European Journal of Mechanics A-Solids最新文献

{"title":"Creep rupture life prediction model combining microstructure evolution and Monkman-Grant relation for thermal and irradiation creep","authors":"Dong Tang ,&nbsp;Shilin Li ,&nbsp;Long Yu ,&nbsp;Xinfu He ,&nbsp;Xiazi Xiao","doi":"10.1016/j.euromechsol.2026.106033","DOIUrl":"10.1016/j.euromechsol.2026.106033","url":null,"abstract":"<div><div>In this work, a creep rupture life prediction model is proposed by combining the creep constitutive laws and Monkman-Grant (M-G) relation to analyze the rupture time under thermal and irradiation creep. The model could simultaneously characterize the influence of testing temperature, applied stress and irradiation damage on the steady-state creep strain rate by taking into account corresponding microstructure evolution, accurately capture the mechanism transitions during creep, and then convert the steady-state creep strain rate into macroscopic rupture life via the M-G relation. Once the irradiation effect is ignored, the model can be degraded to predict the thermal creep rupture life. Model validation is achieved by comparing theoretical results with the experimental data of 15-15Ti, 316H, P92 and 304 steels for both thermal and irradiation creep. Related mechanism analyses indicate that the shortened thermal creep rupture life with increasing stress and temperature is mainly ascribed to the accelerated activity of dislocation climb that leads to the enhancement of dislocation mobility and acceleration of creep damage accumulation. Under irradiation creep, it is the elevated vacancy diffusion coefficient that leads to the enhanced activity of dislocation climb, and finally results in the shorter irradiation creep rupture life when compared with the one under thermal creep. The proposed model could provide an efficient theoretical tool for material creep life assessment under extreme environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106033"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038061","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 analysis and vibration reduction strategy for an axially moving beam with a bistable nonlinear energy sinks","authors":"Peng Chen ,&nbsp;Ji-Hou Yang ,&nbsp;Xiang-Ying Guo ,&nbsp;Hua-Ting Liu ,&nbsp;Xiao-Dong Yang","doi":"10.1016/j.euromechsol.2026.106029","DOIUrl":"10.1016/j.euromechsol.2026.106029","url":null,"abstract":"<div><div>This study investigates the use of bistable nonlinear energy sinks (BNES) to suppress multimodal vibrations in axially moving beams. A coupled nonlinear dynamic model of the beam–BNES system is established and discretized using the Galerkin method. The beam's complex eigenfrequencies are analyzed to clarify the effects of axial speed and tensile load on flutter-induced instability. A continuation algorithm is then applied to compute the amplitude–frequency responses of the first two modes, with and without BNES coupling. Three BNES installation configurations are subsequently evaluated to identify the most effective vibration-control strategy. In addition, the influences of external excitation, axial velocity, tensile force, and the stiffness and damping parameters on suppression performance are systematically investigated. Based on the parametric analysis, a particle swarm optimization (PSO) algorithm is further employed to optimize the stiffness and damping parameters of the BNES, aiming to reduce the activation threshold while enhancing vibration suppression performance. The results show that distributing multiple BNES units along the beam provides superior multimode suppression compared with a single absorber. The BNES performance is sensitive to both axial motion and tensile load, and appropriate tuning of excitation level, stiffness, and damping within practical limits can further improve vibration-reduction efficiency.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106029"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038063","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":"Fracture behaviour of notched P3HB specimens – Effects of strain rate and natural aging","authors":"Elżbieta Bura ,&nbsp;Wiesław Frącz","doi":"10.1016/j.euromechsol.2026.106036","DOIUrl":"10.1016/j.euromechsol.2026.106036","url":null,"abstract":"<div><div>This study investigates the fracture mechanics of notched P3HB specimens subjected to monotonic tensile loading under different average strain rates, from 0.14·10⁻³ s⁻¹ to 14·10⁻³ s⁻¹, and tested 24, 168, and 720 h after manufacturing to capture changes due to natural aging. Flat specimens were weakened with double-sided V-notches of various root radii to analyse stress concentration effects. Force response, elongation, and fracture surface morphology were examined to identify mechanisms governing crack initiation and propagation. Natural aging increased Young's modulus by 15–20 % and reduced elongation at break by 30–40 %, indicating embrittlement over time. In contrast, higher strain rates promoted up to 25 % greater maximum force and elongation to fracture, likely due to strain-induced mesophase formation. In all cases, fracture initiated at the notch root, with a larger notch radius reducing stress concentration and delaying crack initiation. A progressive shift toward brittle fracture behaviour was observed with aging duration and strain rate. The predictive capability of two classical brittle-fracture criteria-Maximum Tangential Stress (MTS) and Mean Stress (MS) – was evaluated. Significant discrepancies between predicted and experimental critical loads were found, with errors of approximately 49–56 %. These results demonstrate that existing criteria do not adequately capture local deformation mechanisms in P3HB. Reliable fracture prediction therefore requires models incorporating evolving plastic strain fields and experimentally derived hardening behaviour, providing a foundation for improved failure criteria for aging-sensitive polymers. When critical parameters were calibrated using experimental data within the Theory of Critical Distances framework, the prediction error was reduced to below 7 % (MTS), demonstrating that the proposed approach provides quantitative predictive capability for notched P3HB specimens across different aging times and strain rates.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106036"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038065","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 deep learning approach to predict cyclic softening behaviour of irradiated and non-irradiated RAFM steels under low cycle fatigue","authors":"Hussein Zahran ,&nbsp;Aleksandr Zinovev ,&nbsp;Dmitry Terentyev ,&nbsp;Ali Aouf ,&nbsp;Magd Abdel Wahab","doi":"10.1016/j.euromechsol.2026.106021","DOIUrl":"10.1016/j.euromechsol.2026.106021","url":null,"abstract":"<div><div>Qualification of Reduced Activation Ferritic-Martensitic (RAFM) steels for fusion reactors require Low Cycle Fatigue (LCF) testing including experiments after irradiation. Cyclic softening curves from these tests help reduce the conservatism of RCC-MRx. In this work, Deep Neural Network (DNN) is used to predict the cyclic softening curves for irradiated and non-irradiated RAFM steels. Cyclic softening for specimens tested under different conditions are gathered from literature. Three samples are used in this study with increased number of points obtained per curve. The results showed that increasing the number of points per curve reduced the overfitting of the training set. This is shown through the increase of the accuracy scores for both the validation and prediction sets. SHapley Additive exPlanation (SHAP) analysis is performed to understand how the DNN model interprets the effect of the input features on the output. The DNN model with the tuned hyperparameters is used to predict the cyclic softening curves of the prediction sets. The curves show very good agreement between the experimental and predicted curves for both irradiated and non-irradiated material.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106021"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145976833","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":"An integrated fabrication process for reducing thermal distortion of the CFRP reflector surface","authors":"Kangcheng Yin ,&nbsp;Bo Yuan ,&nbsp;Zhenyuan Xu ,&nbsp;Zibo Sun ,&nbsp;Qingchao Sun ,&nbsp;Xiaokai Mu","doi":"10.1016/j.euromechsol.2026.106025","DOIUrl":"10.1016/j.euromechsol.2026.106025","url":null,"abstract":"<div><div>Severe surface thermal distortion poses a significant challenge to the application of carbon fiber-reinforced polymer (CFRP) in lightweight reflectors. Minor deviations in the manufacturing process can lead to remarkable thermal deformation, hindering efforts to optimize fabrication techniques. This study investigates the impact mechanisms of process deviations during the layup and curing stages of CFRP reflector production on thermal distortion and introduces an integrated fabrication process that combines anti-symmetric folding layup with pre-curing technology. This innovative approach enhances the middle plane symmetry of the laminate, thereby significantly reducing thermal distortion on the surface of CFRP reflectors. Experimental samples were fabricated using the newly developed process and compared to those produced using conventional methods in terms of surface thermal distortion. The results demonstrate that, compared to the symmetric layup process, the integrated fabrication process achieves a 53.45 % reduction in the peak-to-valley value of surface thermal distortion, underscoring its significant prospect for advancing engineering applications.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106025"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977414","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 nonlinear dynamics of tri-stable piezoelectric vibration energy harvester with a bio-inspired RRS structure","authors":"Yanze Wu ,&nbsp;Zitai Zeng ,&nbsp;Jianyu Sang ,&nbsp;Debao Kong ,&nbsp;Haipeng Liu ,&nbsp;Guangqing Wang","doi":"10.1016/j.euromechsol.2025.105999","DOIUrl":"10.1016/j.euromechsol.2025.105999","url":null,"abstract":"<div><div>A novel tri-stable piezoelectric vibration energy harvester (PVEH) with a raceway-roller-spring (RRS) structure inspired by soybean pod is proposed for efficient vibration energy harvesting. Its main advantage is that the RRS structure eliminates any use of magnets and can be flexibly designed into various morphologies to achieve the expected nonlinear tri-stability by self-defining the raceway’s coordinates. Firstly, the detailed design steps and nonlinear tri-stability induction mechanism of RRS structure were studied, and then the nonlinear dynamic model of PVEH with RRS structure was derived to explore the system dynamics and harmonic response under sweep frequency and harmonic excitation. Finally, a prototype is manufactured and used for experimental investigation and validation. The results indicate that the PVEH with asymmetrical RRS structure can generate a peak voltage and power of 30.4 V and 241 μW, respectively, achieving the normal power density (NPD) of 4.82 μW mm⁻³.g⁻².Hz⁻¹ over an effective bandwidth of 3.6 Hz (2.4–6 Hz), which is higher than that of the comparisons, meeting the self-powering demands of low-power electronic devices.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 105999"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797706","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":"Experimental verification and theoretical study on nonlinear vibrations of aluminum-based sandwich airfoil plate under external excitations","authors":"H. Li ,&nbsp;W. Zhang ,&nbsp;Y.F. Zhang ,&nbsp;X.T. Guo ,&nbsp;Y.X. Zhang","doi":"10.1016/j.euromechsol.2025.105994","DOIUrl":"10.1016/j.euromechsol.2025.105994","url":null,"abstract":"<div><div>In the application domains of tactical reconnaissance and high-speed penetration, unmanned aerial vehicles equipped with low-aspect-ratio wings have garnered significant attention due to their high maneuverability, compact structure, and superior high-speed performance. In this paper, the low aspect ratio wing is taken as the research object, and a dynamic model is established for the unified solution of the airfoil quadrilateral wing. This investigation aims to develop a unified methodology for studying nonlinear vibrations of the graphene-reinforced porous aluminum-based (GRPA) sandwich airfoil quadrilateral (GRPA-SAQ) plates under complex boundary conditions, addressing the critical need for analyzing the aeronautical structures with the irregular geometries and reinforced material properties. The GRPA-SAQ plate model is constructed, combining the GRPA core layer with aluminum face sheets, with the arbitrary boundaries simulated by distributed artificial springs. By introducing the four-node coordinate transformation, the airfoil quadrilateral in the Cartesian coordinate system is transformed into the square domain in the natural coordinate system. Based on the first-order shear deformation theory (FSDT), the strain energy, kinetic energy and boundary spring potential energy of the airfoil quadrilateral plate structure in the natural coordinate system are derived. Based on Chebyshev polynomial, the displacement admissible function of equal square plate is constructed. The nonlinear ordinary differential equations for a system are derived using the Lagrange's equation. The model is validated by comparing the natural vibration obtained from modal testing with those from ANSYS simulations. Furthermore, the qualitative agreement between the amplitude-frequency response curves from frequency sweep experiments and the theoretical results further verified the accuracy of the proposed modeling approach. The experimental results demonstrates that the system shows a trend of hard spring characteristics. Subsequently, considering the 1:3 internal resonance of GRPA-SAQ plate, a multi-scale method is adopted in perturbation analysis to obtain the average equation in polar coordinate system for nonlinear response theoretical research. This work establishes an effective method for analyzing the nonlinear vibration of the irregular plate with various boundaries, which provides a new theoretical technique for the dynamic design of the complex geometric structures in the aerospace field.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 105994"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797813","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 nonlinear rigid-flexible piezoelectric beam model for large in-plane motions","authors":"Yanjie Mei ,&nbsp;Gongye Zhang ,&nbsp;Changwen Mi ,&nbsp;Yilin Qu","doi":"10.1016/j.euromechsol.2025.106005","DOIUrl":"10.1016/j.euromechsol.2025.106005","url":null,"abstract":"<div><div>This research focuses on studying the rigid-flexible dynamic response of piezoelectric beams undergoing large-scale in-plane motion. Utilizing a three-dimensional (3D) framework of the piezoelectric effect, coupled with Euler-Bernoulli beam theory and the principles of rigid-flexible coupling dynamics, a nonlinear one-dimensional (1D) model, which considers the rigid displacement, rotation angle, axial deformation, deflection, and electric potential of the piezoelectric beam, is established. Through meticulous analysis based on the developed model, the paper examines the behavior of several key physical quantities, such as the instantaneous axial deformation, tip deflection, maximum first-order electrical potential, torque, and thrust. These quantities are studied under two typical scenarios—translation and rotation of the component model with the rigid hub. Numerical results show that there is a significant coupling effect between the axial deformation of the piezoelectric beam and its internal first-order potential when there is a large-scale planar motion in the piezoelectric beam. These numerical results indicate that there is a consistent change trend between the instantaneous external force, instantaneous acceleration, axial deformation, deflection and electric potential. These phenomena indicate that the motion state and deformation of the component model can be detected through the electric potential distribution generated in the beam by the piezoelectric effect. This study will provide an important theoretical basis for understanding the electromechanical coupling characteristics of piezoelectric structures in dynamic environments and developing robotic structures accordingly.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106005"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884232","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 phase-field model for microstructurally-sensitive crack growth in FCC crystals based on crystal plasticity theory","authors":"Hongyi Huang ,&nbsp;Zhengbang Ding ,&nbsp;Jun Luo","doi":"10.1016/j.euromechsol.2025.106007","DOIUrl":"10.1016/j.euromechsol.2025.106007","url":null,"abstract":"<div><div>In this paper, a phase field model based on crystal plasticity theory is proposed to characterize the microstructurally-sensitive fatigue and fracture behavior of face-centered cubic crystals (FCC) crystals. The microscopic plastic slip is predicted with a phenomenological crystal plasticity model. The plastic stored energy, along with the tensile part of the decomposed elastic strain energy, is regarded as the crack driving force.The cumulative value of the elastoplastic strain energy is adopted as the damage variable, based on which a fatigue degradation function is introduced to describe the cyclic loading effect. A threshold value of the normalized crack driving force is introduced to mitigate spurious evolution of the crack phase field. Crack growth behavior in FCC single crystals and polycrystals under monotonic and cyclic loading is then studied with phase field modelling. The numerical results indicate that the phase field model can effectively characterize the crystal orientation dependent crack growth in FCC crystals. The predicted crack growth rate conforms to the fundamental characteristics of short fatigue crack growth. The impact of the effective proportion of the accumulated plastic strain energy acting as the crack driving force on the crack growth behavior is discussed in the paper. The numerical findings presented in the paper provide critical insights toward development of a robust numerical approach to characterize the microstructure-sensitive fatigue damage evolution in FCC crystals.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106007"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840843","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":"Analytical and numerical study of the radial compression of a helical spring: Relationship between diameter variation, elongation and radial force","authors":"Franck Jourdan","doi":"10.1016/j.euromechsol.2026.106026","DOIUrl":"10.1016/j.euromechsol.2026.106026","url":null,"abstract":"<div><div>This study investigates the mechanical behavior of helical springs subjected to radial compression, a configuration particularly relevant to biomedical applications such as stents. Traditional models, notably those by Wahl and later Jedwab &amp; Clerc (J&amp;C), were developed for axial loading and rely on geometric assumptions that do not hold under radial compression—most notably, the constraint of non-rotating ends. These assumptions lead to significant overestimations of spring elongation. To address this limitation, an alternative analytical model is proposed, based on beam theory and Castigliano’s theorem. This model accounts for end rotation and spring coiling, and incorporates material properties such as Poisson’s ratio. The analytical predictions are validated through finite element simulations (FEM), showing strong agreement in elongation estimates and highlighting the limitations of J&amp;C’s approach. Two numerical benchmark tests are conducted to compare the models: one varying the initial pitch angle, and another replicating J&amp;C’s stent configuration. Results demonstrate that elongation and radial force are sensitive to pitch angle and that spring coiling significantly influences mechanical response. The alternative theory provides a more accurate and physically consistent framework for modeling radially compressed springs, with implications for the design of medical and industrial devices.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106026"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038064","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}