Article
Mathematics, Applied
Jamal Zare, Alireza Shateri, Yaghoub Tadi Beni, Afshin Ahmadi Nadooshan
Summary: This study explored the stability of curved nanotube shells conveying fluid using a curved coordinate system. The critical circumferential wavenumber was found to be dependent on several factors, such as the radius of curvature, cross-sectional radius, thickness, and size-dependent parameter. The critical circumferential mode number was identified as a key factor in assessing the stability of curved nanoshells conveying fluid, and it was revealed that the divergence velocity does not generally occur at the lowest circumferential mode number.
APPLIED AND COMPUTATIONAL MATHEMATICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Xuping Zhu, Zhangxian Lu, Zhengliang Wang, Lixin Xue, Ali Ebrahimi-Mamaghani
Summary: In this study, the vibration and stability of magnetically embedded spinning axially functionally graded nanotubes conveying fluid were analyzed using the nonlocal strain gradient theory. The influence of material distribution type and size-dependent parameters on the stability of the system was investigated. The findings provide guidance for the modeling and design of nanofluidic systems.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Qiduo Jin, Yiru Ren, Hongyong Jiang, Lizhi Li
Summary: A higher-order size-dependent beam model is developed to study the mechanical behaviors of fluid-conveying tubes in nano scale. Nonlocal stress, strain gradient effects, surface energy effects, slip flow effects are considered in the analysis of flow-inducing post-buckling and free vibration of functionally graded nanotubes. The study also extends the two-step perturbation method to nonlinear analysis and examines the influences of nano effects on post-buckling, natural frequency, and nonlinear vibration of the fluid-conveying nanotubes.
COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Chanachai Thongchom, Pouyan Roodgar Saffari, Peyman Roudgar Saffari, Nima Refahati, Sayan Sirimontree, Suraparb Keawsawasvong, Silvia Titotto
Summary: The article investigates the forced vibration response of two hybrid smart carbon nanotubes conveying a nanofluid. Equations are derived using the Timoshenko beam model and nonlocal strain gradient theory, while slip boundary condition and Knudsen number are employed. The accuracy of the developed procedure is verified through static deflection and vibration frequency comparisons. The research findings are important for the application of nanotubes in drug delivery.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Yikun Wang, Min Tang, Mo Yang, Tao Qin
Summary: This paper investigates the stability and three-dimensional nonlinear dynamics of a cantilevered pipe with internal fluid flow characterized by a harmonic component and a constant mean value. The research presents nonlinear equations of motion for the cantilevered pipe and uses numerical methods to analyze the resulting dynamical responses, revealing a rich variety of behaviors.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Civil
Hossein B. Khaniki, Mergen H. Ghayesh
Summary: This paper presents a novel investigation of nonlinear forced vibrations and internal resonance in nonlocal strain gradient nanoplates. The study comprehensively models the nanoplate structure and discusses the influence of nonlocal and strain gradient parameters on the nonlinear vibration response. Specific combinations of these parameters lead to various types of internal resonance, significantly affecting the nonlinear frequency responses of the nanoplate. This study contributes to the understanding of the complex dynamics of nanoplates and offers valuable insights for the design of diverse nanoplate systems.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Pouyan Roodgar Saffari, Mehran Fakhraie, Mir Abbas Roudbari
Summary: This article provides a comprehensive investigation into the size-dependent free vibration equations of double-walled boron nitride nanotubes in a thermal environment. The motion equations are obtained through the use of nonlocal strain gradient theory and shear deformation theory combined with Hamilton's principle. The Lennard-Jones potential function is used to couple the pair of nanotubes. Softening and hardening effects are also considered. The obtained equations are solved using the differential quadrature method to evaluate the effects of various parameters on the system's eigenfrequency and critical flow velocity.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Physics, Applied
Ye Tang, Tao Wang, Yanchang Zheng
Summary: This paper investigates the thermal effect on wave dispersion characteristics in viscoelastic carbon nanotubes conveying fluid, discussing the influences of various factors on the dispersion relation through numerical simulation and drawing interesting conclusions from the results.
MODERN PHYSICS LETTERS B
(2021)
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
Mechanics
Qiduo Jin, Fuh-Gwo Yuan, Yiru Ren
Summary: Studying the size-dependent nonlinear behavior and stability phenomena of nano-fluid-solid interaction under multi-source excitation is crucial for designing stable nano-electromechanical systems. This study focuses on the combined resonance of nanotubes conveying pulsatile flow under external forced excitation. The effects of curvature and boundary tensile hardening on nonlinear stiffening are investigated, and a modified beam theory is used to model the displacement field accurately. Key parameters related to size-dependency, such as slip-flow, surface effect, and nonlocal stress and strain gradient, are comprehensively studied. The results show that size-dependency not only affects the resonance band and amplitude but also leads to the shift between strong and weak interactions.
Article
Mechanics
Babak Ghanbari, Majid Ghadiri, Hamed SafarPour
Summary: This article investigates the vibration analysis of a double-walled carbon nanotube conveying viscous flow using modified strain gradient theory. The elastic medium is simulated using the visco-Pasternak model, and the force caused by viscous fluid is calculated using modified Navier-Stokes relation. The Gurtin-Murdoch surface elasticity theory is capable of capturing the size-dependent behavior of nanostructures.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Acoustics
Yalda Zarabimanesh, Pouyan Roodgar Saffari, Peyman Roudgar Saffari, Nima Refahati
Summary: The combination of nonlocal strain gradient theory and first-order shear deformation theory provides important capabilities in size-dependent structures. This study focuses on evaluating the free vibration behavior of two vertically aligned boron nitride nanotubes with slip boundary conditions in hygrothermal environments, and numerical studies are performed to depict the effects of various parameters on their dynamic behavior.
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Mechanics
Giovanni Romano, Marina Diaco
Summary: Nonlocal elasticity models are addressed through a general formulation involving source and target fields in dual Hilbert spaces. The focus is on small movements and a geometrically linearized approximation is assumed feasible. The analysis discusses the linear, symmetric, and positive definite relationship between dual fields in the local elastic law, governed by a strictly convex, quadratic energy functional.
Article
Engineering, Mechanical
Xiao-Ye Mao, Jie Jing, Hu Ding, Li-Qun Chen
Summary: This study investigates the effects of gradient Young's modulus on the dynamics of pipes conveying fluid. A model is established to analyze the influence of Young's modulus gradient on the natural characteristics and the non-trivial equilibrium configuration. The results show that the gradually varied Young's modulus leads to an asymmetric non-trivial equilibrium configuration, and increasing gradient can raise the critical fluid velocity and weaken the vibration.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Applied
Pin Lu, Rui Liu
Summary: The study investigates the flexural wave and vibration properties of carbon nanotubes conveying fluid, taking into account the van der Waals interactions. The results suggest significant differences in properties compared to conventional models, providing insights for better understanding and design of nanotube-based nanofluidic channels. The dynamic properties calculated using exact dispersion and eigen equations can also serve as benchmark solutions for validating results from other approximate approaches.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Mergen H. Ghayesh, Ali Farajpour
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2020)
Article
Materials Science, Multidisciplinary
M. R. Farajpour, A. R. Shahidi, A. Hadi, A. Farajpour
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2019)
Article
Engineering, Mechanical
Ali Farajpour, Mergen H. Ghayesh, Hamed Farokhi
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2019)
Article
Mechanics
Hamed Farokhi, Mergen H. Ghayesh
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2019)
Article
Engineering, Electrical & Electronic
Mergen H. Ghayesh, Ali Farajpour
MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS
(2019)
Article
Engineering, Multidisciplinary
Mergen H. Ghayesh, Hamed Farokhi, Ali Farajpour
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2019)
Article
Acoustics
Ali Farajpour, Hamed Farokhi, Mergen H. Ghayesh
JOURNAL OF VIBRATION AND CONTROL
(2019)
Article
Engineering, Electrical & Electronic
Mergen H. Ghayesh, Hamed Farokhi, Ali Farajpour
MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS
(2019)
Article
Engineering, Electrical & Electronic
Ali Farajpour, Mergen H. Ghayesh, Hamed Farokhi
MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS
(2019)
Article
Engineering, Multidisciplinary
Ali Farajpour, Mergen H. Ghayesh, Hamed Farokhi
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2019)
Article
Engineering, Multidisciplinary
Mergen H. Ghayesh, Hamed Farokhi, Ali Farajpour
APPLIED MATHEMATICAL MODELLING
(2019)
Article
Thermodynamics
Hamed Farokhi, Mergen H. Ghayesh
ENERGY CONVERSION AND MANAGEMENT
(2019)
Article
Engineering, Multidisciplinary
Mergen H. Ghayesh, Ali Farajpour, Hamed Farokhi
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2019)
Article
Acoustics
Mergen H. Ghayesh, Hamed Farokhi
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
(2019)
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)