European Journal of Mechanics A-Solids最新文献

{"title":"Cyclic responses and prediction of martensitic steel with hierarchical lath subjected to universal creep-fatigue loading","authors":"Pei-Shan Ding ,&nbsp;Tian-Shu Cai ,&nbsp;Xiao-Tao Zheng ,&nbsp;Peng Zhao","doi":"10.1016/j.euromechsol.2025.105890","DOIUrl":"10.1016/j.euromechsol.2025.105890","url":null,"abstract":"<div><div>The creep-ratcheting responses of advanced 9–12 %Cr steel with hierarchical martensitic lath structure at 600 °C considering the stress ratio of 0.1, 0.3, 0.5, 0.7, 0.9 and 1, as well as different peak holding times are researched. Mechanical responses during creep-ratcheting process including the corresponding anelastic creep recovery and primary creep regeneration, and creep-fatigue fracture and deformation mechanisms are analyzed. Results show that the anelastic recovery and the maximum primary creep regeneration remain nearly constant throughout the entire lifetime, irrespective of peak holding time. However, both of them decrease almost linearly with increasing the stress ratio. Additionally, the creep-ratcheting deformation and rupture mechanism become closer to that of static creep when the stress ratio grows up, judging from the observations of fracture morphology and dislocation patterns. Notably, the creep-fatigue damage accelerates approximately near the half-lifetime for various cases. Moreover, a unified creep-ratcheting superposition constitutive model coupled with continuum damage mechanics introducing the effects of stress ratio and peak holding time is proposed. Validation results demonstrate that the evolutions of creep-ratcheting deformation as well as the corresponding ratcheting and creep components disintegrated from the total creep-ratcheting strain can be predicted with very good accuracy, which is helpful to elucidate the creep-fatigue interaction during the whole lifetime under creep-fatigue conditions.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105890"},"PeriodicalIF":4.2,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158679","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":"Highly efficient prediction of beating phenomena in laminated nanocomposite plates using a hybrid neural–numerical–analytical framework","authors":"Duc Tien Nguyen ,&nbsp;Nguyen Duc Manh ,&nbsp;Nguyen Manh Dzung ,&nbsp;Dinh Gia Ninh","doi":"10.1016/j.euromechsol.2025.105844","DOIUrl":"10.1016/j.euromechsol.2025.105844","url":null,"abstract":"<div><div>Beating phenomena arise when the natural frequencies of a system closely match the frequency of an external excitation, leading to undesirable oscillations and structural fatigue in aerospace, civil, and mechanical engineering. Accurate and efficient prediction of the beating behaviors is critical for ensuring safety, reliability, and optimized design in lightweight multifunctional materials. This study proposes a surrogate hybrid neural–analytical framework to efficiently and effectively predict the beating response of functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) plates subjected to harmonic excitation. The plates rest on a Winkler–Pasternak elastic foundation and exhibit temperature-dependent material properties. The framework integrates a neural network trained to predict natural frequencies with an analytical vibration model that computes displacement responses as functions of predicted frequencies, time, and applied harmonic forces. A large dataset of natural frequencies is generated via nonlinear investigation based on von Kármán–Donnell plate theory, accounting for geometric nonlinearity, thermal effects, material gradation, and foundation stiffness. To capture the influence of discrete design parameters, categorical encodings are employed for different GPL distribution patterns and elastic foundation types. This encoding strategy enables the network to accurately predict natural frequencies across a wide range of design configurations. Multiple network architectures are evaluated to identify the optimal balance between complexity and performance. The resulting surrogate model achieves near-analytical accuracy while reducing computational cost by approximately 107 times. Sensitivity analyses further reveal how geometric, material, thermal, and foundation parameters affect the onset and characteristics of beating. The proposed framework offers a powerful tool for rapid design iteration, optimization, and real-time vibration analysis of advanced composite structures.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105844"},"PeriodicalIF":4.2,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158681","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":"Spinodal metamaterials optimization based on genetic algorithm: Controlling mechanical anisotropy via dimensionless Cahn-Hilliard equation","authors":"B. Mandolesi,&nbsp;C. Iandiorio,&nbsp;V.G. Belardi,&nbsp;F. Vivio","doi":"10.1016/j.euromechsol.2025.105881","DOIUrl":"10.1016/j.euromechsol.2025.105881","url":null,"abstract":"<div><div>Additive manufacturing (AM) has shifted radically the design of metamaterials by enabling the fabrication of complex architectures with tailored anisotropic properties. While periodic lattice structures have been extensively explored to mimic naturally anisotropic materials such as bone and wood, their design flexibility remains inherently limited by tessellation constraints. Spinodal metamaterials, inspired by the eponymous phase-separation transformation, offer an attractive alternative due to their intrinsic tunability and non-periodic nature. In this work, both isotropic and anisotropic spinodal decomposition processes are simulated by solving the dimensionless Cahn–Hilliard partial differential equation (PDE), where directional diffusivity is modeled through directional dependent mobility coefficients along Cartesian directions. The results demonstrate that anisotropic diffusion enables the generation of metamaterials with strong anisotropic topologies and spatially varying mechanical properties. A clear correspondence is established between the anisotropy (or isotropy) of the underlying physical model and the resulting mechanical behavior of the material. To design spinodal metamaterials with strong mechanical anisotropy, the dimensionless form of the Cahn–Hilliard equation, governed by two key parameters, is first solved. The resulting solution fields are converted into STL models and meshed for finite element analysis (FEA) to evaluate homogenized elastic properties. This study focuses on understanding how governing parameters affect stiffness, with focus on Young's moduli in all spatial directions. A genetic algorithm is employed to explore the design space and maximize stiffness in a chosen Cartesian direction. Experimental validation confirms the accuracy of this homogenization approach and emphasizes the potential of spinodal decomposition-inspired architectures in achieving mechanically anisotropic metamaterials.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105881"},"PeriodicalIF":4.2,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145267104","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":"Bandgap regulation and dynamics research of mechanical metastructure isolator considering nonlinear effects","authors":"Te Yang ,&nbsp;Shikai Jin ,&nbsp;Ning Chen","doi":"10.1016/j.euromechsol.2025.105889","DOIUrl":"10.1016/j.euromechsol.2025.105889","url":null,"abstract":"<div><div>The low-frequency broadband for isolation is one of the core challenges in the design of vibration isolators, which is difficult to be achieved by a single linear isolator. Although introducing negative stiffness mechanisms into isolator can effectively address this challenge, it is inevitable that the existing isolator structures are usually complex. Mechanical metastructure refers to a type of artificial structure with special properties. This paper presents the design of a ring-shaped mechanical metastructure isolator that exhibits superior vibration isolation performance. The stiffness of the isolator is derived from specially designed thin-beam structures. We obtain the force displacement curve and stiffness displacement curve of the mechanical metastructure isolator through finite element simulation (FEM), and explore the bandgap characteristic of the ring metastructure isolator based on Bloch theorem. The vibration transmissibility was obtained through analytical calculations and experiments. Based on this study, we clarify all factors that affect the isolation effect of the ring metastructure isolator. We design the vibration isolation frequency band with 44 Hz–57 Hz and the lowest vibration transmissibility of −32 dB. Our study introduces an innovative approach to vibration isolation technology.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105889"},"PeriodicalIF":4.2,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145109229","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 thermally-induced vibrations of bio-inspired cellular nanocomposite beams","authors":"Yuewu Wang ,&nbsp;Hangxiao Zhou ,&nbsp;Tairan Fu ,&nbsp;Xiaoyang Su ,&nbsp;Ying-Jing Qian","doi":"10.1016/j.euromechsol.2025.105883","DOIUrl":"10.1016/j.euromechsol.2025.105883","url":null,"abstract":"<div><div>Bio-inspired cellular nanocomposite architectures demonstrate significant application potential in spacecraft structural systems, yet remain susceptible to thermoelastic oscillations when subjected to thermal shock, posing critical risks of detrimental effects on structural integrity and mission reliability. This study is the first attempt to introduce an innovative nonlinear thermo-structural dynamics framework to predict thermally-induced vibration (TIV) responses in bio-inspired cellular sandwich beams with functionally graded porous (FGP) cores under thermal shock. Based on a hybrid analytical-numerical methodology, the proposed framework addresses the previously unresolved problem of predicting TIV phenomena in FGP structures. A coupled analytical-numerical methodology is developed, integrating three critical components: (1) a position-dependent thermal conductivity model derived from two-phase porous media formulations, validated for closed-cell foam systems; (2) mechanical homogenization combining the Halpin-Tsai micromechanical model, extended rule of mixtures, and closed-cell metal foam theory; and (3) a transient thermal-structural coupling scheme employing Crank-Nicolson finite difference analysis for temperature evolution and nonlinear dynamic equations based on first-order shear deformation theory. The governing thermo-mechanical system is resolved through an implicit Newmark-β algorithm with Newton-Raphson iteration, ensuring robust convergence under nonlinear conditions. Systematic parametric studies reveal fundamental relationships between TIV characteristics and key design parameters, including constituent material properties, porosity gradients, and cellular architecture. This framework establishes the first predictive model for thermally-induced vibration phenomena in bio-inspired FGP structures, providing critical insights into thermomechanical coupling behavior under extreme thermal transients.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105883"},"PeriodicalIF":4.2,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096733","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":"Design and characterization of near-zero refractive index labyrinth-type acoustic metamaterials","authors":"Jia-Hao Yin ,&nbsp;Han Wang ,&nbsp;Yi-Bo Song ,&nbsp;Lei Jiang ,&nbsp;Shuai Yang ,&nbsp;Xiao-Liang Zhou","doi":"10.1016/j.euromechsol.2025.105882","DOIUrl":"10.1016/j.euromechsol.2025.105882","url":null,"abstract":"<div><div>This study proposes a labyrinthine acoustic metamaterial with near-zero refractive index characteristics, where both the effective mass density and the reciprocals of effective bulk modulus simultaneously approach zero within the frequency range of 610–620 Hz. This structure achieves ultra-low propagation loss and significantly enhanced acoustic transmission, while maintaining a simple and compact form. We first design a steel-and-air labyrinth-type acoustic metamaterial that exhibits a near-zero refractive index. Since the dimensions of the structure are much smaller than the considered wavelength, the metamaterial structure is treated as homogenous medium and equivalent density <em>ρ</em>_eff, velocity <em>c</em>_eff are calculated using the equivalent parameter inversion method. A numerical model based on finite element method via commercial software is established to obtain the sound pressure field distributions of the near-zero refractive index metamaterial. Three types of acoustic devices with special functions involving encapsulated acoustic cloaking device, bidirectional acoustic focusing lens and anomalous transmission filters with no loss are designed based on the near-zero refractive index metamaterial. Numerical results confirm acoustic invisibility, twin-side energy concentration, and zero-impedance wave transport. These findings provide crucial theoretical insights and technical support for the design and application of next-generation high-performance acoustic functional devices.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105882"},"PeriodicalIF":4.2,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158678","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 constitutive equation for nonlinear elastic solids, which is based on the use of the Gibbs potential and the nominal stress tensor","authors":"R. Bustamante","doi":"10.1016/j.euromechsol.2025.105870","DOIUrl":"10.1016/j.euromechsol.2025.105870","url":null,"abstract":"<div><div>Using the Gibbs potential a new type of constitutive equation is proposed for nonlinear elastic solids, wherein the deformation gradient is a function of the nominal stress tensor. The particular case of isotropic bodies is analyzed in detail. Weak and variational formulations are proposed in terms of the nominal stress tensor, and considering some stress potentials that satisfy the equilibrium equations (in the reference configuration). Such variational formulations resemble closely the standard formulation for Green elastic solids, working with the displacement field as the main variable. Some boundary value problems are analyzed, considering homogeneous distributions for the stress and the deformation gradient, and one case assuming a non-homogeneous distribution for the nominal stress tensor.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105870"},"PeriodicalIF":4.2,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096731","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":"Active structural sound radiation control of smart carbon nanotube composite plates with agglomeration and waviness","authors":"Yunlin Liu","doi":"10.1016/j.euromechsol.2025.105880","DOIUrl":"10.1016/j.euromechsol.2025.105880","url":null,"abstract":"<div><div>This study investigates the effect of carbon nanotube (CNT) agglomeration and waviness on the sound radiation power of smart sandwich plates interacting with two semi-infinite fluid media. The structure consists of a CNT-reinforced core layer sandwiched between piezoelectric sensor and actuator layers. A modified Halpin–Tsai micromechanical model is employed to evaluate the nanocomposite properties, considering CNT orientation, waviness, and agglomeration. The structural response is analyzed using a coupled fluid–structure solution based on three-dimensional elasticity theory and the Rayleigh integral. To suppress sound radiation power amplitudes, an Interval Type-2 (IT2) fuzzy logic controller with integrated Proportional–Integral–Derivative (PID) is designed. It employs IT2 fuzzy sets with a footprint of uncertainty to handle membership uncertainties, while a nonlinear gain mechanism adapts input scaling factors for nonlinear dependencies. The PID integration enhances accuracy and stability, ensuring robust performance under varying conditions. Parametric studies on nanofiller weight fraction, CNT agglomeration, waviness, aspect ratio, and plate dimensions reveal that higher CNT content enhances stiffness, raising natural frequencies and shifting resonance peaks upward, though agglomeration and waviness mitigate these gains at larger fractions. Compared to the uncontrolled case, the PID controller reduces the first sound radiation power peak by 83.2 % and central deflection by 58.96 %, while the proposed controller achieves reductions of 96.1 % and 80.22 %, respectively. An overall 95 % reduction in radiated sound radiation power demonstrates significant potential for applications in health, environmental, regulatory, and technological noise control.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105880"},"PeriodicalIF":4.2,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158682","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 comprehensive review on hybrid lattice meta-structures for biomedical engineering applications","authors":"Masoud Shirzad ,&nbsp;Ali Zolfagharian ,&nbsp;Seung Yun Nam ,&nbsp;Mahdi Bodaghi","doi":"10.1016/j.euromechsol.2025.105878","DOIUrl":"10.1016/j.euromechsol.2025.105878","url":null,"abstract":"<div><div>Fabricating lattice structures with optimal physical, mechanical, and biological properties remains one of the key challenges in biomedical engineering. <strong>Meta-structures</strong> are geometry-driven systems that use structural architecture, often through periodic, hierarchical or graded designs, to achieve mechanical or functional properties not typically found in conventional bulk materials. Lattice meta-structures have emerged as a promising approach to meet the demanding requirements of biomedical devices, particularly due to their ability to mimic the structural and functional characteristics of host tissues. However, conventional meta-structures —composed of repeating single unit cells— often fall short in addressing all critical performance criteria. To overcome these limitations, hybrid meta-structures —combining two or more repeating architectures—have been developed, combining different structural architectures to enhance adaptability and functionality. The present review aims to provide a comprehensive overview of the design strategies and biomedical applications of hybrid meta-structures. Additionally, it offers insights into current challenges and outlines potential directions for future research in this rapidly evolving field.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105878"},"PeriodicalIF":4.2,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096732","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":"Quantized characteristic of a new stress wave profile originating from a frictional interface","authors":"Lingyan Shen,&nbsp;Yonggui Liu,&nbsp;Wenzhen Wang,&nbsp;Xiao fei Ji","doi":"10.1016/j.euromechsol.2025.105877","DOIUrl":"10.1016/j.euromechsol.2025.105877","url":null,"abstract":"<div><div>The fine structure of stress waves within the frictional interface is crucial for comprehending the transition processes of frictional motion at the micro spatiotemporal scale. However, detecting early wave signs of proximity to a skipping is made challenging due to their elusive and feeble nature. By integrating experiments with the finite element simulation and wave theory analysis, for the first time, we observe a novel stress wave profile. This new stress wave, stems from the frictional interface, travels perpendicularly to the interface into the substrate at a velocity of a plane longitudinal wave. Unlike the previously crack-like ruptures, the new stress wave exhibits a nonlinear attenuation pattern in space and quantized plateaus of enhancement in time with a characteristic time. Our results reveal that the generation of the new stress wave is attributed to the overall dynamic response of the entire frictional interface, rather than being dependent on the local fractures of micro-contacts within the interface. Geometrically, the front of this new stress wave forms the envelope of spherical waves emitted by particles at the interface. Mathematically, it can be characterized as a scattering wave field, generated by the frictional interface operator factor acting on the incident wave, akin to the diffraction of light. This discovery offers a novel benchmark for understanding of what governs critical transitions in frictional motion, with important implications for interpreting seismic patterns.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105877"},"PeriodicalIF":4.2,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096737","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}