Deshmukh , Susan Trolier-McKinstry , Shad Roundy

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

In order to clarify the relationship between the phonon spectra of nanoparticles and their melting temperature, we studied in detail the size-dependent low energy vibration modes. A minimum model with atoms on a lattice and harmonic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kai Kang , Shaojing Qin , Chuilin Wang

Magnetic nanoparticle based hyperthermia emerged as a potential tool for treating malignant tumours. The efficiency of the method relies on the knowledge of magnetic properties of the samples; in particular, knowledge of the frequency…

Magnetization of soft-ferromagnetic nano- and microtubes of nanometer-thin walls (a single-widening rolled-up nanomembranes) is theoretically studied using analytical and numerical approaches including different stress-induced anisotropies.…

Mesoscale and Nanoscale Physics · Physics 2016-09-12 Andrzej Janutka

We have measured the size effect in nonlocal Gilbert relaxation rate in FM(t$_{FM}$) / Cu (5nm) [/ Pt (2nm)] / Al(2nm) heterostructures, FM = \{ Ni$_{81}$Fe$_{19}$, Co$_{60}$Fe$_{20}$B$_{20}$, pure Co\}. Common behavior is observed for…

Mesoscale and Nanoscale Physics · Physics 2013-08-05 A. Ghosh , J. F. Sierra , S. Auffret , U. Ebels , W. E. Bailey

We have measured the mechanical properties of few-layer graphene and graphite flakes that are suspended over circular holes. The spatial profile of the flake's spring constant is measured with an atomic force microscope. The bending…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 Menno Poot , Herre S. J. van der Zant

We utilize classical molecular dynamics simulations to investigate the intrinsic loss mechanisms of monolayer graphene nanoresonators undergoing flexural oscillations. We find that spurious edge modes of vibration, which arise not due to…

Materials Science · Physics 2009-03-05 Sung Youb Kim , Harold S. Park

The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang

Electric field dependent mechanical properties of relaxor ferroelectric material Pb(Mn1/3Nb2/3)O3-PbTiO3 are investigated with the nanoindentation technique. Giant electric-field-tunable apparent elastic modulus (up to -39%), hardness (-9%…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 Hao Zhou , Yongmao Pei , Faxin Li , Haosu Luo , Daining Fang

The layer-upon-layer approach in additive manufacturing, open or closed cells in polymeric or metallic foams involve an intrinsic microstructure tailored to the underlying applications. Homogenization of such architectured materials creates…

Computational Engineering, Finance, and Science · Computer Science 2025-09-24 B. Cagri Sarar , M. Erden Yildizdag , Francesco Fabbrocino , B. Emek Abali

We report on a systematic temperature dependent X-band electron paramagnetic resonance (EPR) study of nano-sized graphite particles prepared by ball-milling. In as-prepared samples a very intense and sharp EPR resonance at $g=2.0035$ has…

Strongly Correlated Electrons · Physics 2011-08-23 Jonas Kausteklis , Pavel Cevc , Denis Arcon , Lucia Nasi , Daniele Pontiroli , Marcello Mazzani , Mauro Ricco

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability…

Pattern Formation and Solitons · Physics 2009-11-07 V. V. Mekhonoshin , Adrian Lange

Multi-scale simulations of nanotube-based nanoelectromechanical systems (NEMS) controlled by a nonuniform electric field are performed by an example of a gigahertz oscillator. Using molecular dynamics simulations, we obtain the friction…

The bending rigidity of two-dimensional (2D) materials is a key parameter for understanding the mechanics of 2D NEMS devices. The apparent bending rigidity of graphene membranes at macroscopic scale differs from theoretical predictions at…

Structures involving solid particles of nanometric dimensions play an increasingly important role in material sciences. These structures are often characterized through the vibrational properties of their constituent particles, which can be…

Statistical Mechanics · Physics 2009-11-07 J. P. Wittmer , A. Tanguy , J. -L. Barrat , L. Lewis