Article
Mathematics, Interdisciplinary Applications
Kostas Parisis, Vlasis Dimosthenis, Leonidas Kouris, Avraam Konstantinidis, Elias C. Aifantis
Summary: This article provides an introductory discussion on the (weakly non-local) gradient generalization of one-dimensional elastic and viscoelastic models, as well as their fractional extension. The possible implications of micro- and nano- engineering problems, including small-scale structural mechanics, composite materials, collagen biomechanics, and nanomaterials, are emphasized.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Multidisciplinary
Raffaele Barretta, Andrea Caporale, Raimondo Luciano, Marzia Sara Vaccaro
Summary: Nonlocal continuum theories are applied to investigate the mechanics of nanobeams under non-smooth fields. The study starts with the general formulation of elasticity in nanobeams based on the abstract form of nonlocal gradient theory. The equivalent differential problem is derived to determine the constitutive law, and the simplest constitutive interface conditions not involving spatial convolutions are established.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Engineering, Multidisciplinary
Yiyuan Jiang, Li Li, Yujin Hu
Summary: A nonlocal surface theory is proposed to describe the interactions between surface and bulk media of nanostructures. The theory considers nonlocal contributions and receptions of surface and divides the nonlocal interactions into four parts: bulk-to-bulk, surface-to-surface, surface-to-bulk, and bulk-to-surface. Results show that the surface-to-bulk nonlocal interactions have the same order of magnitude as the bulk-to-bulk interactions.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2022)
Article
Mechanics
C. Chr Koutsoumaris, K. G. Eptaimeros
Summary: This study explores the analysis of static engineering problems of a nanobeam using nonlocal integral elasticity models. The results show that the integral models exhibit a flexible behavior compared to classic and nonlocal differential models, demonstrating good physical robustness and promising applications in the field of nanomaterials and beyond.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Mechanical
Ali Naderi, Mahmood Fakher, Shahrokh Hosseini-Hashemi
Summary: In this study, the vibration, buckling, and energy harvesting of piezoelectric nanobeams are investigated using a paradox-free nonlocal theory called two-phase local/nonlocal elasticity. The exact solution and a numerical solution are obtained using the governing equations derived from the two-phase elasticity and Hamilton's principle. A comparison study with common differential nonlocal elasticity shows that differential nonlocal theory is incompetent for reliable results in studying piezoelectric-based materials. This study suggests using other nonlocal theories like two-phase local/nonlocal elasticity for analyzing the mechanics of piezoelectric nanostructures.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Engineering, Mechanical
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
Summary: This study introduces a fractional-order continuum mechanics approach that can capture stiffening and softening effects in a stable manner. The method is suitable for static and free vibration analysis, able to simulate the response of Timoshenko beams or Mindlin plates.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Mechanics
Hossein Darban, Raimondo Luciano, Andrea Caporale, Michal Basista
Summary: This paper formulates a novel buckling model for nanobeams resting on the Pasternak elastic foundation based on the local-nonlocal stress-driven gradient elasticity theory. The model accurately predicts the buckling loads and mode shapes of the nanobeams, and captures both stiffening and softening behaviors at small scales.
COMPOSITE STRUCTURES
(2022)
Article
Computer Science, Interdisciplinary Applications
Mahsa Najafi, Isa Ahmadi
Summary: In this paper, an efficient method based on nonlocal elasticity theory and Layerwise theory is proposed for the analysis of bending, buckling, and vibration of functionally graded nanobeam. The method takes into account the transverse shear and normal strains of nanobeam and the small-scale effect. The proposed theory is validated by comparing with other theories and shows accurate results in predicting vibration, buckling, and bending of nanobeams.
ENGINEERING WITH COMPUTERS
(2023)
Article
Materials Science, Multidisciplinary
Yishuang Huang, Peijun Wei, Yuqian Xu, Yueqiu Li
Summary: The study investigates flexural wave propagation in a microbeam using a nonlocal strain gradient model with fractional order derivatives, demonstrating the model's flexibility in capturing dispersive properties. Numerical comparisons with integer order models and molecular dynamic simulations validate the effectiveness of the fractional order nonlocal strain gradient model.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
Article
Mathematics
Doaa Atta, Ahmed E. Abouelregal, Fahad Alsharari
Summary: The small size and clever design of nanoparticles lead to enhanced properties. This research investigates the vibration of a nanobeam under time-varying heat flow and proposes a nonlocal modified thermoelasticity theory to improve its strength.
Article
Mechanics
Kalyan Boyina, Raghu Piska, Sundararajan Natarajan
Summary: A nonlocal strain gradient model is developed for the buckling analysis of functionally graded Euler-Bernoulli beam subjected to thermo-mechanical loads. The governing equations incorporate the effects of nonlocal and strain gradient parameters. Thermal properties over the cross section are graded using the power law. The proposed model compares well with the existing literature in the limiting sense of no nonlocal and gradient effects.
Article
Engineering, Multidisciplinary
Isa Ahmadi
Summary: In this study, a novel formulation based on the meshless method was developed to study the dynamic behavior of 2D functionally graded nanobeams. The predictions of the presented solution were validated with good agreements through comparison with available results in literature, and the effects of various parameters on the normalized natural frequencies of 1D and 2D-FG nanobeams were investigated.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Civil
Masoumeh Soltani, Farzaneh Atoufi, Foudil Mohri, Rossana Dimitri, Francesco Tornabene
Summary: The lateral-torsional buckling behavior of functionally graded non-local beams with a tapered I-section was investigated using an innovative methodology. The study derived governing equations based on nonlocal elasticity theory and energy method, and used the differential quadrature method to determine buckling loads. The research findings can serve as benchmarks for further studies on nanoscale tapered thin-walled beams.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Civil
Zhicheng Yang, Dogus Hurdoganoglu, Saeid Sahmani, Babak Safaei, Airong Liu
Summary: This study investigates the effect of surface stress type and size dependency on the nonlinear in-plane stability characteristics of curved nanobeams. The results show that the inclusion of surface stress leads to larger values of radial load at the first and second bifurcation points, an increased deflection at the first bifurcation point, and a decreased deflection at the second bifurcation point.
ENGINEERING STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Shahin Behdad, Mahmood Fakher, Shahrokh Hosseini-Hashemi
Summary: The study demonstrates that using two-phase local/nonlocal elasticity theory is more suitable for analyzing the dynamic stability and damping vibration of Timoshenko nanobeams subjected to an axial load, compared to the fully nonlocal elasticity theory. This approach allows for studying the size-dependent vibration and stability under various boundary conditions.
MECHANICS OF MATERIALS
(2021)
Article
Mechanics
Danilo Karlicic, Milan Cajic, Tanmoy Chatterjee, Sondipon Adhikari
Summary: This paper investigates the elastic wave propagation, mode veering, and in-plane vibration of pre-stressed hexagonal lattice embedded in an elastic medium and composed of axially loaded Timoshenko beams with attached point masses. The study includes parameter investigation and numerical simulations to determine the frequency band structure and free vibration behavior of the lattice.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
S. Adhikari, D. Karlicic, X. Liu
Summary: The research investigates the free and forced bending vibration of damped nonlocal nano-beams on an elastic foundation, considering two types of nonlocal damping models. A frequency-dependent dynamic finite element method is developed to analyze the forced vibration response. The study reveals that the dynamic stiffness matrix can be defined by six unique coefficients and reduces to well-known special cases under different conditions, with a numerical algorithm suggested for extracting eigenvalues in the undamped case.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Mechanical
Tanmoy Chatterjee, Danilo Karlicic, Sondipon Adhikari, Michael I. Friswell
Summary: This paper characterizes the stochastic dynamic response of periodic structures by accounting for manufacturing variabilities through a probabilistic description of structural material and geometric properties. The proposed GP based approximation scheme is capable of accurately capturing the stochastic dynamic response of systems with different levels of uncertainties, as validated by Monte Carlo simulations.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Engineering, Mechanical
Nikola Nesic, Milan Cajic, Danilo Karlicic, Aleksandar Obradovic, Julijana Simonovic
Summary: This paper investigates the nonlinear dynamic behavior of a nonlocal functionally graded Euler-Bernoulli beam resting on a fractional visco-Pasternak foundation and subjected to harmonic loads. The proposed model captures both the elastic stress gradient field considering the nonlocal parameter and the strain gradient stress field considering the material length scale parameter. The study demonstrates that the application of the incremental harmonic balance method in analyzing nonlocal strain gradient theory-based structures can lead to more reliable studies for strongly nonlinear systems.
NONLINEAR DYNAMICS
(2022)
Article
Mechanics
Shuvajit Mukherjee, Milan Cajic, Danilo Karlicic, Sondipon Adhikari
Summary: This paper introduces a new class of hexagonal and re-entrant lattices with unit cells containing combined straight and curved beams, exhibiting enhanced band-gap properties. The dispersion characteristics and wave directionality of these structures are investigated using the Bloch theorem. The results show that the curvature angle of the constituent curved beams has a significant influence on the dispersion properties and wave direction.
COMPOSITE STRUCTURES
(2023)
Article
Acoustics
Milan Cajic, Danilo Karlicic, Johan Christensen, Sondipon Adhikari
Summary: This study investigates the topological properties of acoustic metamaterials with multiple masses, internal resonators, and inerter elements. By analyzing the winding numbers and signs of band gaps, the topological characteristics of lattice band structures are assessed, along with the effects of embedding inerter elements. The results show that the proposed diatomic-like and triatomic-like mass-in-mass chains can generate multiple interface modes, and the introduction of inerters and local resonators can significantly modify the frequency values of band gaps and interface modes.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Physiology
Zoran Matic, Aleksandar Kalauzi, Maximilian Moser, Mirjana M. Platisa, Mihailo Lazarevic, Tijana Bojic
Summary: This research investigates the influence of different body posture and breathing regimes on cardiorespiratory coupling, specifically focusing on the pulse respiration quotient (PRQ) as a tool to analyze the dynamic modifications. The results show that the linear features of CRC in PRQ signals are highly sensitive to posture and breathing rhythm perturbations. Furthermore, the study suggests that Stand01 state has the potential for PRQ tuning in conditions where PRQ is disturbed.
FRONTIERS IN PHYSIOLOGY
(2022)
Article
Engineering, Multidisciplinary
Danilo Karlicic, Milan Cajic, Stepa Paunovic, Aleksandar Obradovic, Sondipon Adhikari, Johan Christensen
Summary: Non-reciprocal wave propagation has attracted much attention in recent years, and researchers have explored breaking reciprocity using space-and/or time-dependent constitutive material properties to overcome the limitations of conventional mechanical lattices. This study investigates non-reciprocity in elastic locally resonant and phononic-like one-dimensional lattices with time-modulated mass and stiffness properties. The frequency-band structures and asymmetric band gaps are determined for each configuration, and the technique is extended to study more complex two-dimensional lattices.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Mechanical
Tanmoy Chatterjee, Danilo Karlicic, Milan Cajic, Sondipon Adhikari, Michael I. Friswell
Summary: This study investigates the dynamics of one-dimensional inerter-based quasiperiodic lattices and the effects of parametric uncertainty. Multiple edge states are found in the bulk spectrum of the system. The study also shows that parameter variations have significant effects on the Hofstadter-like butterfly, band gaps, edge states, and frequency responses. These findings are important for the design optimization of vibration absorbers and energy harvesters.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Mechanics
Nevena Rosic, Danilo Karlicic, Milan Cajic, Mihailo Lazarevic
Summary: This study investigates the possibility of achieving non-reciprocal wave propagation behavior in phononics using non-reciprocal metamaterials, analyzing and comparing coupled thin beam systems to discover directional band gaps. The proposed framework can be used for further analysis of phononic phenomena in multiple coupled beam systems.
THEORETICAL AND APPLIED MECHANICS
(2022)
Proceedings Paper
Computer Science, Interdisciplinary Applications
Nikola Zivkovic, Jelena Vidakovic, Stefan Mitrovic, Mihailo Lazarevic
Summary: This paper presents a method for implementing a robot forward kinematics algorithm in ROS that adheres to the DH convention. The algorithm is integrated in ROS based on the representation of DH parameters in dual quaternion space. The motivation for this research is to utilize ROS visualization tools while maintaining the principles of DH robot modeling convention.
2022 11TH MEDITERRANEAN CONFERENCE ON EMBEDDED COMPUTING (MECO)
(2022)
Article
Mathematics, Applied
Darko Radojevic, Mihailo Lazarevic
Summary: This paper investigates the finite-time stability of nonlinear neutral multi-term fractional order systems with time-varying input and state delays. New sufficient conditions for finite-time stability are obtained by using the generalized Gronwall inequality and its extended form. Finally, numerical examples are provided to demonstrate the effectiveness and applicability of the proposed theoretical results.
