Acta Mechanica Sinica最新文献

{"title":"Interfacial stress distribution prediction for coating/substrate systems in coating reinforced cylindrical gears","authors":"Cong Luo \u0000 (,&nbsp;),&nbsp;Siyu Chen \u0000 (,&nbsp;),&nbsp;Long Yu \u0000 (,&nbsp;),&nbsp;Xiaohan Lu \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25597-x","DOIUrl":"10.1007/s10409-025-25597-x","url":null,"abstract":"<div><p>The normal stress magnitude, stress gradient, and tangential stress at the coating-substrate interface of gear systems are key metrics for assessing interfacial bonding strength. Because the reinforced coating is extremely thin and the interfacial stress field is highly complex, conventional numerical methods often exhibit poor convergence and low computational efficiency when analyzing discontinuous interfacial fields. To address these limitations, this study develops a novel, accurate, and efficient calculation method based on interfacial and contact mechanics. An interfacial mechanics analysis model under concentrated contact loading is established to predict the interfacial stress distribution in coating-reinforced gear systems. By varying coating thickness and the elastic modulus ratio between coating and substrate, we systematically investigate the distribution patterns and evolution of interfacial stresses under concentrated loading and elucidate how these parameters influence the interfacial stress field. Finally, detailed numerical experiments based on the full field analytical solution are presented and compared with finite element simulations to verify the accuracy and effectiveness of the proposed method. This study provides a necessary theoretical basis for the detailed design, strength testing, and reliability evaluation of gear coating structures in practical engineering applications and holds significant importance.\u0000</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 9","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829471","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":"Effects of spatial non-uniform on detonation propagation in annular channels","authors":"Yahui Lu \u0000 (,&nbsp;),&nbsp;Jing Liu \u0000 (,&nbsp;),&nbsp;Shengjia Tu \u0000 (,&nbsp;),&nbsp;Xuechen Xi \u0000 (,&nbsp;),&nbsp;Shuzhen Niu \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25593-x","DOIUrl":"10.1007/s10409-025-25593-x","url":null,"abstract":"<div><p>To investigate the effects of non-uniform medium perturbations on detonation propagation in annular channels, this study employs the Euler equations coupled with a two-step induction-reaction kinetics model. A stoichiometric hydrogen-air mixture is used, in which a sinusoidal density perturbation is introduced, with its amplitude and frequency systematically varied. The results show that such non-uniform perturbations can induce localized decoupling and re-initiation processes at the detonation front. The amplitude of the perturbation determines the magnitude of local density and temperature gradients; larger amplitudes enhance the suppression of transverse waves, thereby increasing the instability of detonation propagation. Under large-amplitude perturbations, the detonation wave exhibits markedly different responses to perturbation frequency. Low-frequency perturbations tend to trigger periodic decoupling and re-initiation, while high-frequency perturbations lead to extensive wavefront decoupling. Further analysis of the flow structures and wall pressure distributions reveals that, under low-frequency conditions, the coupling between density gradients and inner-wall diffraction promotes the formation of strong transverse waves. In contrast, high-frequency perturbations impose rapid thermodynamic variations that the detonation wave cannot effectively respond to, suppressing the development of transverse structures and preventing the formation of strong transverse waves.\u0000</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 9","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829716","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 two-step symplectic dimensional perturbation series method for ordinary differential equations with initial conditions","authors":"Zhiping Qiu \u0000 (,&nbsp;),&nbsp;Yu Qiu \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25128-x","DOIUrl":"10.1007/s10409-025-25128-x","url":null,"abstract":"<div><p>Ordinary differential equations (ODEs) are fundamental in modeling various phenomena across disciplines such as physics, engineering, and economics. This paper presents a novel symplectic method that employs a two-step perturbation process for solving physical problems where governing equations are transformed into first-order ODEs with initial conditions. Due to the superior computational stability of the symplectic algorithm, it is integrated into the solution of ODEs in physical problems and is combined with the perturbation series method. For even-dimensional ODEs, the Hamiltonian form of the equations is derived using the perturbation method, and the symplectic algorithm is then applied in the first perturbation step. For odd-dimensional ODEs, the dimension is adjusted—either increased or decreased—via the perturbation series method before employing the symplectic method, constituting the second perturbation. This approach introduces a new perspective for solving ODEs in physical contexts. The efficacy and precision of the proposed method are demonstrated through two numerical examples. The results confirm the method’s effectiveness and accuracy.\u0000</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 9","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829466","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":"Three-dimensional crack growth prediction for attachment lugs based on physics-knowledge neural network","authors":"Jianqiang Zhang \u0000 (,&nbsp;),&nbsp;Pengfei Cui \u0000 (,&nbsp;),&nbsp;Wanlin Guo \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25598-x","DOIUrl":"10.1007/s10409-025-25598-x","url":null,"abstract":"<div><p>As a typical structure that connects important components in aircraft, lug joints will inevitably experience fatigue damage during service, which will pose a significant threat to aircraft safety. However, due to the complexity of the geometric structure and the three-dimensional (3D) crack in the real world, it is challenging to conduct damage tolerance analysis for different lug structures. In this paper, a set of computational procedures for 3D crack growth of attachment lugs based on physics-knowledge neural networks is proposed. The stress intensity factor database is provided by finite element method and physics-knowledge neural networks, and the crack growth analysis is based on 3D fatigue fracture theory. The growth behaviors of through-thickness cracks, corner cracks, surface cracks of straight lugs, and corner cracks of tapered lugs under constant amplitude or random spectrum loads are predicted and compared against available experimental results in the literature. The lug materials include 4340 steel, 7075-T651 aluminum, and polymethyl methacrylate. For through-thickness crack straight lugs, the effect of interference fit on the crack life is analyzed. For quarter elliptical corner crack tapered lugs, the crack growth under different loading directions and crack positions is investigated. The predicted results of different lug models are in good agreement with the experimental results, which verifies the accuracy of the computational procedures in this paper.\u0000</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 9","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829715","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":"Compressed representation of quantum states via orthogonal polynomials for flow field analysis","authors":"Yu Fang \u0000 (,&nbsp;),&nbsp;Cheng Xue \u0000 (,&nbsp;),&nbsp;Taiping Sun \u0000 (,&nbsp;),&nbsp;Xiaofan Xu \u0000 (,&nbsp;),&nbsp;Chuangchao Ye \u0000 (,&nbsp;),&nbsp;Tengyang Ma \u0000 (,&nbsp;),&nbsp;Huanyu Liu \u0000 (,&nbsp;),&nbsp;Yuchun Wu \u0000 (,&nbsp;),&nbsp;Zhaoyun Chen \u0000 (,&nbsp;),&nbsp;Guoping Guo \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25683-x","DOIUrl":"10.1007/s10409-025-25683-x","url":null,"abstract":"<div><p>Quantum computing promises exponential acceleration for fluid flow simulations, yet the measurement overhead required to extract classical information from the resulting quantum states fundamentally undermines this advantage—a challenge termed the “output problem”. To address this, we propose an orthogonal-polynomial-based quantum neural network (OP-QNN) that generates a compressed, low-dimensional representation of these states, enabling the efficient extraction of classical information with significantly reduced measurement overhead. Within OP-QNN, we develop an orthogonal-polynomial-based variational quantum circuit as a core component, which embeds trainable parameters into orthogonal basis transformations to enhance expressivity and generate compressed coefficients. We evaluate the compressed representation through two critical post-processing tasks on fluid flow data: reconstruction and classification, demonstrating exceptional performance in both areas. The high reconstruction fidelity confirms that the compressed data preserves the state’s global structure, while the high classification accuracy proves that it retains key discriminative features. Achieved with significantly reduced computational complexity and parameter counts compared to benchmarks, these results validate OP-QNN as an effective solution to the output problem—bridging quantum simulation outputs with practical fluid analysis and offering a scalable pathway to exploit quantum advantages in computational fluid dynamics.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 6","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829367","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":"Time-delayed feedback control of subcritical limit cycle oscillations in aeroelastic systems","authors":"Haojie Liu \u0000 (,&nbsp;),&nbsp;Siyu Qu \u0000 (,&nbsp;),&nbsp;Xiumin Gao \u0000 (,&nbsp;),&nbsp;Rui Huang \u0000 (,&nbsp;),&nbsp;Yonghui Zhao \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25768-x","DOIUrl":"10.1007/s10409-025-25768-x","url":null,"abstract":"<div><p>This study presents the time-delayed feedback control for suppressing subcritical limit cycle oscillations of an elastically-mounted airfoil. The nonlinear aeroelastic model of a two-degree-of-freedom airfoil equipped with a trailing-edge control surface, where concentrated structural nonlinearity exists in the pitch degree of freedom, is established based on the quasi-steady aerodynamic model. The performance of time-delayed feedback control concerning the flutter onset speed is investigated through linear stability analysis. The method of multiple scales is employed to derive an analytical expression for the vibration amplitude under nonlinear time-delayed feedback, and the criticality curve representing the boundary between subcritical and supercritical bifurcation regions is established. The numerical results demonstrate that the proposed time-delayed feedback control of the nonlinear aeroelastic system can successfully convert the subcritical Hopf bifurcation to supercritical, and reduce the amplitude of limit-cycle oscillations.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 8","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829718","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":"Transverse vibration isolation performance of a wavy metamaterial ring","authors":"Jia-Long Wang \u0000 (,&nbsp;),&nbsp;Ze-Qi Lu \u0000 (,&nbsp;),&nbsp;Long Zhao \u0000 (,&nbsp;),&nbsp;Hu Ding \u0000 (,&nbsp;),&nbsp;Li-Qun Chen \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25621-x","DOIUrl":"10.1007/s10409-025-25621-x","url":null,"abstract":"<div><p>The operation of precision machinery generates micro-vibrations characterized by broad frequency bands and time-varying properties. Conventional vibration isolation systems, however, are often limited in their ability to suppress low-frequency vibrations due to constraints in flexible mode control, making them inadequate for effective low-frequency broadband vibration mitigation. To address this challenge, this paper proposes a ring-shaped metamaterial vibration isolator designed to achieve enhanced low-frequency broadband vibration suppression. By curving wavy metamaterial beams into a closed-loop configuration, the structure attains a pseudo-infinite periodic characteristic within a compact form factor. Based on the Floquet-Bloch theorem, a theoretical model of the ring-shaped metamaterial is established, and the dispersion relation is derived using the transfer matrix method. The influences of both material and geometric parameters on the bandgap behavior are systematically investigated. An experimental platform is constructed to validate the analytical approach, and the results show good agreement with theoretical predictions. The study demonstrates that the pseudo-infinite periodicity inherent in the ring-shaped metamaterial enables the generation of broader bandgaps compared to conventional straight-beam configurations within the same spatial constraints, leading to significantly improved vibration isolation performance in compact environments.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 6","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829366","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":"Mechanical modeling of wafer probe testing based on nanoindentation inverse identification","authors":"Dongyang Hou \u0000 (,&nbsp;),&nbsp;Ting Lv \u0000 (,&nbsp;),&nbsp;Yuhang Ouyang \u0000 (,&nbsp;),&nbsp;Shunyong Jiang \u0000 (,&nbsp;),&nbsp;Fang Dong \u0000 (,&nbsp;),&nbsp;Sheng Liu \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25545-x","DOIUrl":"10.1007/s10409-025-25545-x","url":null,"abstract":"<div><p>Wafer probe testing is essential for evaluating the reliability of microelectronic devices. As device dimensions continue to shrink, the mechanical stress at the probe tip increases the risk of failure occurring in the brittle dielectric layer. Existing studies usually simplify the plastic behavior of bond pads in finite element (FE) models, making it difficult to accurately predict the stress in the dielectric layer. In this study, the FE model for wafer probe testing was improved by implanting the true plastic properties of Al-(4 wt.%)Cu bond pads obtained from nanoindentation inverse identification. Specifically, a MATLAB and ABAQUS co-simulation method is employed to inversely obtain the plastic properties of Al-(4 wt.%)Cu bond pads from the nanoindentation load-displacement curve. By comparing different gradient-based optimization algorithms, the Levenberg-Marquardt (LM) algorithm was found to be the most suitable for balancing computational efficiency and accuracy in inverse identification. Moreover, a hybrid optimization strategy combining Gauss-Newton and LM algorithms is proposed to mitigate sensitivity to initial values. The results show that the improved model of wafer probe testing achieves high accuracy in stress prediction. This study provides a high-fidelity approach for mechanical reliability assessment of wafer probe testing.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 7","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829270","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":"Severe strain localization induced crack suppression in a dislocation-rich FeNiAl high-strength steel","authors":"Weipeng Li \u0000 (,&nbsp;),&nbsp;Xiedong Sun \u0000 (,&nbsp;),&nbsp;Haicheng Zhang \u0000 (,&nbsp;),&nbsp;Binbin He \u0000 (,&nbsp;),&nbsp;Chao Jiang \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25475-x","DOIUrl":"10.1007/s10409-025-25475-x","url":null,"abstract":"<div><p>Introducing high dislocation density has proven effective for attaining ultrahigh strength while retaining ductility. However, the role of high dislocation density in affecting the crack initiation and propagation (i.e., toughness) is still unclear. The present study investigates the notch fracture behavior and deformation mechanisms of a strong and ductile FeNiAl steel with yield strength of 1797 MPa and uniform elongation of 28.5%, possessing high dislocation density resulting from severe cold-rolling process. The cold rolled steel with high dislocation density exhibits superior crack initiation resistance and fracture energy compared to the annealed counterpart with low dislocation density. Pronounced necking and strain localization are found at notch roots of the cold-rolled sample, indicating enhanced plastic deformation despite its higher yield strength and lower work hardening capacity. The dual roles of high dislocation density are identified: (1) dense dislocation networks restrict dislocation mobility to enhance flow stress while limiting large-range plastic strain under gradient stress; (2) whereas coordinated short-distance slip of abundant dislocations enables intensive and severe plastic strain that suppresses crack nucleation locally, providing critical insights for designing damage-tolerant ultrahigh-strength steels.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 7","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829358","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":"Abnormal shape evolution and atomization of acoustically levitated bubbles","authors":"Xianyu Nong \u0000 (,&nbsp;),&nbsp;Hongyue Chen \u0000 (,&nbsp;),&nbsp;Xiaoliang Ji \u0000 (,&nbsp;),&nbsp;Zherui Hou \u0000 (,&nbsp;),&nbsp;Xiuxing Tang \u0000 (,&nbsp;),&nbsp;Minghao Zhou \u0000 (,&nbsp;),&nbsp;Duyang Zang \u0000 (,&nbsp;)","doi":"10.1007/s10409-025-25571-x","DOIUrl":"10.1007/s10409-025-25571-x","url":null,"abstract":"<div><p>In this study, we investigated the shape evolution and atomization of an acoustically levitated bubble upon increasing the distance <i>H</i> between the ultrasound emitter and reflector. Here, a levitated soap bubble evolves progressively from an ellipsoidal shape to a spherical shape, and then recovers to its initial ellipsoidal shape. Through systematic experiments and numerical simulation, we demonstrate how the changing sound field affects the levitation state of a bubble and its shape evolution. The re-growth of sound intensity flattens the levitated bubble and makes it return to the initial ellipsoidal shape. This paper also reports two atomization modes of levitated bubble: Rayleigh-Plateau instability caused by capillary wave growth and buckling instability caused by acoustic resonance. This study provides new insights into the interaction between sound field and bubble dynamics, thus contributing to making better utilization of the acoustically levitated bubble reactor.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 8","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829614","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}