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Stochastic flexural vibrations of small-scale Bernoulli-Euler beams with external damping are investigated by stress-driven nonlocal mechanics. Damping effects are simulated considering viscous interactions between beam and surrounding…

In this article, eigenfrequencies of nano-beams under axial loads are assessed by making recourse to the well-posed stress-driven nonlocal model (SDM) and strain-driven two-phase local/nonlocal formulation (NstrainG) of elasticity and…

In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven…

Applied Physics · Physics 2020-09-01 Raffaele Barretta , Marko Čanađija , Francesco Marotti de Sciarra

Curved beams are basic structural components of Nano-Electro-Mechanical-Sistems (NEMS) whose design requires appropriate modelling of scale effects. In the present paper, the size-dependent static behaviour of curved elastic nano-beams is…

Applied Physics · Physics 2020-09-22 Raffaele Barretta , Francesco Marotti de Sciarra , Marzia Sara Vaccaro

In this paper, size-dependent dynamic responses of small-size frames are modelled by stress-driven nonlocal elasticity and assessed by a consistent finite-element methodology. Starting from uncoupled axial and bending differential…

We propose a new method to characterize the spatial distribution of particles' vibrations in solids with much lower computational costs compared to the usual normal mode analysis. We excite the specific vibrational mode in a two dimensional…

Soft Condensed Matter · Physics 2016-05-24 Elsen Tjhung , Takeshi Kawasaki

In this research, the size-dependent static behaviour of elastic curved stubby beams is investigated by Timoshenko kinematics. Stress-driven two-phase integral elasticity is adopted to model size effects which soften or stiffen classical…

This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actuator and possesses local damping effect. Using Hamilton's…

Optimization and Control · Mathematics 2026-05-06 Alexander Zuyev , Julia Kalosha

The dynamic behavior of AFM is studied taking into account the nonlinear interaction forces between probe and sample. The exerted forces on the free end of micro-beam are simulated with the third degree polynomial. The effect of some…

Applied Physics · Physics 2020-09-15 Sina Eftekhar , Seyyed Mostafa Mousavi Janbeh Sarayi

A theoretical description of the weakly nonlinear and mode-dependent dynamics of a nanoscale beam that is under intrinsic tension is developed. A full analysis of the dynamic range of the beam over a wide range of conditions is presented.…

Applied Physics · Physics 2025-08-08 N. W. Welles , M. Ma , K. L. Ekinci , M. R. Paul

Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally…

Mathematical Physics · Physics 2009-11-13 Graeme W. Milton

Using finite element micromagnetic simulations, we study how resonant magnetisation dynamics in thin magnetic discs with perpendicular anisotropy are influenced by magnetostatic coupling to a magnetic nanoparticle. We identify resonant…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Maximilian Albert , Marijan Beg , Dmitri Chernyshenko , Marc-Antonio Bisotti , Rebecca L. Carey , Hans Fangohr , Peter J. Metaxas

Mechanical stresses in soft materials across different length scales play a fundamental role in understanding the function of biological systems and in the use of artificial materials for engineering soft machines and biomedical devices.…

Soft Condensed Matter · Physics 2025-06-05 Zhaoyi Zhang , Guo-Yang Li , Yuxuan Jiang , Yang Zheng , Artur L. Gower , Michel Destrade , Yanping Cao

The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions. Complexity of the boundary conditions results in…

Analysis of PDEs · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

A well-posed stress-driven mixture is proposed for Timoshenko nano-beams. The model is a convex combination of local and nonlocal phases and circumvents some problems of ill-posedness emerged in strain-driven Eringen-like formulations for…

Stress transmission inside three dimensional granular packings is investigated using computer simulations. Localized force perturbation techniques are implemented for frictionless and frictional shallow, ordered, granular arrays confined by…

Soft Condensed Matter · Physics 2015-05-30 Abdullah Cakir , Leonardo E. Silbert

We investigate the interplay of shape changes and localized surface plasmons in small metal particles with the potential of a large enhancement of the Raman signal from the particles own vibrations. The framework is a geometrical one where…

Optics · Physics 2016-01-26 S. P. Apell , G. Mukhopadhyay , Tomasz Antosiewicz , J Aizpurua

Integral-type nonlocal damage models describe the fracture process zones by regular strain profiles insensitive to the size of finite elements, which is achieved by incorporating weighted spatial averages of certain state variables into the…

Materials Science · Physics 2014-06-16 Peter Grassl , Dimitrios Xenos , Milan Jirásek , Martin Horák

A consistent stress-driven nonlocal integral model for nonisothermal structural analysis of elastic nano- and microbeams is proposed. Most nonlocal models of literature are strain-driven and it was shown that such approaches can lead toward…

In this paper, we present an asymptotic model describing localised flexural vibrations along a structured ring containing point masses or spring-mass resonators in an elastic plate. The values for the required masses and stiffnesses of…

Classical Physics · Physics 2019-05-01 A. B. Movchan , R. C. McPhedran , G. Carta , R. V. Craster
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