Article
Acoustics
Jiayin Dai, Yongshou Liu, Guojun Tong
Summary: This article investigated the wave propagation characteristics of functionally graded nanotubes, finding that a smaller exponent n in the volume fraction function leads to a better system performance. Additionally, there is a positive correlation between stability and both temperature variation and nonuniformity of temperature variation.
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Mathematics
Olga Martin
Summary: This paper proposes a scheme for solving the amplitudes of forced oscillations of a nano-structure conveying fluid, which can obtain numerical results faster and more accurately.
MATHEMATICAL MODELLING AND ANALYSIS
(2023)
Article
Nanoscience & Nanotechnology
Akintoye O. Oyelade, Julius O. Ehigie, Ayo A. Oyediran
Summary: This study investigates the nonlinear mechanical behavior of a slightly curved tube conveying pressurized fluid under thermal loading and forced vibration, using different methods to solve the problem. Results show that the initial curvature has a profound effect on the resonance of the system, providing valuable insights for the study of microtube systems.
MICROFLUIDICS AND NANOFLUIDICS
(2021)
Article
Mechanics
Cancan Liu, Jiangong Yu, Bo Zhang, Xianhui Wang, Xiaoming Zhang, Huiduan Zhang
Summary: This paper investigates the complete guided waves in nonlocal piezoelectric nanoplates, taking into account the size-dependent and piezoelectric effect. The Legendre polynomial method based on stress and electric displacement expansion is proposed to obtain the complete dispersion curves in the complex domain, and the effects of nonlocality and piezoelectricity on propagative and evanescent waves are discussed.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Mathematics, Applied
Li Zhang, Wan-Tong Li
Summary: This paper focuses on the critical wave speed and traveling wave fronts for a general anisotropic nonlocal dispersal equation with delayed nonlocal response, where both the dispersal kernel function and the nonlocal response function are asymmetric. By analyzing the properties of eigenfunctions, the sign of the critical wave speed and the influence of the asymmetry on the critical wave speed are discussed. The existence of nondecreasing traveling wave solutions and the asymptotic behavior of the traveling wave and its derivative are obtained under certain conditions.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Engineering, Civil
Liyang Zhao, Xiongwei Yang, Jixiao Wang, Yijun Chai, Yueming Li, Chunming Wang
Summary: This paper proposes an improved frequency-domain SEM (IFSEM) method for analyzing nonuniform fluid-conveying pipes by introducing structural wave propagation. The IFSEM method obtains the wave propagation coefficients in advance through simplification, which has the characteristics of efficient and accurate vibration analysis.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Mechanical
O. D. Donato Angulo, C. Eloy, A. Cros
Summary: This work focuses on characterizing and modeling the stable states that appear in air-conveying soft tubes. By studying the lengths and angles of three segments in the zig-zag shapes, we are able to understand and reproduce these surprising stable states using a model of three articulated straight rigid tubes.
JOURNAL OF FLUIDS AND STRUCTURES
(2022)
Article
Thermodynamics
Seung-Bum Kim, Joonchul Shin, Hyun-Soo Kim, Dong-Gyu Lee, Jong-Chan Park, Jeong Min Baik, Soo Young Kim, Chong-Yun Kang, Wonjoon Choi, Hyun-Cheol Song, Sunghoon Hur
Summary: This paper proposes an advanced design of a hybrid energy harvester that combines piezoelectricity and thermoelectricity to achieve a higher power generation. By using a piezoelectric cantilever beam and leveraging oscillation-induced heat dissipation, temperature gradients are increased to prevent thermal saturation and sustain thermoelectric power generation.
ENERGY CONVERSION AND MANAGEMENT
(2023)
Article
Mathematics, Applied
Nian Wang, Jinfeng Wang, Yang Liu, Hong Li
Summary: This article presents the fully discrete local discontinuous Galerkin (LDG) method for numerically solving a class of nonlocal viscous water wave model. The BDF2 with the L1 formula of the time Caputo fractional derivative is used for the time direction, and the LDG method is used for the space direction approximation. The stability of the fully discrete LDG scheme is proven, and a detailed a priori error result with 3 O (τ 2 + hk+12 ) in L2-norm is derived. Numerical examples supporting the theoretical error result are provided, and the decay rates under different coefficients are also discussed.
APPLIED NUMERICAL MATHEMATICS
(2023)
Article
Energy & Fuels
Shao-En Chen, Fu-Ting Pan, Ray-Yeng Yang, Chia-Che Wu
Summary: The study developed a multiphysics system integration and modeling method, which includes hydrodynamic, kinematic, and electromechanical models. They also developed a one-way plucking-driven piezoelectric wave energy harvester (OPDPWEH) consisting of a floating cylindrical buoy, a frequency up-conversion mechanism based on a one-way bearing, and a piezoelectric component based on an array of piezoelectric bulk composite cantilever beams. Experimental results showed that at a wave amplitude of 50 mm and a wave period of 1 s, the RMS voltage was 4.47 V and the average power was 0.4 mW.
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
Mechanics
Tomasz Szmidt, Robert Konowrocki, Dominik Pisarski
Summary: The article investigates the stabilization of a cantilever pipe discharging fluid using electromagnetic actuators, showing that the overall effect of the actuators is positive: the critical flow velocity is increased and the post-critical vibrations are reduced. The study combines theoretical analysis with experimental validation to explore the non-linear effects of the electromagnetic actuators on the pipe's dynamics.
Article
Mathematics
Xiaodong Wang, Jianping Wu, Yazi Wang, Can Chen
Summary: This study extends the modified tanh-function approach for local soliton equations to a nonlocal complex mKdV equation, using the solution of the Riccati equation to replace the tanh function. It explores new traveling wave solutions for the nonlocal complex mKdV equation and presents exciting diagrams showing the dynamics of given solutions.
Article
Mechanics
J. Gahleitner, J. Schoeftner
Summary: This study focuses on the computation of the Airy stress function for functionally graded beam-type structures under transverse and shear loads. The proposed method, originally derived from Boley's method, is successfully applied to validate the theory with finite element results in a cantilever made of isotropic, functionally graded material. The analytical and numerical results show perfect agreement.
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
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)