Anne-Sophie Caro , André Chrysochoos , Sarah Iaquinta , Grégory Chagnon
{"title":"Modeling of nonlinear viscoelasticity and stress softening in soft tissues","authors":"Anne-Sophie Caro , André Chrysochoos , Sarah Iaquinta , Grégory Chagnon","doi":"10.1016/j.euromechsol.2025.105818","DOIUrl":"10.1016/j.euromechsol.2025.105818","url":null,"abstract":"<div><div>This paper deals with the mechanical behavior of soft living tissues under load-unload and relaxation cyclic strains. It proposes a thermodynamic model formulated within the Generalized Standard Materials framework that incorporates both Mullins’ effect and viscoelasticity, integrating the history dependent behavior of the material under finite strain. A key innovation lies in the use of a common softening function to modulate both the hyperelastic and viscous components, capturing history-dependent behavior more accurately. Viscous parameters are adjusted based on the loading history via the maximum strain invariant. Numerical implementation is validated against uniaxial tensile tests on porcine perineal tissues and a global Sobol sensitivity analysis confirms that elastic, viscous, and Mullins-related parameters are identifiable from different phases of the loading protocol. This model provides a unified, thermodynamical consistent tool for simulating soft tissue mechanics.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105818"},"PeriodicalIF":4.2,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144902862","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 vibration analysis of nonlocal fractional viscoelastic piezoelectric nanobeams incorporating surface effects","authors":"Liyuan Wang, Nan Chong, Dongxia Lei, Zhiying Ou","doi":"10.1016/j.euromechsol.2025.105840","DOIUrl":"10.1016/j.euromechsol.2025.105840","url":null,"abstract":"<div><div>In this article, the nonlinear vibration responses of fractional viscoelastic piezoelectric nanobeams are investigated by incorporating the surface elasticity theory and nonlocal theory. The analysis is conducted under the framework of the Euler-Bernoulli beam theory and geometric nonlinear assumptions introduced by von Kármán. It is assumed that the normal stress within the nanobeam varies linearly with its thickness. To begin with, the nonlinear governing equations and corresponding boundary conditions are derived using the Hamiltonian principle. These equations, initially expressed as partial differential, are then converted into ordinary differential equations using the Galerkin method. The resulting time-dependent system of equations is subsequently analyzed using the predictor-corrector method. The study examines the nonlinear vibration behavior of aluminum and silicon fractional viscoelastic piezoelectric nanobeams under the influence of surface effect, nonlocal theory, and an applied piezoelectric field. By varying parameters such as the piezoelectric field voltage, the nanobeam's aspect ratio, fractional order, and nonlocal parameter, the analysis reveals how these factors influence the system's vibration characteristics. The results show that when the Young's modulus of the nanobeam is small, the surface effect significantly impacts the nonlinear frequency. Additionally, increasing the length of the nanobeam and applying a negative voltage to the piezoelectric field lead to an increase in the nonlinear frequency.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105840"},"PeriodicalIF":4.2,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144902861","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 parametric vibration and stability analysis of axially moving belt with non-homogeneous boundaries","authors":"Yanan Li , Jieyu Ding , Hu Ding , Liqun Chen","doi":"10.1016/j.euromechsol.2025.105837","DOIUrl":"10.1016/j.euromechsol.2025.105837","url":null,"abstract":"<div><div>In belt-driven systems constrained by rotating wheels, the interaction between the moving belt and wheel curvature produces non-homogeneous boundary conditions. Moreover, axial velocity fluctuations induce time-dependent excitation, leading to dynamic instability and deteriorated vibratory performance. In this paper, the nonlinear parametric vibration characteristics of axially moving belts with non-homogeneous boundary is studied for the first time. Furthermore, the dynamic behavior of the moving belt with non-homogeneous boundaries is strongly influenced by wheel radii and shear deformation. Therefore, the moving belt is modeled based on Timoshenko beam theory. The instability boundary and the resonant amplitude-frequency response relationship in the steady state are established. The approximate analytical results are verified by the numerical methods. Interestingly, the steady-state parametric resonance response of the moving belt under non-homogeneous boundary conditions exhibits softening nonlinear characteristics. Comparative analysis with the Euler-Bernoulli beam model reveals the critical role of shear deformation and rotary inertia. Moreover, the time-varying axial velocity and the asymmetrical boundaries caused by different wheel sizes will enhance the effects of shear deformation and rotational inertia. Increased geometric symmetry enhances the softening behavior of the nonlinear response. Variations in wheel radius significantly influence both the stability threshold and vibration amplitude. Furthermore, higher length-height ratios and axial velocities amplify the sensitivity to perturbations. These findings underscore the necessity of including shear and rotary effects in modeling axially moving systems with spatially varying boundary conditions and velocity-dependent dynamics.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105837"},"PeriodicalIF":4.2,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144893478","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":"Single-phase-lag thermoelastic damping in out-of-plane vibrating micro-ring resonators","authors":"Dongfang Shao , Pu Li , Yang Liu , 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}
Xiang Zhu , Shihao Li , Guansuo Dui , Qun Li , Shengyou Yang
{"title":"Atomistic study of phase transformation and plastic behaviors of gradient nanocrystalline NiTi shape memory alloy","authors":"Xiang Zhu , Shihao Li , Guansuo Dui , Qun Li , 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 , 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}
Michele Rosso , Federico Maspero , Annachiara Esposito , Tarek Afifi Afifi , Manuel Riani , Gabriele Gattere , Andrea Di Matteo , Alberto Corigliano , Raffaele Ardito
{"title":"Characterization of AlN in MEMS: Synergistic use of dynamic testing, static profilometry, and an enhanced reduced-order model","authors":"Michele Rosso , Federico Maspero , Annachiara Esposito , Tarek Afifi Afifi , Manuel Riani , Gabriele Gattere , Andrea Di Matteo , Alberto Corigliano , 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}
L. Brémaud , J. Girardot , P. Forquin , F. Malaise
{"title":"Simulation of shockless spalling fragmentation using the Discrete Element Method (DEM)","authors":"L. Brémaud , J. Girardot , P. Forquin , 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 , Fu Yanming , 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}