A review of size-dependent continuum mechanics models for micro-and nano-structures

MA Roudbari, TD Jorshari, C Lü, R Ansari… - Thin-Walled …, 2022 - Elsevier
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …

Advances in modelling and analysis of nano structures: a review

VS Chandel, G Wang, M Talha - Nanotechnology Reviews, 2020 - degruyter.com
Nanostructures are widely used in nano and micro-sized systems and devices such as
biosensors, nano actuators, nano-probes, and nano-electro-mechanical systems. The …

Finite element method for stress-driven nonlocal beams

FP Pinnola, MS Vaccaro, R Barretta… - Engineering Analysis with …, 2022 - Elsevier
The bending behaviour of systems of straight elastic beams at different scales is investigated
by the well-posed stress-driven nonlocal continuum mechanics. An effective computational …

Timoshenko nonlocal strain gradient nanobeams: variational consistency, exact solutions and carbon nanotube Young moduli

R Barretta, S Ali Faghidian, FM de Sciarra… - Mechanics of …, 2021 - Taylor & Francis
Carbon nanotubes (CNTs) are principal constituents of nanocomposites and nano-systems.
CNT size-dependent response assessment is therefore a topic of current interest in …

On geometrically nonlinear mechanics of nanocomposite beams

MS Vaccaro - International Journal of Engineering Science, 2022 - Elsevier
Nowadays, nanocomposite beams undergoing large displacements are effectively
employed as basic structural components of small-scale electro-mechanical systems, such …

Three-phase homogenization procedure for woven fabric composites reinforced by carbon nanotubes in thermal environment

N Fantuzzi, M Bacciocchi, J Agnelli, D Benedetti - Composite Structures, 2020 - Elsevier
Woven fabric reinforced materials are composite mediums commonly used in automotive
industry. In this sector, high strength mechanical properties are required by the designers …

Nonlocal strain gradient torsion of elastic beams: variational formulation and constitutive boundary conditions

R Barretta, SA Faghidian, F Marotti de Sciarra… - Archive of Applied …, 2020 - Springer
Nonlocal strain gradient continuum mechanics is a methodology widely employed in the
literature to assess size effects in nano-structures. Notwithstanding this, improper higher …

Isogeometric analysis of size-dependent Bernoulli–Euler beam based on a reformulated strain gradient elasticity theory

S Yin, Z **ao, Y Deng, G Zhang, J Liu, S Gu - Computers & Structures, 2021 - Elsevier
In this paper, we present an efficient and accurate numerical approach for static bending
and free vibration analyses of microstructure-dependent Bernoulli-Euler beams. The current …

Vibrations of double-nanorod-systems with defects using nonlocal-integral-surface energy-based formulations

K Kiani, KK Żur - Composite Structures, 2021 - Elsevier
We report suitable surface energy-nonlocal-integral and-differential models for investigating
mechanical behavior of a nanosystem consists of double parallel nanorods with defects. By …

Nonlocal vibration of carbon/boron-nitride nano-hetero-structure in thermal and magnetic fields by means of nonlinear finite element method

HM Sedighi, M Malikan, A Valipour… - … of Computational Design …, 2020 - academic.oup.com
Hybrid nanotubes composed of carbon and boron-nitride nanotubes have manifested as
innovative building blocks to exploit the exceptional features of both structures …