International Journal of Mechanical Sciences最新文献

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Robust sliding mode control of vibration in thin-walled milling 薄壁铣削振动的鲁棒滑模控制
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-16 DOI: 10.1016/j.ijmecsci.2025.110843
Zhenmin Li , Qinghua Song , Liguo Zhang , Zhanqiang Liu
{"title":"Robust sliding mode control of vibration in thin-walled milling","authors":"Zhenmin Li ,&nbsp;Qinghua Song ,&nbsp;Liguo Zhang ,&nbsp;Zhanqiang Liu","doi":"10.1016/j.ijmecsci.2025.110843","DOIUrl":"10.1016/j.ijmecsci.2025.110843","url":null,"abstract":"<div><div>The existing research on the active control of milling vibration primarily focuses on thin-walled plates with simple boundaries. In this paper, the vibration suppression of frame-shaped thin-walled workpieces with sidewall and corner features is studied. Firstly, the kinematics and dynamic models are established to analyze the milling characteristics of sidewalls and corners, respectively. After that, a vibration suppression method combining corner deceleration and active control is presented. The robust controller is designed based on the Hamilton-Jacobi inequality and Lyapunov stability theory. To implement active control, a milling machine integrated with the electromagnetic actuator is developed. The compact structure based on the magnetic bearing is more feasible and convenient for tool-changing operations. The main contribution and performance of the theoretical methods are presented as follows: (I) The workpiece studied in this paper is closer to real thin-walled parts in engineering; (II) The designed controller exhibits good robustness under the changes in the depth of cut and system disturbance; (III) Based on simulation and experimental results, the milling stability is improved effectively and the vibration amplitudes decrease to an average level of more than 23.4%. Referring to the theoretical critical depth of cut based on the stability lobe diagram, the machining efficiency under the control method presented in this paper can be increased by 108%.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110843"},"PeriodicalIF":9.4,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145120890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simplified impact prediction and damage assessment of fire-exposed FRP-RC slabs 火灾暴露FRP-RC板的简化冲击预测与损伤评估
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-16 DOI: 10.1016/j.ijmecsci.2025.110842
Xinyu Zhao , Renbo Zhang , Liu Jin , Yi Liu , Xiuli Du
{"title":"Simplified impact prediction and damage assessment of fire-exposed FRP-RC slabs","authors":"Xinyu Zhao ,&nbsp;Renbo Zhang ,&nbsp;Liu Jin ,&nbsp;Yi Liu ,&nbsp;Xiuli Du","doi":"10.1016/j.ijmecsci.2025.110842","DOIUrl":"10.1016/j.ijmecsci.2025.110842","url":null,"abstract":"<div><div>Fiber-reinforced polymer (FRP) reinforced concrete structures are increasingly applied in buildings, bridges, dams and other infrastructure. However, most existing studies either examine fire and impact separately or depend on computationally intensive simulations. As a result, simplified analytical methods for evaluating the dynamic response of FRP-reinforced concrete (FRP-RC) slabs under coupling elevated temperature and impact loading remains limited. Motivated by this deficiency, this study presents a simplified analytical framework for evaluating the impact performance and damage of fire-exposed FRP-RC slabs. A coupled thermo-mechanical approach is proposed, integrating a nonlinear finite element heat transfer model with a two-degree-of-freedom (2DOF) dynamic system that simultaneously accounts for stress wave propagation, elevated temperature effect, and strain rate sensitivity. A layered cross-sectional analysis was used to derive temperature- and strain rate-dependent dynamic resistance functions, from which the equivalent stiffness <em>k</em><sub>2</sub> was obtained. Together with other computable parameters, <em>k</em><sub>2</sub> was incorporated into the 2DOF analytical model to predict impact force and mid-span displacement of FRP-RC slabs under coupling action of drop-weight impact and fire. Validation against numerous tested and simulated slabs demonstrated that the model achieved high prediction accuracy (<em>R</em><sup>2</sup>&gt;0.8) with low computational cost. Furthermore, empirical prediction equations were developed for rapid engineering applications, and a displacement-based damage assessment method was introduced. Impact mass-velocity (<em>m-v</em>) equivalent damage curves were constructed to quantify fire–impact performance, and parametric studies revealed that increasing slab thickness or applying fireproof coatings markedly improves structural resilience. In conclusion, the proposed framework effectively provides a physically-based and computationally efficient tool for performance-based design and quantitative damage evaluation of FRP-RC slabs under coupled fire-impact scenarios.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110842"},"PeriodicalIF":9.4,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145159336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inhomogeneous acoustic black hole lattice design for superior vibration suppression 非均匀声学黑洞点阵设计,抑制振动
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-16 DOI: 10.1016/j.ijmecsci.2025.110845
Bin Ye , Panding Wang , Zeang Zhao , Heran Jia , Zhong Zhang , Shengyu Duan , Changmeng Liu , Hongshuai Lei
{"title":"Inhomogeneous acoustic black hole lattice design for superior vibration suppression","authors":"Bin Ye ,&nbsp;Panding Wang ,&nbsp;Zeang Zhao ,&nbsp;Heran Jia ,&nbsp;Zhong Zhang ,&nbsp;Shengyu Duan ,&nbsp;Changmeng Liu ,&nbsp;Hongshuai Lei","doi":"10.1016/j.ijmecsci.2025.110845","DOIUrl":"10.1016/j.ijmecsci.2025.110845","url":null,"abstract":"<div><div>Achieving superior vibration suppression in lightweight engineering structures has been a long-standing challenge of considerable interest. In response, this work integrates the acoustic black hole (ABH) concept into lattice structures, constructing the acoustic black hole lattice structures (ABH-Lattice). In this work, a novel design for ABH-Lattice is proposed, replacing conventional thickness tapering with gradient parameterization of effective mechanical properties at lattice units scale. The design methodology is established using the inhomogeneous Euler-Bernoulli beam model combined with the dynamical homogenization technique. Numerical and experimental investigations confirm the vibration suppression performance of ABH-Lattice, in both frequency and time domains. A perturbation-based analysis was employed to reveal the underlying energy convergence phenomenon behind the exceptional vibration damping capabilities of the ABH-Lattice. Furthermore, the effective parameter governing the energy convergence effect is derived and used to study the influence of structural parameters on vibration suppression. Finally, the integration of local resonators with the ABH-Lattice was investigated, revealing a remarkable synergistic effect. This coupling significantly expanded the local resonance bandgap. This innovative ABH design for lattice structures meets engineering demands for vibration reduction, providing a simple yet effective solution for vibration control in practical applications and holding significant potential for engineering implements.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110845"},"PeriodicalIF":9.4,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhancing damage diagnosis reliability by considering individual mission load severity 考虑单个任务载荷严重程度,提高损伤诊断可靠性
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-16 DOI: 10.1016/j.ijmecsci.2025.110836
Qiuhui Xu , Yixing Meng , Shenfang Yuan, Jian Chen
{"title":"Enhancing damage diagnosis reliability by considering individual mission load severity","authors":"Qiuhui Xu ,&nbsp;Yixing Meng ,&nbsp;Shenfang Yuan,&nbsp;Jian Chen","doi":"10.1016/j.ijmecsci.2025.110836","DOIUrl":"10.1016/j.ijmecsci.2025.110836","url":null,"abstract":"<div><div>Among different Structural Health Monitoring (SHM) targets, damage diagnosis is always one of the most important as timely diagnosis of structural damage with high reliability can greatly facilitate the implementation of efficient maintenance and accurate structural life prediction. However, both the damage propagation process and the SHM method are always affected by complex uncertainties in service loads. To address this issue, a novel method for enhancing the reliability of damage diagnosis in individual aircraft structures is proposed in this paper, by accounting for both mission load severity and monitored damage features. Unlike conventionally employed load compensation techniques, it is proposed to extract the monitored flight mission load spectrum information, including the load spectrum amplitude and load spectrum mean feature, together with the damage index to form a new kind of multidimensional feature, taking advantage of hybrid Fiber Bragg Grating (FBG)-based load monitoring and Guided Wave (GW)-based damage monitoring. Besides, a Hybrid Monitoring-based Gaussian Process (HMGP) probabilistic model is established with the multidimensional feature to quantify the damage. Validation fatigue test is designed by using different complex variable load spectra. The results demonstrate a 36 % improvement in the Probability of Detection (POD) and a 44 % increase in crack sizing reliability, representing a significant enhancement in diagnostic reliability.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110836"},"PeriodicalIF":9.4,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifunctional 3D lattice metamaterials for vibration attenuation and crushing resistance 用于减振和抗破碎的双功能三维晶格超材料
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-16 DOI: 10.1016/j.ijmecsci.2025.110838
Hongyun Yang , Zulong Qian , Jinyao Wang , Jinchao Wang , Shijing Wu , Zhaoyu Li , Xiaosun Wang
{"title":"Bifunctional 3D lattice metamaterials for vibration attenuation and crushing resistance","authors":"Hongyun Yang ,&nbsp;Zulong Qian ,&nbsp;Jinyao Wang ,&nbsp;Jinchao Wang ,&nbsp;Shijing Wu ,&nbsp;Zhaoyu Li ,&nbsp;Xiaosun Wang","doi":"10.1016/j.ijmecsci.2025.110838","DOIUrl":"10.1016/j.ijmecsci.2025.110838","url":null,"abstract":"<div><div>The engineering application demand for multifunctional mechanical metamaterials has increased remarkably, and structural morphology design for achieving the collaborative optimization of multi-physical functions has emerged as a critical research direction. Based on single-phase materials, this paper proposes a bifunctional 3D lattice structure integrating low-frequency vibration suppression and energy absorption properties.​ By introducing the local resonance mechanism to construct low-frequency bandgaps, vibration attenuation in the range of 0–320 Hz is realized, with the minimum onset frequency of the complete bandgap reaching 82.57 Hz. This breaks the limitation that traditional local resonance metamaterials depend on mass-substrate impedance mismatch.​ Local support rods (SR) and connecting rods (CR) regulate the deformation modes and energy dissipation paths under compressive impact, forming a multi-stage progressive energy absorption mode. Furthermore, the auxiliary structure has no additional mass load and exhibits a high degree of freedom in bandgap tuning.​ The study also verifies the potential of bandgap tuning under external forces and establishes a functionally graded design strategy, providing an active means for the dynamic regulation of vibration control. This work offers a new paradigm for the cross-scale design of multifunctional mechanical structures and metamaterials under complex working conditions.<!--> </div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110838"},"PeriodicalIF":9.4,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145120893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Data-driven inverse design of C/C honeycombs via multiscale damage modeling 基于多尺度损伤建模的C/C蜂窝数据驱动反设计
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-15 DOI: 10.1016/j.ijmecsci.2025.110835
Lijia Guo , Weijie Li , Ying Liu , Ying Li
{"title":"Data-driven inverse design of C/C honeycombs via multiscale damage modeling","authors":"Lijia Guo ,&nbsp;Weijie Li ,&nbsp;Ying Liu ,&nbsp;Ying Li","doi":"10.1016/j.ijmecsci.2025.110835","DOIUrl":"10.1016/j.ijmecsci.2025.110835","url":null,"abstract":"<div><div>Carbon/carbon honeycomb sandwich structures (C/C-HSS) represent a next-generation solution for load-bearing platforms in space systems, offering superior mechanical performance, lightweight characteristics and excellent thermal stability. However, their design optimization poses a significant challenge due to highly nonlinear, multiscale interactions and conflicting objectives such as strength, stiffness, low weight, and thermal reliability. This study proposes a novel data-driven inverse design framework that integrates three key components: a multiscale thermo-mechanical-damage model, an interpretable deep learning surrogate, and multi-objective evolutionary optimization. A multiscale thermo-mechanical-damage model is first employed to accurately simulate the thermo-mechanical responses of C/C-HSS under varying thermal conditions, thus generating a comprehensive dataset. A deep neural network (DNN) surrogate is then trained on this dataset to predict eight critical structural properties with high accuracy (R² &gt; 0.99, RMSE &lt; 5 %). Feature importance is interpreted using SHapley Additive exPlanations (SHAP), revealing dominant design factors such as wall thickness and side length. Subsequently, a Non-dominated Sorting Genetic Algorithm II (NSGA-II) is employed to efficiently explore the design space and identify Pareto-optimal configurations that achieve significant weight reduction and high load-bearing capacity, while maintaining excellent thermal stability across a wide temperature range. This integrated approach achieves a 95 % reduction in computational expenditure compared to conventional finite element (FE) based optimization, while establishing a generalizable paradigm for multiscale inverse design of C/C-HSS operating under extreme aerospace thermal-mechanical conditions. The optimized configurations demonstrate 22 % mass reduction relative to baseline designs, while achieving uncompromised thermal stability, with computational efficiency exceeding traditional FE methods by an order of magnitude.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110835"},"PeriodicalIF":9.4,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145120894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical investigation on the dedusting performance of rail grinding machinery 磨轨机除尘性能的数值研究
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-15 DOI: 10.1016/j.ijmecsci.2025.110834
Chunyu Wang , Shunwei Shi , Liang Gao , Yixiong Xiao , Yuze Wang , Ludong Wang
{"title":"Numerical investigation on the dedusting performance of rail grinding machinery","authors":"Chunyu Wang ,&nbsp;Shunwei Shi ,&nbsp;Liang Gao ,&nbsp;Yixiong Xiao ,&nbsp;Yuze Wang ,&nbsp;Ludong Wang","doi":"10.1016/j.ijmecsci.2025.110834","DOIUrl":"10.1016/j.ijmecsci.2025.110834","url":null,"abstract":"<div><div>In mechanized rail grinding, excessive escape and deposition of grinding chips frequently cause mechanical failures, increase maintenance costs, and pose safety threats. This study leverages computational fluid dynamics and discrete phase model (CFD-DPM) to investigate the dedusting performance of rail grinding machinery. An experimentally verified two-phase flow model, comprising dedusting airflow and grinding chips, is developed. Notably, chip deposition on mechanical surfaces is innovatively characterized using a self-programmed criterion. Through in-depth analysis of airflow dynamics and chip migration, the dedusting mechanism is revealed for the first time, and the influences of operational parameters on dedusting performance are further evaluated. Results indicate that the dedusting mechanism lies in the size-dependent migration of chips under sluggish airflow predominating in the system. The airflow only entrains chips smaller than 100 μm, while coarser chips are governed by inertia. Consequently, only 6.45% of chips are collected, whereas escape and deposition are more pronounced, with respective ratios of 24.53% and 10.43%. Notably, as grinding angle decreases from +20° (field side) to -60° (gauge side), chip escape follows a rise-fall pattern, deposition drops markedly, while collection remains unchanged. Angles of +20° and -30° should be avoided. Moreover, higher suction volume mitigates chip escape, whereas both deposition and collection increase, with deposition rising more sharply. A volume of 13000 m<sup>3</sup>/h is recommended for chip collection and escape control, whereas 7000 m<sup>3</sup>/h is optimal for minimizing deposition. These findings offer valuable insights for enhancing the dedusting performance of rail grinding machinery.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110834"},"PeriodicalIF":9.4,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coupled DIC-crystal plasticity study of microscale strain localization in AISI 420 steel AISI 420钢微尺度应变局部化耦合dic -晶塑性研究
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-14 DOI: 10.1016/j.ijmecsci.2025.110833
Yadong Zhou, Kegu Lu, Redmer van Tijum, Maysam Naghinejad, Yutao Pei, Jan Post
{"title":"Coupled DIC-crystal plasticity study of microscale strain localization in AISI 420 steel","authors":"Yadong Zhou,&nbsp;Kegu Lu,&nbsp;Redmer van Tijum,&nbsp;Maysam Naghinejad,&nbsp;Yutao Pei,&nbsp;Jan Post","doi":"10.1016/j.ijmecsci.2025.110833","DOIUrl":"10.1016/j.ijmecsci.2025.110833","url":null,"abstract":"<div><div>This work investigates microscale strain localization and slip activity in ferritic AISI 420 stainless steel using an integrated approach of scanning electron microscopy-based digital image correlation (SEM-DIC), electron backscatter diffraction (EBSD), and crystal plasticity (CP) modeling. A novel aspect of this study is the direct coupling of multi-step SEM-DIC with CP modeling to link experimental strain fields with simulated slip activity. The microstructure, consisting of ferritic grains with finely dispersed carbides, exhibits early strain localization that intensifies under increasing global strain, ultimately forming interconnected shear bands. Statistical analyses indicate that localized deformation does not arise from any single microstructural parameter, such as grain size, grain boundary misorientation, maximum Schmid factor, or carbides’ effect, but rather from the combined influence of multiple constraints. Specifically, poor geometrical alignment of slip transfer at misaligned grain boundaries, restricted slip paths between ferrite grain boundaries and carbides, and limited deformation accommodation in smaller grains collectively promote strain localization. To further analyze slip transfer conditions, an accumulated-shear methodology is introduced to identify the dominant slip systems by integrating the loading history from multi-step DIC measurements, thereby enabling direct comparison with the corresponding CP-modeled variables. This method overcomes the transient limitations of velocity-gradient-based methods and provides a more reliable means of evaluating slip activity. Additionally, a CP model based on the DIC region of interest (ROI) microstructure reveals local stress heterogeneities at the microscale. This work offers insights into the mechanisms of microscale strain localization in ferritic stainless steel and highlights the critical role of microstructural features in triggering local deformation behavior.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110833"},"PeriodicalIF":9.4,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145159322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A statistically-based viscoelastic model for glass-forming polymers during cure 玻璃成型聚合物固化过程中基于统计的粘弹性模型
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-13 DOI: 10.1016/j.ijmecsci.2025.110832
Xiaotian Mao, Fulin Shang
{"title":"A statistically-based viscoelastic model for glass-forming polymers during cure","authors":"Xiaotian Mao,&nbsp;Fulin Shang","doi":"10.1016/j.ijmecsci.2025.110832","DOIUrl":"10.1016/j.ijmecsci.2025.110832","url":null,"abstract":"<div><div>Polymeric materials often exhibit complex viscoelastic behaviors during cure, which fundamentally arise from the dynamic processes of polymer network constituents in the rubbery and glass-forming state. However, these molecular mechanisms have not been fully integrated into the development of continuum model of cure-related viscoelasticity. By integrating statistical mechanics and mode coupling theory (MCT), this study develops a novel constitutive model for characterizing the cure-dependent viscoelastic behavior of glass-forming polymers. The proposed model treats the polymer network as a composite system consisting of two distinct dynamical components: (1) frozen Kuhn monomers underlying dynamics governed by MCT in the glass-forming state, and (2) entangled polymer chains following reptation dynamics in the rubbery state. The cure effects on these dynamics are considered by solving the MCT dynamic equations, which enables the derivation of a cure-related constitutive framework. The stress constitutive equation is derived from the statistical description of these dynamic processes. The model predictions are validated by comparing with the experimental data of four typical resins. The comparisons between theoretical predictions and experimental data are quite satisfactory. Furthermore, the physical insights of the stress relaxation behaviors in glassy and rubbery states are elaborated, together with a discussion of modeling the glass transition effects on the relaxation behaviors.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110832"},"PeriodicalIF":9.4,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145103444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bump morphology formation and transformation mechanism in solder droplet printing 焊滴印刷中凹凸形貌的形成及转变机理
IF 9.4 1区 工程技术
International Journal of Mechanical Sciences Pub Date : 2025-09-12 DOI: 10.1016/j.ijmecsci.2025.110826
Lang Wu , Jun Luo , Huanshu Tan , Yi Zhou , Ye Wang , Yibo Dou , Lehua Qi
{"title":"Bump morphology formation and transformation mechanism in solder droplet printing","authors":"Lang Wu ,&nbsp;Jun Luo ,&nbsp;Huanshu Tan ,&nbsp;Yi Zhou ,&nbsp;Ye Wang ,&nbsp;Yibo Dou ,&nbsp;Lehua Qi","doi":"10.1016/j.ijmecsci.2025.110826","DOIUrl":"10.1016/j.ijmecsci.2025.110826","url":null,"abstract":"<div><div>Solder droplet printing is a direct and efficient approach for fabricating bump arrays in advanced packaging. However, emerging 3D packaging requirements for high bonding strength and low-temperature processing demand bump morphologies with large initial contact areas and precisely controlled micro-protrusions, challenging conventional surface tension-dominated solidification mechanisms. In this study, the impact and solidification of solder droplets on copper substrates were systematically investigated to reveal bump formation and transformation mechanisms. Three morphologies were examined: conventional spherical bumps and two novel non-spherical morphologies (flat-top and protruding-top). High-speed photography and numerical simulations were employed to capture droplet retraction behaviors and jet dynamics under varying thermodynamic conditions. A quantitative relationship was established between the solder bump morphology and the thermodynamic coupling ratio (<em>λ</em> =<em>τ</em><sub>d</sub> / <em>τ</em><sub>sol</sub>), where <em>τ</em><sub>d</sub> is the droplet dynamic time scale and <em>τ</em><sub>sol</sub> is the solidification time scale. An increase in <em>λ</em> was found to promote the formation of a central jet and satellite droplets, driving bump morphology transitions. Furthermore, it was shown that <em>λ</em> is governed by the Ste and Pe numbers, leading to the development of a Ste-Pe morphology map for predicting solder bump morphologies. By utilizing this map, uniform spherical, flat-top and protruding-top ball-grid arrays with high dimensional consistency (Δ<em>h</em>/<em>h</em> &lt;2%) were printed. This study advances the understanding of metal droplet solidification beyond the traditional surface-tension-dominated paradigm and serves as a predictive design tool, transforming the empirical, trial-and-error bump fabrication process into a deterministic method vital for advanced electronic packaging and additive manufacturing.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110826"},"PeriodicalIF":9.4,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145108091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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