Article
Physics, Multidisciplinary
Lizhi Li, Yiru Ren, Qiduo Jin
Summary: Piezoelectric structures are being increasingly researched for potential applications in aerospace, and this study focuses on analyzing the low-velocity impact behaviors and bending stress field of piezoelectric nanobeams with a functionally graded material (FGM) core. The research modifies the constitutive model considering the mechanical-electric coupling effect and investigates the contact force, midspan displacement, and bending stress field between pre-buckled and post-buckled piezoelectric laminated nanobeams. The numerical results reveal the influence of post-buckling deformation induced by the external electric field on the stiffness of piezoelectric laminated beams and analyze the impact responses influenced by electromechanical coupling.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Computer Science, Interdisciplinary Applications
Alireza Gholipour, Mergen H. Ghayesh, Shahid Hussain
Summary: In this article, a coupled continuum viscoelastic model for Timoshenko nonlocal strain gradient theory-based nanobeams is developed and solved using a finite difference analysis. The model incorporates the viscosity of the nanobeams and considers the ultrasmall size influences and rotary inertia. The energy dissipation is formulated via negative work and the coupled continuum viscoelastic dynamic model is solved using a finite difference analysis for nonlinear mechanics.
ENGINEERING WITH COMPUTERS
(2022)
Article
Nanoscience & Nanotechnology
Abdelhakim Bouhadra, Abderrahmane Menasria, Mohamed Ali Rachedi
Summary: This paper investigates the buckling behavior of functionally graded nanobeam based on high order shear deformation beams theory, using two different types of porous distribution materials. The governing equations are derived using the principle of virtual work, and analytical resolutions for FG nanobeam buckling are introduced under two different boundary conditions.
ADVANCES IN NANO RESEARCH
(2021)
Article
Mechanics
Mohamed-Ouejdi Belarbi, Mohammed-Sid-Ahmed Houari, Ahmed Amine Daikh, Aman Garg, Tarek Merzouki, H. D. Chalak, Hicham Hirane
Summary: An efficient nonlocal finite element model was developed to study the bending and buckling behavior of functionally graded nanobeams. The new theory provides accurate transverse shear stress distribution without the need for correction factors, showing high accuracy and convergence rate. Detailed numerical studies validated the performance and reliability of the proposed model.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Yongan Ren, Ruili Huo, Ding Zhou
Summary: This paper investigates the buckling analysis of non-uniform steel columns with various boundary conditions under localised fire based on the Timoshenko beam theory. The temperature-dependent material properties are considered. The temperature field in the column is determined using the differential quadrature method, and a segmented model is presented to solve the stability problem. The critical buckling load and buckling mode are obtained using the transfer-matrix method.
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
Mechanics
Armagan Karamanli
Summary: This paper presents a comprehensive study on bending, vibration and buckling behaviors of zigzag and armchair nanobeams using a finite element model. Various boundary conditions and parameters were investigated to understand the effects on the nanobeams' displacements, natural frequencies and buckling loads. New results were provided for future reference.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Civil
Camilo J. Fernandez-Escobar, Carlos A. Vega-Posada, Edwin F. Garcia-Aristizabal
Summary: This article focuses on investigating the influence of shear deformation and its interaction with the surrounding soil in short, rigid, and large-diameter piles. Through a parametric study using SAP2000 software, it is found that the deflection and rotation of the pile head significantly increase when considering shear deformation, with the most significant effect observed at low values of the pile/soil stiffness ratio.
ENGINEERING STRUCTURES
(2023)
Article
Mathematics, Applied
Pham Toan Thang, T. Nguyen-Thoi, Jaehong Lee
Summary: The main goal of this research paper is to model and analyze bidirectional functionally graded nanobeams using the Timoshenko beam theory and nonlocal strain gradient theory. The study focuses on understanding mechanical behavior, calculating important parameters, and formulating equilibrium and stability equations for a detailed investigation. Specific examples are presented to verify the proposed solution, and the influences of material properties and nonlocal parameter on critical buckling load and transverse deflection are examined.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Rajendran Selvamani, Francesco Tornabene, Dumitru Baleanu
Summary: The present study investigates the two phase local/nonlocal deformation and dynamics of thermo electrical composite nanobeam reinforced with graphene oxide powder (GOP). The results highlight the significant effects of GOP weight fraction, two phase parameter, external electric voltage, and temperature difference on the frequency of the composite beam.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Nanoscience & Nanotechnology
Hina Arif, Jaan Lellep
Summary: In this study, the material behavior of cantilever nanobeams under axial pressure was modeled using nonlocal elasticity theory. It was found that crack parameters significantly affect the stability of stepped nanobeams. Numerical results using MATLAB tools were found to closely match existing literature.
APPLIED NANOSCIENCE
(2022)
Article
Mathematics, Applied
Hayri Metin Numanoglu, Hakan Ersoy, Bekir Akgoz, Omer Civalek
Summary: This study investigates the size-dependent thermo-mechanical vibration analysis of nanobeams by implementing Hamilton's principle and the stress equation of nonlocal elasticity theory. The finite element method is used to solve the eigenvalue problem and derive stiffness and mass matrices. Nonlocal finite element method is emphasized for analyzing the vibration behavior of nanobeams under different boundary conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Engineering, Multidisciplinary
Isa Ahmadi
Summary: This study investigates the free vibration of a multiple-nanobeam system under various edge boundary conditions and the number of coupled nanobeams. The Eringen's nonlocal elasticity theory is used to take into account the size effect, and the governing equations of the coupled beams are obtained using the Timoshenko beam theory. A meshless formulation is presented to discretize the equations into a set of ordinary differential equations in the time domain. The accuracy of the results is confirmed by comparing them with available analytical results in the literature, showing good agreement. The numerical results present the free vibration frequencies and mode shapes of the multiple-nanobeam system under various edge boundary conditions, and investigate the effects of parameters such as coupling stiffness, nonlocal parameters, and number of nanobeams. This method is useful for analyzing multiple-nanobeam systems with arbitrary number of nanobeams, arbitrary boundary conditions, coupling stiffness, and length to thickness ratio.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Mechanics
Hai Qing, Yuxiao Cai
Summary: This study investigates the nonlinear post-buckling behavior of a nanobeam under different boundary conditions using strain- and stress-driven two-phase local/nonlocal integral models. The study takes into account Von Karman nonlinearity and derives the nonlinear governing equations through the principle of minimum potential energy. Numerical solutions are obtained for linear and nonlinear buckling forces and buckling mode shapes.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Nanoscience & Nanotechnology
Mojtaba Gorji Azandariani, Mohammad Gholami, Akbar Nikzad
Summary: This paper investigates the non-linear static analysis of Timoshenko nanobeams consisting of bi-directional functionally graded material (BFGM) with immovable ends. The nonlocal theory and Hamilton principle are used to determine the governing equations, which are then solved using the differential quadrature method (DQM) and direct iterative method. The study finds that the nonlocal factors, beam length, and material property gradient have significant impacts on the non-linear static deflection of the nanobeam.
ADVANCES IN NANO RESEARCH
(2022)
Article
Thermodynamics
M. E. Golmakani, Mohammad Malikan, S. Golshani Pour, Victor A. Eremeyev
Summary: In this paper, the bending analysis of rectangular functionally graded nanoplates under a uniform transverse load was studied based on the modified couple stress theory. The effects of aspect ratio, thickness-to-length ratio, boundary conditions, transverse load, and length scale parameter on the plates were investigated.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Mechanics
Mohammad Malikan, Victor A. Eremeyev
Summary: We investigate the time-dependent thermoelastic coupling in the free vibrations of piezomagnetic microbeams considering the flexomagnetic effect. The flexomagneticity is related to a magnetic field with a strain gradient. By employing the generalized thermoelasticity theory and strain gradient approach, we obtain analytical solutions and provide graphical illustrations of variations in important physical quantities. Our study reveals that the flexomagnetic effect can be significant if the material has high thermal conductivity or the heat source has a short thermal relaxation time. This theoretical study paves the way for further research on magneto-thermoelastic small-scale piezo-flexomagnetic structures based on heat conduction models.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Mohammad Malikan, Victor A. Eremeyev
Summary: This study introduces a new approach to address micro-mechanic problems using the modified couple stress theory. The model considers micro-particles' rotations, which are crucial for microstructural materials and small scales. While the framework is suitable for static situations, it is necessary to consider micro-rotations' mass inertias for dynamic investigations. The solution methods are validated using numerical models, highlighting the importance of static and dynamic length scale parameters in studying microstructure vibrations.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Editorial Material
Mechanics
Anil Misra, Francois Hild, Victor A. Eremeyev
MECHANICS RESEARCH COMMUNICATIONS
(2023)
Article
Mathematics, Applied
Victor A. Eremeyev
Summary: In this paper, we discuss the well-posedness of the first boundary-value problem in the linear Toupin-Mindlin strain gradient elasticity, which refers to a boundary-value problem with Dirichlet-type boundary conditions on the entire boundary. For an isotropic material, we formulate necessary and sufficient conditions that guarantee the existence and uniqueness of a weak solution. These conditions are less restrictive compared to those obtained from the positive definiteness of the deformation energy.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Mathematics, Applied
Victor A. Eremeyev, Daria Scerrato, Violetta Konopinska-Zmyslowska
Summary: This paper discusses the ellipticity property in linear couple-stress elasticity. Within this theory, a deformation energy density is introduced as a function of strains and gradient of macrorotations, where the latter are expressed through displacements. The couple-stress theory can then be treated as a particular class of strain gradient elasticity. However, applying the classic definitions of ordinary and strong ellipticity to static equations of the couple-stress theory, it is concluded that these equations are neither elliptic nor strongly elliptic. Therefore, caution should be taken when extending the properties of full strain gradient models to models with incomplete set of second derivatives.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Chemistry, Physical
Anatoly M. M. Bragov, Andrey K. K. Lomunov, Mikhail E. E. Gonov, Aleksandr Yu. Konstantinov, Leonid A. A. Igumnov, Victor A. A. Eremeyev
Summary: We discuss the deformation and destruction of fine-grained concrete B22.5 under dynamic loading through experimental and numerical studies. Experimental data is used to identify the dynamic component of two models in the LS-DYNA computational complex. The results show that the experimental strain rate dependences can significantly improve the predictive ability of the model.
Article
Engineering, Multidisciplinary
Shahriar Dastjerdi, Omer Civalek, Mohammad Malikan, Bekir Akgoz
Summary: This research focuses on analyzing rotating truncated conical baskets reinforced by carbon nanotubes around two independent axes. A time-dependent analysis is used to extract the nonlinear dynamic governing equations for the structure. Carbon nanotubes are used to reinforce the conical basket, with different distributions impacting the mechanical properties. The resistance of a novel two-axis rotating conical basket as a centrifuge device is investigated at various rotational velocities. The results show that reinforcing the basket with carbon nanotubes increases its resistance against deformation caused by rotation.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Engineering, Multidisciplinary
Mohammad Malikan, Shahriar Dastjerdi, Victor A. Eremeyev, Hamid M. Sedighi
Summary: Smart composites are used in electro-mechanical systems and can exhibit advanced properties such as piezoelectricity and flexoelectricity. However, there is a lack of evaluation in three-dimensional (3D) elasticity analysis when the flexomagnetic effect exists in these composites. This study addresses this issue and demonstrates the importance of conducting 3D mechanical analyses.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Mechanics
F. dell'Isola, V. A. Eremeyev, V. A. Korolenko, Y. O. Solyaev
Summary: This article investigates the deformation of an initially spherical elastic body, considering the influence of the gradient of displacements on the deformation energy. By applying radial dead loads along the equator of the sphere, the analysis focuses on a specific case of second gradient continua. Unlike in first gradient continua, it is shown that these forces do not cause infinite displacement, but instead, the displacements are finite, as demonstrated using a series method for the boundary-value problem. Therefore, there is no formation of an edge at the material points where the forces are applied in the deformed configuration.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Thermodynamics
Wolfgang H. Mueller, Victor A. Eremeyev
Summary: This article presents a review of the recent workshop on Micropolar Continua and beyond, held from March 28-31, 2023, at Technische University of Berlin, Germany.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Engineering, Multidisciplinary
Igor Berinskii, Victor A. Eremeyev
Summary: This study discusses the dynamics of a relatively simple origami-inspired structure using discrete and continuum models. The continuum model, derived from the discrete model, accurately captures the behavior of origami structures, which is important for determining material properties and conducting nondestructive evaluations.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
