European Journal of Mechanics A-Solids最新文献

{"title":"Single-phase-lag thermoelastic damping in out-of-plane vibrating micro-ring resonators","authors":"Dongfang Shao ,&nbsp;Pu Li ,&nbsp;Yang Liu ,&nbsp;Hongyue Zhou","doi":"10.1016/j.euromechsol.2025.105839","DOIUrl":"10.1016/j.euromechsol.2025.105839","url":null,"abstract":"<div><div>Thermoelastic damping (TED) has been identified as a primary energy dissipation mechanism in micro-resonators operating under vacuum conditions. The precise prediction based on the explicit TED model is crucial for optimizing micro-resonators with high quality factor. In this work, a novel two-dimensional single-phase-lag (2D-SPL) TED model is developed for the micro-ring resonator exhibiting out-of-plane vibration. The proposed model addresses the limitations of classical Fourier-based formulations, enabling more reliable TED predictions under extreme conditions. Initially, in the context of the SPL non-Fourier model, the governing equation of thermoelasticity is derived incorporating heat conduction in both transverse and circumferential directions. Subsequently, the function of fluctuation temperature is resolved using the Galerkin approach. Finally, an analytical 2D-SPL TED model is achieved through the energy-definition method. As emphases, the impacts of the equilibrium temperature, geometric dimensions, vibration frequencies, and mode orders on TED are investigated systematically. The results demonstrate that the SPL non-Fourier effect significantly affects TED at low equilibrium temperatures, high frequencies, and high-order modes. Additionally, the discrepancies among the one- and two-dimensional TED spectra become increasingly pronounced for low ratios of radius to thickness, higher frequencies, and larger mode orders.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105839"},"PeriodicalIF":4.2,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144893479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Atomistic study of phase transformation and plastic behaviors of gradient nanocrystalline NiTi shape memory alloy","authors":"Xiang Zhu ,&nbsp;Shihao Li ,&nbsp;Guansuo Dui ,&nbsp;Qun Li ,&nbsp;Shengyou Yang","doi":"10.1016/j.euromechsol.2025.105838","DOIUrl":"10.1016/j.euromechsol.2025.105838","url":null,"abstract":"<div><div>Enhancing the strength and fatigue resistance of NiTi shape memory alloy (SMA) through grain refinement has become a hot research topic. However, the increase in strength of fine grains will significantly inhibit the phase transformation and reduce the recoverable deformation amplitude. The introduction of gradient grain distribution can simultaneously maintain the strength of fine grains and the ductility of coarse grains. In this study, the phase transformation and plastic deformation behavior of gradient nanocrystalline NiTi SMA are simulated using the molecular dynamics method. The simulation results indicate that the stress-induced phase transformation process in gradient nanocrystalline NiTi SMA is spatially homogeneous, while the gradient-distributed stress at grain boundaries promotes synchronous phase transformation in both fine-grained and coarse-grained regions. Conversely, the temperature-induced phase transformation exhibits localized behavior. The superelastic behaviour of gradient nanocrystalline NiTi exhibits a significant tensile-compressive asymmetry, which is dominated by different types of martensitic variants produced by different loading conditions. Whereas, as the gradient rate increases, the plastic deformation at the grain boundaries decreases and the residual strain decreases. Meanwhile, the increase of gradient rate weakens the resistance to dislocation slip, promotes dislocation proliferation and generates plugging phenomenon, and thus enhances the yield strength. In this study, the microscopic mechanism of gradient nanocrystalline NiTi SMA combining excellent superelasticity and high yield strength is revealed based on atomic scale analysis, and the designability of their mechanical properties is verified by regulating the grain gradient distribution, which provides a theoretical basis for the development of high-performance NiTi SMA.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105838"},"PeriodicalIF":4.2,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144879713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A novel analytical beam formulation and its application on composite wind turbine blades","authors":"Mertol Tüfekci ,&nbsp;Ekrem Tüfekci","doi":"10.1016/j.euromechsol.2025.105832","DOIUrl":"10.1016/j.euromechsol.2025.105832","url":null,"abstract":"<div><div>This paper presents a novel analytical formulation for modelling the mechanics of non-uniform and asymmetrical straight beams made of functionally graded materials (FGMs) and composites. This approach addresses the complexities caused by the asymmetry of the cross-section and those arising from the variations in geometry and material properties along the beam’s axis by approximating these variations as stepped changes. It is assumed that each segment of the beam has constant properties, which are determined through the averaging of functions representing the actual property variations. This method enables efficient and accurate modelling/representation of beam structures such as wind turbine blades. The accuracy and reliability of the analytical model are verified through a comparison with the Technical University of Denmark (DTU) 10 MW reference wind turbine blade, considering two representative load cases (bending, BLC1 and torsional, BLC2) and confirming its ability to accurately predict the structural response. Furthermore, the study assesses the computational performance of the model, demonstrating its efficiency. This study contributes to the literature by providing a robust and computationally efficient approach for the analysis of wind turbine blades.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105832"},"PeriodicalIF":4.2,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144879714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Characterization of AlN in MEMS: Synergistic use of dynamic testing, static profilometry, and an enhanced reduced-order model","authors":"Michele Rosso ,&nbsp;Federico Maspero ,&nbsp;Annachiara Esposito ,&nbsp;Tarek Afifi Afifi ,&nbsp;Manuel Riani ,&nbsp;Gabriele Gattere ,&nbsp;Andrea Di Matteo ,&nbsp;Alberto Corigliano ,&nbsp;Raffaele Ardito","doi":"10.1016/j.euromechsol.2025.105834","DOIUrl":"10.1016/j.euromechsol.2025.105834","url":null,"abstract":"<div><div>This work presents a method for the characterization of piezoelectric MEMS by combining dynamic and static testing with an advanced analytical model. The proposed identification procedure effectively determines the piezoelectric constant through static measurements, while dynamic actuation experiments are employed to extract the dielectric constant and the quality factor. The advanced analytical model is versatile, allowing the methodology to be applied seamlessly to the analysis of both piezoelectric beams and plates. In this study, the procedure is applied to a MEMS cantilever plate equipped with a layer of AlN. The results validate the effectiveness of the proposed methodology, showing strong agreement with values obtained from other approaches in the literature.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105834"},"PeriodicalIF":4.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Corrigendum to “Nonlinear numerical thermoelastic frequency prediction of hybrid smart (SMA bonded) nanocomposite doubly curved structure” [Eur. J. Mech. Solid. 115 (2026) 105831]","authors":"Kulmani Mehar ,&nbsp;Ashish Kumar Sahu ,&nbsp;Naveen Kumar Akkasali ,&nbsp;Subrata Kumar Panda ,&nbsp;Ankur Jaiswal","doi":"10.1016/j.euromechsol.2025.105835","DOIUrl":"10.1016/j.euromechsol.2025.105835","url":null,"abstract":"","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105835"},"PeriodicalIF":4.2,"publicationDate":"2025-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144996381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Simulation of shockless spalling fragmentation using the Discrete Element Method (DEM)","authors":"L. Brémaud ,&nbsp;J. Girardot ,&nbsp;P. Forquin ,&nbsp;F. Malaise","doi":"10.1016/j.euromechsol.2025.105804","DOIUrl":"10.1016/j.euromechsol.2025.105804","url":null,"abstract":"<div><div>In the present study a Discrete Element Method (DEM) is considered to model the dynamic behaviour and fragmentation mechanisms of alumina ceramic under high strain-rate shockless loading. GEPI (high-pulsed power) spalling experiments are simulated. The DEM allows to take into account the accurate propagation and interaction of stress waves within the samples upon calibration of microscopic bond parameters. The results indicate that a standard failure criterion can effectively represent the spalling phenomenon, though discrepancies with experimental data increase at higher strain rates. To address this, the study combines the DEM approach with a damage law, specifically the first and second order Kachanov damage law, to model crack initiation and propagation. Comparative analysis with experimental rear face velocity profiles validates the approach. The strain-rate sensitivity of the present DEM model is explored using loading pulses of increasing intensity that induce different strain-rate levels. This research demonstrates that the DEM approach can effectively model dynamic behaviour in brittle solids leading to a multiple fragmentation sensitive to the strain rate.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105804"},"PeriodicalIF":4.2,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Study on the dynamic response of octet-truss lattice composite sandwich panels on elastic foundations under blast and boundary loading","authors":"Yuan Li ,&nbsp;Fu Yanming ,&nbsp;Dong Li","doi":"10.1016/j.euromechsol.2025.105836","DOIUrl":"10.1016/j.euromechsol.2025.105836","url":null,"abstract":"<div><div>Based on the Von Karman nonlinear theory and high-order shear deformation theory, a theoretical model of composite sandwich panels (CSPs) was established by considering the constitutive relationship of octet-truss lattice structure into sandwich panels for the first time. The motion equations of model were derived by Galerkin method. The dynamic response of octet-truss lattice composite sandwich panels (O-CSPs) on Winkler-Pasternak foundations under blast and boundary loading was studied by numerical method for solving motion equations using the fourth-order Runge-Kutta method. The effects of different geometric parameters, elastic foundation moduli, boundary loading, damping, explosive quality and explosion distances on the dynamic response of O-CSPs were analyzed. Numerical results showed that when the side length ratio increases from 0.5 to 2, the proportion of declining in amplitude changes from 51 % to 79 %. The proportion of rising in amplitude increases from 15 % to 22 % when boundary loading increases from 0 GPa to 0.24 GPa. The amplitude of O-CSPs changes exponentially with the change of the side length and boundary loading. Pasternak foundation has a better effect of suppressing vibration than Winkler foundation. The dynamic response of the equivalent lattice model was analyzed by finite element method to prove the correctness of numerical results. The blast-proof performance of honeycomb CSPs was calculated and compared with the proposed O-CSPs model to verify the superiority of O-CSPs. The results showed that O-CSPs have lower amplitude and stress level than honeycomb CSPs. The conclusions of this paper can provide the reference for the application of O-CSPs in the field of anti-seismic and blast-proof.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105836"},"PeriodicalIF":4.2,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144864573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic modeling and nonlinear vibrations of a rotating poly-crystalline silicon microplate based on the modified couple stress theory","authors":"Guiqin He ,&nbsp;Zhi Li ,&nbsp;Haichao Gui ,&nbsp;Dengqing Cao","doi":"10.1016/j.euromechsol.2025.105833","DOIUrl":"10.1016/j.euromechsol.2025.105833","url":null,"abstract":"<div><div>A novel dynamic modeling method is proposed for a rotating cantilever poly-crystalline silicon microplate which is the core element of the micro-electro-mechanical system in this work. The natural vibration characteristics and complicated nonlinear dynamic responses of the rotating rectangular cantilever microplate are investigated in detail. Considering the nonlinear coupling deformation terms derived from the lateral deformation, the strain energy and kinetic energy of the system are determined by using the modified couple stress theory. The discrete governing equations of the system are derived by employing the Lagrange equations and the Chebyshev polynomials. The accuracy and validity of the present method for the rotating rectangular cantilever microplate are demonstrated by the convergence and comparison studies of the dynamic response and modal characteristics. Finally, the effects of the size-dependency, dimensionless rotational angular velocity and aspect ratio on dynamic properties are investigated through numerical analysis. It is shown that the stiffness of the microplate will change when the size effects are considered, which results in an increase of natural frequency but a decrease of dynamic responses accordingly. Besides, the complex influences of the rotating velocity and the aspect ratio on the dynamic characteristics are discussed in the present work.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105833"},"PeriodicalIF":4.2,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144852668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Vibration and stability of high-speed spinning cantilevered beams with shear deformation effects and an attached rigid body at its tip","authors":"Sam Fallahpasand,&nbsp;Christopher G. Cooley","doi":"10.1016/j.euromechsol.2025.105825","DOIUrl":"10.1016/j.euromechsol.2025.105825","url":null,"abstract":"<div><div>This work investigates the vibration, critical speeds, and high-speed instabilities in shear-deformable beams, spinning about their longitudinal axis, that have a rigid body attached to their tip. A model is derived using Hamilton’s principle. The equations are cast into extended operator form, which exemplifies the system’s gyroscopic structure and facilitates Galerkin discretization for numerical solution. Numerical results are calculated for systems with identical inertia and stiffness properties in the two bending directions (called a symmetric system) and non-identical inertia and stiffness properties in the two bending directions (called an asymmetric system). Both systems have forward and backward orbit vibrations in single-mode, free response. Symmetric systems have material points along the span that move in circular orbits. The orbits become elliptical for asymmetric systems. Symmetric systems have degenerate stationary-system natural frequencies that split for non-zero speeds. All eigenvalues cross, without interaction, as the rotation speed varies. The symmetric system eigenvalues are purely imaginary except at critical speeds. Asymmetric systems, due to their differing inertia and stiffness properties in the two bending directions, have distinct stationary-system eigenvalues, distinct critical speeds, and regions of divergence instability. Because of shear deformation effects, eigenvalue veering occurs when any decreasing forward orbit eigenvalue comes into close proximity with an increasing backward orbit eigenvalue. Within veering regions the modes couple, creating forward orbits in some segments of the beam span and backward orbits in others. Shear deformation effects also lead to flutter instability at high speeds. Atypical instability behavior occurs at high speeds, including immediate transitions between divergence and flutter instability. The results from this work could improve the high-speed performance of resonator devices like MEMS gyroscopes.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105825"},"PeriodicalIF":4.2,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144840853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear numerical thermoelastic frequency prediction of hybrid smart (SMA bonded) nanocomposite doubly curved structure","authors":"Kulmani Mehar ,&nbsp;Ashish Kumar Meher ,&nbsp;Naveen Kumar Akkasali ,&nbsp;Subrata Kumar Panda ,&nbsp;Ankur Jaiswal","doi":"10.1016/j.euromechsol.2025.105831","DOIUrl":"10.1016/j.euromechsol.2025.105831","url":null,"abstract":"<div><div>This research predicted the thermoelastic modal responses of smart nanocomposite structure utilizing two different types of nonlinearities (geometry and material). The structural model is derived mathematically using full form of geometrical nonlinearity (Green-Lagrange) and higher-order kinematics (through thickness and displacement variation is constant). Additionally, an equivalent single-layer theory has been adopted for the formulation and material nonlinearity introduced for shape memory alloy with temperature variation. The desired governing equation is solved numerically using nonlinear finite element steps. Numerical solution accuracy is verified by conducting the mesh refinement test and comparing the results with published domain. A set of numerical analysis are conducted by changing the parameters (material, geometry and environment). The current solution/model efficiencies are discussed in detail.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105831"},"PeriodicalIF":4.2,"publicationDate":"2025-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144828906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}