Article
Mechanics
Y. G. Wang, W. L. Ma, X. F. Li
Summary: The free in-plane flexural vibration of an L-shaped nanostructure is studied using the nonlocal beam theory. The size-dependent mechanical properties of nanostructures are described by the nonlocal elasticity. By deriving the characteristic equation and numerically calculating the natural frequencies, it is found that considering the nonlocal effect reduces the natural frequencies. Additionally, the validity of the characteristic equation for classical L-shaped flexible structures is confirmed.
Article
Mathematics, Applied
Narayan Das, Soumen De, Nantu Sarkar
Summary: The propagation of plane thermoelastic waves in a homogeneous isotropic nonlocal thermoelastic solid is investigated using the Lord-Shulman model of generalized thermoelasticity and the Eringen's model of nonlocal elasticity. It is found that the waves are dispersive and attenuating in nature due to the presence of nonlocality in the medium. Both longitudinal waves and shear-type wave are influenced by the nonlocality, but the shear-type wave is independent of the thermal effect.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2022)
Article
Engineering, Multidisciplinary
Baljeet Singh
Summary: This study focuses on the size-dependent theoretical modeling of coupled phenomena between deformation and mass diffusion. The theory of nonlocal elasticity is applied to investigate the propagation of plane waves in linear and isotropic diffusive elastic materials. The effects of elastic and diffusive nonlocal parameters on the speeds, reflection coefficients, and energy ratios of plane waves are graphically illustrated using a numerical example.
APPLIED MATHEMATICAL MODELLING
(2022)
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
Materials Science, Multidisciplinary
Chenlin Li, Huili Guo, Xiaogeng Tian, Tianhu He
Summary: This paper discusses the diffusion and diffusion-induced stresses of Li-ions in rapid charging of batteries, proposing a size-dependent diffusion-elasticity model with consideration of spatial nonlocal effects. The model is applied to study the dynamic responses of a thick nanoplate under transient concentration loads, demonstrating its effectiveness in addressing the issues caused by instantaneous concentration changes.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Polymer Science
Alessandro Pontefisso, Matteo Pastrello, Michele Zappalorto
Summary: This paper provides an analytical solution for stress fields near radiused notches in thick orthotropic plates under shear loading and twisting. The three-dimensional theory of elasticity is reduced to two uncoupled equations in two-dimensional space. The accuracy of the 3D stress field solution for orthotropic plates with radiused notches is discussed by comparing theoretical results and numerical data from 3D FE analyses. The proposed solution can effectively characterize the stress field in plates made with polymeric composite materials.
Article
Mechanics
Dinesh Kumar Sharma, Prakash Chand Thakur, Nantu Sarkar
Summary: This paper investigates the free vibrations of a thermoelastic hollow sphere with voids under the conditions of dual-phase-lag generalized thermoelasticity and Erigen's nonlocal elasticity. The frequency relation is obtained using numerical iteration technique with the help of MATLAB, and the analytical results are presented graphically. The frequency shift and the thermoelastic damping with and without voids are analyzed and presented graphically for various cases of interest.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Zheng Lyu, Hu Liu
Summary: This study proposes a novel nanosensor for the detection of nanoparticles by combining functionally graded porous (FGP) core with piezo-electro-magnetic (PEM) layers. The sensitivity performance of the sensor is analyzed through a theoretical model and the natural frequency shift behavior is investigated. The results show that combining PEM surface and FGP core can significantly improve the sensitivity of the nanosensor. The sandwich design strategy proposed in this study is highly valuable for designing high-performance nanosensors in biomedical and industrial applications.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2023)
Article
Mechanics
Farshad Khosravi, Seyyed Amirhosein Hosseini
Summary: This article investigates the forced and free dynamic torsional vibrations of single-walled carbon nanotubes embedded in a viscoelastic medium under a harmonic external torque. It introduces Eringen's nonlocal elasticity to consider the small size effect of nanostructures. The governing equation is simplified to an ordinary differential equation using the Galerkin method in the time domain. The study explores the effects of various parameters on the angular displacement, including the nonlocal parameter, damping ratio, damping coefficient, stiffness of the viscoelastic medium, excitation frequency, geometry, and mass moment of inertia. The results are validated using a finite difference method and compared with a previous study.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
B. L. Wang, J. E. Li
Summary: This paper solves the problem of a rigid line inclusion in a nonlocal elastic medium. Two special inclusion orientations are considered, and the two-dimensional stress and strain field as well as the effective mechanical property of the medium with inclusion are obtained. The nonlocal effect leads to significantly smaller stresses near the tips of the inclusion compared to those based on classic continuum mechanics.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Mathematics, Applied
Ali Koochi, Masoud Goharimanesh, Mohammad Reza Gharib
Summary: This paper investigates the electromagnetic dynamic instability of a doubly clamped CNT-based nano-sensor considering external magnetic field, structural damping, and van der Waals force. The results show that the magnetic flux has a significant impact on the nano-sensor's dynamic instability voltage.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Engineering, Mechanical
Dinesh Kumar Sharma, Mitali Bachher, Mahesh Kumar Sharma, Nantu Sarkar
Summary: This study investigates the free vibrations of non-homogenous axisymmetric nonlocal thermoelastic hollow sphere, assuming power law grading in the radial direction. The differential equations are solved using continued power series to obtain analytical solutions for temperature, stress, and displacement field functions. The numerical results are validated against analytical solutions through MATLAB, and are graphically presented for comparison of frequency shift and thermoelastic damping between local and nonlocal elastic materials, with deductions validated against existing literature.
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
(2021)
Article
Optics
Yong-Hui Zhang, Li-Yan Tang, Jun-Yi Zhang, Ting-Yun Shi
Summary: A series of magic wavelengths for the forbidden transition in helium have been determined through large-scale relativistic configuration interaction calculations, with considerations for finite nuclear mass, relativistic, and QED effects. The measurement of the 1335.55(2)-nm magic wavelength could potentially serve as a test for atomic structure theory.
Article
Mechanics
Sita Ram Sharma, Jai Chand Mehalwal, Nantu Sarkar, Dinesh Kumar Sharma
Summary: This study addresses the free vibrations of a transversely isotropic nonlocal electro-magneto thermoelastic hollow cylinder with voids, employing analytical and numerical methods to investigate the effects of magnetic fields on thermal insulation and temperature change. The results are validated with existing literature and may have potential applications in various fields such as seismology, mining, and lightweight armor.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Chemistry, Physical
Maria Anna De Rosa, Maria Lippiello, Enrico Babilio, Carla Ceraldi
Summary: This study investigates the free vibration of a tapered beam modeling nonuniform single-walled carbon nanotubes, using the differential quadrature method (DQM) to calculate natural frequencies and validating the accuracy through numerical examples. The results show excellent agreement with exact solutions, demonstrating that DQM is a simple and powerful tool for analyzing the free vibration of carbon nanocones with general boundary conditions where closed-form solutions are not available.
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
Engineering, Civil
Sudip Chowdhury, Arnab Banerjee, Sondipon Adhikari
Summary: This paper studies the optimal design of inertial amplifier base isolators (IABI) for mitigating the dynamic response of multi-storey buildings under base excitations. The H-2 optimization method is used to obtain closed-form expressions for the optimal design parameters of IABI. The effectiveness of these expressions is evaluated by comparing the frequency and time domain responses of isolated structures to those of uncontrolled structures. The results show that the response reduction capacity of the optimal inertial amplifier base isolator is increased by 50% to 60% compared to traditional base isolators.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Instruments & Instrumentation
A. Singh, T. Mukhopadhyay, S. Adhikari, B. Bhattacharya
Summary: This paper proposes a novel hybrid lattice structure that allows contactless active modulation of Young's modulus and Poisson's ratio. By incorporating magnetostrictive patches, the mechanical properties of the lattice structure can be controlled remotely using a magnetic field. The study reveals that extreme on-demand modulation of Young's modulus and Poisson's ratio is achievable by controlling the magnetic field.
SMART MATERIALS AND STRUCTURES
(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
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
Sudip Chowdhury, Arnab Banerjee, Sondipon Adhikari
Summary: This paper introduces a method of combining negative stiffness devices with inerters to traditional base isolators and tuned mass dampers. The optimal design parameters of these novel passive vibration dampers are derived using H2 and H & INFIN; optimization methods. The results show that the optimized negative stiffness inerter-based base isolators and tuned mass dampers outperform traditional base isolators and tuned mass dampers in terms of dynamic response reduction capacity.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Acoustics
Sudip Chowdhury, Arnab Banerjee, Sondipon Adhikari
Summary: This paper introduces the inertial amplifier viscoelastic tuned mass dampers (IAVTMD) and presents the mathematical formulations for optimal design parameters. The dynamic response reduction capacity of IAVTMD is significantly superior to conventional tuned mass dampers, with an improvement ranging from 20.87% to 26.47% for H-2 optimization and 15.48% for H-8 optimization. In addition, the optimized IAVTMD outperforms tuned mass damper inerters (TMDI) with improved dynamic response reduction capacity by 6.94% for H-2 optimization and 23.29% for H-8 optimization. The closed-form expressions for optimal design parameters are effective for practical applications.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mechanics
Sudip Chowdhury, Arnab Banerjee, Sondipon Adhikari
Summary: This article introduces the concepts of additional inerter-based viscoelastic mass dampers (AIVMD) and additional viscoelastic mass damper inerters (AVMDI). H-2 and H-infinity optimization schemes are used to derive the optimal closed-form solutions for these dampers analytically. A parametric study is conducted to investigate the sensitivity of the optimal design parameters with other system parameters. The results suggest that higher damper mass ratio, inerter mass ratio, and stiffness ratio are recommended for designing optimal novel dampers with robust vibration reduction capacities.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Civil
Sudip Chowdhury, Arnab Banerjee, Sondipon Adhikari
Summary: This paper introduces the design of negative stiffness inerter-based base isolators, which enhance the dynamic response reduction capacity of conventional base isolators by installing negative stiffness devices and inerters. These novel isolators have been installed at the base of multi-storey buildings to mitigate their dynamic responses during vibration.
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)
Article
Engineering, Mechanical
Rosaria Del Toro, Maria Laura De Bellis, Marcello Vasta, Andrea Bacigalupo
Summary: This article presents a multifield asymptotic homogenization scheme for analyzing Bloch wave propagation in non-standard thermoelastic periodic materials. The proposed method derives microscale field equations, solves recursive differential problems within the unit cell, establishes a down-scaling relation, and obtains average field equations. The effectiveness of this approach is validated by comparing dispersion curves with those from the Floquet-Bloch theory.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Yue Bao, Zhengcheng Yao, Yue Zhang, Xueman Hu, Xiandong Liu, Yingchun Shan, Tian He
Summary: This paper proposes a novel triple-gradient phononic acoustic black hole (ABH) beam that strategically manipulates multiple gradients to enhance its performance. The study reveals that the ABH effect is not solely brought about by the thickness gradient, but also extends to the power-law gradients in density and modulus. The synergistic development of three different gradient effects leads to more pronounced and broader bandgaps in PCs.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Matthias Ryser, Jason Steffen, Bekim Berisha, Markus Bambach
Summary: This study investigates the feasibility of replacing complex experiments with multiple simpler ones to determine the anisotropic yielding behavior of sheet metal. The results show that parameter identifiability and accuracy can be achieved by combining multiple specimen geometries and orientations, enhancing the understanding of the yield behavior.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Wenjun Li, Pengfei Zhang, Siyong Yang, Shenling Cai, Kai Feng
Summary: This study presents a novel two-dimensional non-contact platform based on Near-field Acoustic Levitation (NFAL), which can realize both one-dimensional and two-dimensional transportation. Numerical and experimental results prove the feasibility and ease of this method.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Shuo Liu, Lu Che, Guodong Fang, Jun Liang
Summary: This study presents a novel lamina conjugated bond-based peridynamic (BB-PD) model that overcomes the limitations of material properties and is applicable to composite laminates with different stacking sequences. The accuracy and applicability of the model are validated through simulations of elastic deformation and progressive damage behavior, providing an explanation of the damage modes and failure mechanisms of laminated composite materials subjected to uniaxial loading.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Omar El-Khatib, S. Kumar, Wesley J. Cantwell, Andreas Schiffer
Summary: Sandwich-structured honeycombs (SSHCs) are hierarchical structures with enhanced mass-specific properties. A model capable of predicting the elastic properties of hexagonal SSHCs is presented, showing superior in-plane elastic and shear moduli compared to traditional honeycombs, while the out-of-plane shear moduli are reduced.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Zhi-Jian Li, Hong-Liang Dai, Yuan Yao, Jing-Ling Liu
Summary: This paper proposes a process-performance prediction model for estimating the yield strength and ultimate tensile strength of metallic parts fabricated by powder bed fusion additive manufacturing. The effect of main process variables on the mechanical performance of printed metallic parts is analyzed and the results can serve as a guideline for improvement. The accuracy of the proposed model is validated by comparison with literature.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Saman A. Bapir, Kawa M. A. Manmi, Rostam K. Saeed, Abdolrahman Dadvand
Summary: This study numerically investigates the behavior of an ultrasonically driven gas bubble between two parallel rigid circular walls with a cylindrical micro-indentation in one wall. The primary objective is to determine the conditions that facilitate the removal of particulate contamination from the indentation using the bubble jet. The study found that the bubble jet can effectively remove contamination from the indentation for certain ranges of indentation diameter, but becomes less effective for larger indentation diameters.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
E. Polyzos, E. Vereroudakis, S. Malefaki, D. Vlassopoulos, D. Van Hemelrijck, L. Pyl
Summary: This research investigates the elastic and damage characteristics of individual composite beads used in 3D printed composites. A new analytical probabilistic progressive damage model (PPDM) is introduced to capture the elastic and damage attributes of these beads. Experimental results show strong agreement with the model in terms of elastic behavior and ultimate strength and strain.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
