Article
Mathematics, Applied
Mustafa Arda, Metin Aydogdu
Summary: The paper investigates the flexural dynamics of carbon nanotubes under a longitudinal magnetic field using a nonlocal strain gradient model, taking into account the effects of Lorentz force and nonlocal strain gradient parameters on the vibration response of the nanobeam. The study shows that the softening nonlocal strain gradient model provides physically consistent results and that the magnetic field effect shifts the mode shapes of the nanobeam. The research could be useful for designing magnetically actuated nanomotors.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(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
Physics, Multidisciplinary
R. Ansari, S. Nesarhosseini, M. Faraji Oskouie, H. Rouhi
Summary: A size-dependent Bernoulli-Euler beam model for buckling analysis of piezoelectric nanobeams considering flexoelectricity influence is presented, utilizing stress-driven nonlocal theory to capture size effects. The nanobeams are assumed to be embedded in an elastic medium, and governing equations including nonlocal and flexoelectricity effects are obtained using a variational approach. The study also proposes a numerical solution approach for calculating buckling loads of piezoelectric nanobeams with different boundary conditions, and investigates the effects of flexoelectricity, nanoscale, and elastic foundation on buckling behavior through numerical examples.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Engineering, Mechanical
Ahmed E. Abouelregal, Hamid Mohammad-Sedighi, Seyed Ali Faghidian, Ali Heidari Shirazi
Summary: This article investigates the influence of thermal conductivity on the dynamics of a rotating nanobeam using nonlocal thermoelasticity theory. Analytic solutions for bending moment, deflection, and temperature are obtained through the Laplace transform procedure. The study highlights the strong dependence of physical fields on nonlocal parameters, changes in thermal conductivity, rotation speed, and mechanical loads, emphasizing the importance of considering these effects in the manufacturing process of precise/intelligent machines and devices.
FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING
(2021)
Article
Chemistry, Multidisciplinary
Daniela Scorza, Sabrina Vantadori, Raimondo Luciano
Summary: This study extends the two-phase stress-driven integral model to nanobeams with internal discontinuities, addressing the issue by introducing a mixture parameter. The analysis of various case studies and a centrally-cracked nanobeam demonstrates the strong dependency of fracture properties on characteristic length and mixture parameter values.
Article
Engineering, Multidisciplinary
Xiaoxia Ma, Keivan Kiani
Summary: By utilizing nonlocal continuum mechanics, the buckling characteristics of nanobeams are analyzed. Nonlocal beam models and deformation equations are established and a Galerkin-based meshless approach is used to evaluate the critical buckling response. For the first time, the spatial nonlocal buckling behavior of nanobeams is examined and the significant role of nonlocality and shear deformation is discussed.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
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
Mathematics, Applied
Ahmed E. E. Abouelregal, Marin Marin, Sameh S. S. Askar
Summary: This paper introduces the size-dependent modeling and investigation of the transverse vibrational behavior of rotating thermoelastic nanobeams using nonlocal elasticity theory. A model of thermal conductivity with two-phase delays (DPL) is utilized, taking into account microstructural influences. The state-space approach and Laplace transform approach are employed to solve the governing equations developed in the context of the nonlocal Eringen model. It is revealed how coefficients such as rotational angular velocity, nonlocal coefficient, voltage, electrical resistance, and applied magnetic field influence the behavior of the nanobeam.
BOUNDARY VALUE PROBLEMS
(2023)
Article
Engineering, Civil
Xuejie Yue, Xuezheng Yue, Vahid Borjalilou
Summary: This study establishes a comprehensive model to analyze the size-dependent thermoelastic vibrations of Timoshenko nanobeams, highlighting the significant role of nonclassical scale parameters in accurate analysis. The findings suggest that the nonclassical model can capture both stiffness softening and stiffness enhancement characteristic of small-sized structures.
ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING
(2021)
Article
Thermodynamics
Ahmed M. H. Yahya, Ahmed E. Abouelregal, K. M. Khalil, Doaa Atta
Summary: Recent research focuses on nonlocal elasticity and modified couple stress theories, predicting the size effect and micron scale dependence. New equations governing these theories, including moments and couple stress elasticity, are used in analyzing nanobeams under periodic pulse heating. Variable thermal conductivity, centrifugal force, and couple stress effects on field variables are visually presented and analyzed.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Physics, Multidisciplinary
Hamid M. Sedighi, Ahmed E. Abouelregal, S. Ali Faghidian
Summary: This study investigates the deficiency of the modified couple stress theory in accurately describing the material response of continua with nano-structural features. By reassessing the flexure mechanics of nano-scale beams within this theory, physically motivated constitutive laws are introduced and the effects of symmetric rotation gradients and transverse shear deformation are examined. Additionally, closed-form analytical formulae for the elastic modulus of Carbon Nanotubes are derived and the applicability of the modified couple stress beam model in accurately capturing size-effects in nano-materials is rigorously examined.
Article
Mechanics
Andrea Caporale, Raimondo Luciano, Daniela Scorza, Sabrina Vantadori
Summary: Exact closed-form solutions for multi-cracked Euler-Bernoulli nanobeams are provided through two equivalent approaches. Both approaches involve integral and differential equations for modeling the nanobeams with isolated damaged sections. The first approach uses the integral definition of a local-nonlocal stress-driven model, while the second approach shows that this integral definition is equivalent to a differential equation with constitutive boundary conditions. Both approaches yield the same solution, but the second approach is computationally faster. Interesting results show that local beams have a jump in rotation at the damaged sections, while pure nonlocal nanobeams do not have such singularity.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
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
Mechanics
Daniela Scorza, Raimondo Luciano, Sabrina Vantadori
Summary: The study analyzes the size-dependent fracture behavior of stressed nanobeams using the two-phase local/nonlocal Stress-Driven integral Model (SDM), showing that nanobeams have superior fracture performance compared to large-scale beams.
COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
R. Barretta, S. Ali Faghidian, F. Marotti de Sciarra, F. P. Pinnola
Summary: In the study of carbon nanotubes (CNTs), a nonlocal strain gradient approach was used to model CNTs and predict their reduced Young elastic modulus, which was validated through molecular dynamics simulations.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Mechanics
Francesco P. Pinnola, Marzia S. Vaccaro, Raffaele Barretta, Francesco Marotti de Sciarra
Summary: This study investigates the stochastic flexural vibrations of small-scale Bernoulli-Euler beams with external damping using stress-driven nonlocal mechanics. Damping effects are simulated by considering viscous interactions between the beam and its surrounding environment. Loadings are modeled by accounting for their random nature, providing a comprehensive description of the beam's dynamic behavior.
Article
Engineering, Multidisciplinary
Andrea Francesco Russillo, Giuseppe Failla, Gioacchino Alotta, Francesco Marotti de Sciarra, Raffaele Barretta
Summary: Size-dependent dynamic responses of small-size frames are modeled and evaluated using stress-driven non-local elasticity and a consistent finite-element methodology. The exact dynamic stiffness matrix is evaluated for a two-node stress-driven nonlocal beam element, and a global dynamic stiffness matrix for an arbitrarily-shaped small-size frame is built using standard finite-element assembly procedures. The methodology is suitable for investigating free vibrations of small-size systems in Nano-Engineering.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Mathematics, Applied
Raffaele Barretta, Marko Canadija, Francesco Marotti de Sciarra, Ante Skoblar, Roberto Zigulic
Summary: This article assesses eigenfrequencies of nanobeams under axial loads using stress-driven nonlocal model (SDM) and strain-driven two-phase local/nonlocal model (StrainTPM) of elasticity and Bernoulli-Euler kinematics. The study compares eigenfrequencies calculated using SDM with those obtained by StrainTPM and other nonlocal outcomes, while analyzing the influence of nonlocal thermoelastic effects and initial axial force on dynamic responses.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Chemistry, Multidisciplinary
Marzia Sara Vaccaro, Francesco Paolo Pinnola, Francesco Marotti de Sciarra, Raffaele Barretta
Summary: The study introduces a new nonlocal approach by swapping the input and output fields involved in the original formulation of Wieghardt, using a displacement-driven nonlocal integral strategy to overcome inherent difficulties and issues. This new approach simplifies the integrodifferential equations governing the elastostatic problem of an inflected elastic slender beam, and involves kinematic, static, and new constitutive boundary conditions.
Article
Materials Science, Multidisciplinary
Filip Nikolic, Ivan Stajduhar, Marko Canadija
Summary: This study explores using convolutional neural networks to determine secondary dendrite arm spacing with high prediction accuracy. The CNN model was trained and tested on different alloy samples, showing that it can be used in industry to determine SDAS values accurately.
Article
Chemistry, Multidisciplinary
Marzia Sara Vaccaro, Francesco Paolo Pinnola, Francesco Marotti de Sciarra, Raffaele Barretta
Summary: The dynamic behavior of micro- and nano-beams is investigated using nonlocal continuum mechanics, with size effects modeled by expressing elastic curvatures in terms of stress-driven local and nonlocal phases. Relevant nonlocal equations of motion for slender beams are formulated and integrated using an analytical approach. The presented strategy is applied to simple case problems of nanotechnological interest, and the validation of the proposed nonlocal methodology is provided by comparing natural frequencies with those obtained by the classical strain gradient model of elasticity. Overall, the outcomes obtained can be useful for the design and optimization of micro- and nano-electro-mechanical systems (M/NEMS).
Article
Mathematics
Francesco Paolo Pinnola, Raffaele Barretta, Francesco Marotti de Sciarra, Antonina Pirrotta
Summary: This paper proposes a consistent nonlocal viscoelastic beam model and investigates a Timoshenko bending problem considering size- and time-dependent effects. A stress-driven nonlocal formulation is used to inspect scale phenomena, and fractional linear viscoelasticity is considered to simulate time-dependent effects. Analytical solutions and application samples are presented, and parametric analyses are provided to show influences of viscoelastic and size effects on mechanical response.
Article
Metallurgy & Metallurgical Engineering
Filip Nikolic, Ivan Stajduhar, Marko Canadija
Summary: This research focuses on using convolutional neural networks (CNNs) to detect porosity defects in aluminum alloys. Through training and testing with various aluminum alloy samples, the proposed custom CNN model demonstrates accurate prediction of porosity defects with a classification accuracy of 94%.
INTERNATIONAL JOURNAL OF METALCASTING
(2023)
Article
Computer Science, Artificial Intelligence
Valentina Kosmerl, Ivan Stajduhar, Marko Canadija
Summary: Artificial neural networks were used to predict stress-strain curves for carbon nanotubes of different configurations. The study compared three model architectures and found that they can accurately and quickly predict the curves, capturing even the smallest variations caused by thermal fluctuations. A sensitivity analysis revealed that the diameter and temperature are the most important parameters affecting the exclusion or prediction of thermal fluctuations.
NEURAL COMPUTING & APPLICATIONS
(2022)
Article
Chemistry, Multidisciplinary
Raffaele Barretta, Marko Canadija, Francesco Marotti de Sciarra, Ante Skoblar
Summary: Eigenfrequencies of a nanobeam interacting with a heavy fluid and point mass were calculated using Bernoulli-Euler kinematics and nonlocal elasticity model. The study compared the frequencies with local theory, analyzed the influence of nonlocal effects, heavy fluid interaction, and added point mass on dynamic responses, and discussed size phenomena.
Article
Engineering, Multidisciplinary
Raffaele Barretta, Marko Canadija, Raimondo Luciano, Francesco Marotti de Sciarra
Summary: This study solves the problem of nanobeams on nano-foundations by improving the Eringen-Wieghardt integral elasticity theory. The effectiveness of the proposed nonlocal approach is demonstrated through analytical solutions of beam-soil systems simulating nanocomposites and biological cells.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2022)
Article
Nanoscience & Nanotechnology
Marzia S. Vaccaro, Francesco P. Pinnola, Francesco Marotti de Sciarra, Marko Canadija, Raffaele Barretta
Summary: This research investigates the size-dependent static behavior of elastic curved stubby beams using Timoshenko kinematics and stress-driven two-phase integral elasticity. The corresponding governing equations of nonlocal elasticity are established, non-classical boundary conditions are detected, and an effective coordinate-free solution procedure is proposed. The presented mixture approach is elucidated by solving simple curved small-scale beams, contributing to the design and optimization of modern sensors and actuators.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART N-JOURNAL OF NANOMATERIALS NANOENGINEERING AND NANOSYSTEMS
(2021)
Article
Mechanics
Alireza Enferadi, Majid Baniassadi, Mostafa Baghani
Summary: This study presents the design and analysis of an SMP microvalve, where the thermomechanical response of the SMP is investigated using a nonlinear constitutive model that incorporates hyperelasticity and viscoelasticity. The model accounts for fluid-solid interaction and heat transfer in both fluid and solid physics. Numerical simulations are carried out to examine the important characteristics of the SMP valve. The results demonstrate the significance of employing fluid-solid interaction conjugated heat transfer analysis for the efficient development of microvalves in diverse applications.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hridya P. Lal, B. R. Abhiram, Debraj Ghosh
Summary: Higher-order elasticity theories are used to model mechanics at the nanoscale, but the length-scale parameters in these theories need to be evaluated through experiments or MD simulations. This study shows that the length-scale parameter in the modified strain gradient theory varies with dimensions, boundary conditions, and deformation level for carbon and boron nitride nanotubes. To address this issue, a supervised ML-based framework is developed, combining MD simulations, continuum formulation, and ML to predict the length-scale parameter for a given material, dimension, and boundary condition. This predictive tool reduces the need for expensive MD simulations and opens up possibilities for applying non-classical continuum theories to nanoscale mechanics problems.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Geng Chen, Shengzhen Xin, Lele Zhang, Min Chen, Christian Gebhardt
Summary: This paper develops a multiscale numerical approach to predict the failure probability of additive manufacturing (AM) structures subjected to time-varied loadings. The approach combines statistical homogenization, shakedown analyses, and reliability methods to consider the influence of microstructural features on load bearing capacity. Through case studies on exemplary structures and different material randomness assumptions, the robustness of the results is confirmed and the mechanism of how micropores influence structural reliability is explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Guillaume Cadet, Manuel Paredes
Summary: This study proposes a comprehensive solution for calculating the stress field on the surface of a curved beam with a circular cross section, which is crucial for probabilistic fatigue life analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hongshi Ruan, Xiaozhe Ju, Junjun Chen, Lihua Liang, Yangjian Xu
Summary: This paper proposes a data-driven approach to improve the efficiency of computational homogenization for nonlinear hyperelastic materials. By combining clustering analysis, Proper Orthogonal Decomposition (POD), and efficient sampling, a reduced order model is established to accurately predict elastoplasticity under monotonic loadings. The numerical results show a significant acceleration factor compared to a purely POD-based model, which greatly improves the applicability for structural analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Pep Espanol, Mark Thachuk, J. A. de la Torre
Summary: The motion of a rigid body, described by Euler's equations in Classical Mechanics, assumes that the distances between constituent particles are fixed. However, real bodies cannot meet this assumption due to thermal fluctuations. In order to incorporate dissipative and thermal fluctuation effects into the description, a generalization of Euler's equations is proposed. This theory explains the origin of these effects as internal, rather than caused by an external thermal bath, and derives the stochastic differential equations governing the body's orientation and central moments.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Prateek Chandrakar, Narayan Sharma, Dipak Kumar Maiti
Summary: The current study focuses on the deterioration in thermal buckling performance of variable angle tow laminated (VATL) plates caused by damages in various composite and damage characteristics. Through numerical simulations and surrogate models, it was found that damages reduce the sensitivity of composite properties to buckling response, and a distinctive pattern of buckling response was observed when composite properties vary.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Liangteng Guo, Shaoyu Zhao, Jie Yang, Sritawat Kitipornchai
Summary: This study introduces composites reinforced with graphene origami nanofillers into functionally graded multilayered phononic crystals. Numerical investigations reveal that these materials possess negative Poisson's ratio and offer unique mechanical properties, which can be tuned by adjusting the weight fraction and hydrogen coverage of the graphene fillers.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Kai Li, Haiyang Wu, Yufeng Liu, Yuntong Dai, Yong Yu
Summary: This paper presents a novel self-oscillating liquid crystal elastomer fiber-beam system that can sway continuously and periodically under steady illumination. The governing equations of the system are established and the self-swaying process and motion mechanism are described in detail. Numerical results show the system undergoes supercritical Hopf bifurcation and the effects of system parameters on the self-swaying amplitude and frequency are discussed quantitatively.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Lingkang Zhao, Peijun Wei, Yueqiu Li
Summary: This paper proposes a spatial-temporal fractional order model to study the dynamic behavior of thermoelastic nanoplates in a thermal environment. The model provides a flexible approach to describe the small-scale effects and complex history-dependent effects. Analytical and numerical methods verify the reliability of the model, and the effects of parameters on the dynamic response are discussed.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
A. N. O'Connor, P. G. Mongan, N. P. O'Dowd
Summary: This research presents an autonomous framework that combines Bayesian optimization and finite element analysis to identify ductile damage model parameters. The framework has been successfully applied to P91 material datasets and demonstrates the impact of algorithm hyperparameters on the resulting non-unique ductile damage parameters.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
S. V. Sorokin, S. Lenci
Summary: This paper reconsiders the nonlinear coupling between flexural and longitudinal vibrations of ideally straight elastic beams, using a nonlinear theory of curved beams and employing class-consistent boundary conditions. A paradoxical difference in the nonlinear parts of the Duffing equations obtained in the limit of vanishing curvature and in the case of an ideally straight beam is demonstrated and explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Hari Manoj Simha
Summary: Dynamic Mode Decomposition (DMD) can be used to construct deformation fields for linear solids without making constitutive assumptions or knowing material properties. It operates on time-shifted data matrices and selects dominant modes using singular value decomposition. DMD can be used for reconstructing displacement states in elastic solids and identifying the onset of plasticity in elastic-plastic solids.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Ren, K. F. Wang, B. L. Wang
Summary: An electromechanical model is established to investigate the characteristics of a bilayer structure consisting of a piezoelectric semiconductor film and an elastic substrate. The combined effects of piezoelectricity and flexoelectricity are considered, and closed-form expressions for the distributions of electron concentrations and relevant electromechanical fields are obtained. The effects of interfacial parameter, flexoelectricity, and initial carrier concentration are discussed. The research highlights the importance of the interfacial parameter and the weakening effect of flexoelectricity on the imperfect interface of the bilayer system.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Yu Sun, Qiang Han, Chunlei Li
Summary: This paper presents the design of a tunable functionally graded metamaterial beam for flexural wave attenuation through the integration of a piezomagnetic shunt damping system and an inertial amplification mechanism. The proposed system demonstrates tunable and strong wave attenuation capability through local resonance and energy consumption. The theoretical and numerical results verify that the system can achieve significant wave attenuation at defined frequencies and also be optimized for maximal attenuation at various frequency ranges.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
