Nanoparticle Delivery via Stocky SWCNTs, A Nonlinear-Nonlocal Continuum-based Scrutiny
Excellent mechanical properties plus to the good biocompatibility of single-walled carbon nanotubes (SWCNTs) are offering them as efficient nanodevices for delivering of nanoparticles. Due to the friction between the outer surface of the nanoparticle and the inner surface of the SWCNTs, mass weight of the nanoparticle, and the interactional van der Waals (vdW) forces between the constitutive atoms of the nanoparticle and those of the SWCNT, both longitudinal and transverse waves propagate wit...
Nonlinear Vibrations of a Single-walled Carbon Nanotube for Delivering of Nanoparticles
The capability of carbon nanotubes (CNTs) in efficient transporting of drug molecules into the biological cells has been the focus of attention of various scientific disciplines during the past decade. From applied mechanics points of view, translocation of a nanoparticle inside the pore of a CNT would result in vibrations. The true understanding of the interactive forces between the moving nanoparticle and the inner surface of the CNT is a vital step in factual realization of such vibrations...
On the Interaction of a Single-walled Carbon Nanotube with a Moving Nanoparticle Using Nonlocal Rayleigh, Timoshenko, and Higher-order Beam Theories
Interaction of a moving nanoparticle with a single-walled carbon nanotube (SWCNT) is of concern. The SWCNT is simulated by an equivalent continuum structure (ECS) under simply supported boundary conditions. The moving nanoparticle is modeled by a moving point load by considering its full inertial effects and Coulomb friction with the inner surface of the ECS. The ECS under the moving nanoparticle is modeled based on the Rayleigh, Timoshenko, and higher-order beam theories in the context of th...
Nonlocal Continuum-based Modeling of a Nanoplate Subjected to a Moving Nanoparticle. Part I, Theoretical Formulations
The potential applications of nano plates in energy storage, chemical and biological sensors, solar cells, field emission, and transporting of nano cars have been attracted the attentions of the nanotechnology community to them during recent years. Herein, the later application of nano plates from non local elastodynamic point of view is of interest. To this end, dynamic response of a nano plate subjected to a moving nano particle is examined with in the context of non local continuum theory ...
Revisiting Free Transverse Vibration of Embedded Single-layer Graphene Sheets Acted Upon by an in-plane Magnetic Field
Abstract Murmu et al. [23] recently presented a nonlocal model for the transverse vibration of simply supported graphene sheets in the presence of a unidirectional in-plane magnetic field. Further studies showed that the majority of Lorentz's force components were improperly provided and led to invalid governing equations. To remove such deficiencies, the most general form of Lorentz's force components is carefully extracted in the present work. The nonlocal equations of motion of the problem...
Prediction of the penetrated rust into the microcracks of concrete caused by reinforcement corrosion
Consider a steel-rust-concrete composite consisting of a circular cylindrical concrete cover and a coaxial uniformly corroding steel reinforcement. Prediction of the amount of rust penetrated into the microcracks of concrete cover from a set of data measured at the surface of the concrete is of particular interest. The steel is assumed to be linear isotropic and rust follows a power law stress–strain relation. For the concrete, anisotropic behavior and post-cracking softening model is emplo...
Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle. Part II: parametric study
The capabilities of the proposed nonlocal beam models in the companion paper in capturing the critical velocity of a moving nanoparticle as well as the dynamic response of double-walled carbon nanotubes (DWCNTs) under a moving nanoparticle are scrutinized in some detail. The role of the small-scale effect parameter, slenderness of DWCNTs and velocity of the moving nanoparticle on dynamic deflections and nonlocal bending moments of the innermost and outermost tubes as well as their maximum val...
Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle, Part I, theoretical formulations
The current work suggests mathematical models for the vibration of double-walled carbon nanotubes (DWCNTs) subjected to a moving nanoparticle by using nonlocal classical and shear deformable beam theories. The van der Waals interaction forces between atoms of the innermost and outermost tubes are modeled by an elastic layer. The equations of motion are derived for the nonlocal double body Euler–Bernoulli, Timoshenko and higher-order beams connected by a flexible layer under excitation of a ...
Free longitudinal vibration of tapered nanowires in the context of nonlocal continuum theory via a perturbation technique
The free longitudinal vibration of tapered nanowires is investigated in the context of nonlocal continuum theory. The problem is studied for the nanowires with linearly varied radii under fixed–fixed and fixed–free boundary conditions. In order to assess the problem in a more general form, a perturbation technique is proposed based on the Fredholm alternative theorem. The natural frequencies, corresponding mode shapes, and phase velocities of the tapered nanowires are derived analytically...
A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect
A single-walled nanotube structure embedded in an elastic matrix is simulated by the nonlocal Euler–Bernoulli, Timoshenko, and higher order beams. The beams are assumed to be elastically supported and attached to continuous lateral and rotational springs to take into account the effects of the surrounding matrix. The discrete equations of motion associated with free transverse vibration of each model are established in the context of the nonlocal continuum mechanics of Eringen using Hamilto...
Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method
Dynamic response of multispan viscoelastic thin beams subjected to a moving mass is studied by an efficient numerical method in some detail. To this end, the unknown parameters of the problem are discretized in spatial domain using generalized moving least square method (GMLSM) and then, discrete equations of motion based on Lagrange’s equation are obtained. Maximum deflection and bending moments are considered as the important design parameters. The design parameter spectra in terms of mas...
A model for the evolution of concrete deterioration due to reinforcement corrosion
One of the most crucial factors affecting the service life of reinforced concrete (RC) structures attacked by aggressive ions is reinforcement corrosion. As the steel corrosion progresses, crack propagation in concrete medium endangers the serviceability and the strength of RC structural members. In this study, a nonlinear mathematical model for determining the displacement and stress fields in RC structures subjected to reinforcement corrosion is introduced. For corrosion products, a nonline...
Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories
Dynamic analysis of nanotube structures under excitation of a moving nanoparticle is carried out using nonlocal continuum theory of Eringen. To this end, the nanotube structure is modeled by an equivalent continuum structure (ECS) according to the nonlocal Euler–Bernoulli, Timoshenko and higher order beam theories. The nondimensional equations of motion of the nonlocal beams acted upon by a moving nanoparticle are then established. Analytical solutions of the problem are presented for simpl...
Longitudinal and transverse vibration of a single-walled carbon nanotube subjected to a moving nanoparticle accounting for both nonlocal and inertial effects
Single-walled carbon nanotubes (SWCNTs) can be promising delivery nanodevices for a diverse range of applications, however, little is known about their dynamical interactions with moving nanoscale particles. In this paper, dynamic response of a SWCNT subjected to a moving nanoparticle is examined in the framework of the nonlocal continuum theory of Eringen. The inertial effects of the moving nanoparticle and the existing friction between the nanoparticle surface and the inner surface of the S...
Prediction capabilities of classical and shear deformable beam models excited by a moving mass
In this paper, a comprehensive assessment of design parameters for various beam theories subjected to a moving mass is investigated under different boundary conditions. The design parameters are adopted as the maximum dynamic deflection and bending moment of the beam. To this end, discrete equations of motion for classical Euler–Bernoulli, Timoshenko and higher-order beams under a moving mass are derived based on Hamilton's principle. The reproducing kernel particle method (RKPM) and extend...