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Uniformly ultimate boundedness for discontinuous systems with time-delay 被引量:2
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作者 慕小武 丁志帅 程桂芳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第9期1187-1196,共10页
The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.Based on the Lyapunov-Krasovskii functional,the Lyapunov theorem for the globally strongly un... The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.Based on the Lyapunov-Krasovskii functional,the Lyapunov theorem for the globally strongly uniformly ultimate boundedness of retarded discontinuous systems is presented.Furthermore,the result is applied to a class of mechanical systems with a retarded discontinuous friction item. 展开更多
关键词 Filippov solution uniformly ultimate boundedness discontinuous system ratarded system
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BOUNDEDNESS AND UNIFORM BOUNDEDNESS RESULTS FOR CERTAIN NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF FOURTH ORDER
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作者 Cemil Tunc(西密尔·通兹) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第11期1273-1278,共6页
Sufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bounded and uniformly bounded.
关键词 differential equation of fourth order Liapunov function boundedness uniform boundedness
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Uniform Boundedness for Neutral Equations with Unbouned Delay
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作者 徐志庭 温立志 《Northeastern Mathematical Journal》 CSCD 2003年第4期311-322,共12页
We consider a system of neutral equations with unbounded delay, and derive conditions on Liapunov functionals to ensure that the solutions are uniformly bounded and uniformly ultimately bounded.
关键词 neutral equations with unbounded delay uniformly bounded uniformly ultimately bounded Liapunov functional
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基于注意力增强Uniformer的锂电池剩余使用寿命预测
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作者 廖列法 刘映宝 占玉敏 《汽车技术》 北大核心 2025年第6期36-44,共9页
针对锂离子电池的剩余使用寿命(RUL)预测时常面临数据的动态变化和老化数据有限的问题,提出注意力增强Uniformer(AEUniformer)的RUL预测模型,通过Uniformer整合卷积神经网络(CNN)和自注意力机制的优势实现全面的信息感知;设计注意力引... 针对锂离子电池的剩余使用寿命(RUL)预测时常面临数据的动态变化和老化数据有限的问题,提出注意力增强Uniformer(AEUniformer)的RUL预测模型,通过Uniformer整合卷积神经网络(CNN)和自注意力机制的优势实现全面的信息感知;设计注意力引导机制(AGM)和CoordAttention实现强大的特征提取。试验结果表明,AEUniformer可以实现仅需单个老化周期的准确快速的RUL预测,数据集的平均绝对百分比误差分别为2.7%和6.16%,证明了该方法的准确性。 展开更多
关键词 锂电池 剩余使用寿命预测 数据驱动 统一变形器 注意力引导机制 坐标注意力
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A New Uniformly Ultimate Boundedness Criterion for Discrete-Time Nonlinear Systems
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作者 Zhishuai Ding Guifang Cheng 《Applied Mathematics》 2011年第11期1323-1326,共4页
A new type criterion of globally uniformly ultimate boundedness for discrete-time nonlinear systems is introduced. In classical Lyapunov theory about globally uniformly ultimate boundedness, Lyapunov function is assum... A new type criterion of globally uniformly ultimate boundedness for discrete-time nonlinear systems is introduced. In classical Lyapunov theory about globally uniformly ultimate boundedness, Lyapunov function is assumed to be positive definite and its difference at the every latter moment and the former moment is negative definite. In this paper the condition of difference of Lyapunov function is relaxed. Under the relaxed condition, the result of this paper can be considered as the extension of the classical Lyapunov theory about uniformly ultimate boundedness. 展开更多
关键词 uniformLY ULTIMATE boundedness LYAPUNOV Function DISCRETE-TIME Nonlinear Systems
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Stability and Uniform Boundedness for a Class of Anaerobic Digestion Ecological Models
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作者 李明奇 《Journal of Electronic Science and Technology of China》 2004年第2期87-89,共3页
Stability, boundedness and persistence are three important aspects for an ecological model. In this paper, a further analysis of a class of anaerobic digestion ecological models is performed. Based on the Liupunov Met... Stability, boundedness and persistence are three important aspects for an ecological model. In this paper, a further analysis of a class of anaerobic digestion ecological models is performed. Based on the Liupunov Method, the local stability of all equilibria in the system is got. According to the vector fields described by the system, the proof of the boundedness of the solution on the anaerobic digestion processes is completed in three steps. The method proposed in the discussion on the boundedness can be generalized to the similar problems. Results in this paper give information on how to run the ecological system well by adjusting the system parameters. 展开更多
关键词 anaerobic digestion processes ecological models of microbes STABILITY uniform boundedness
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THE SPECTRAL RADIUS OF UNIFORM HYPERGRAPH DETERMINED BY THE SIGNLESS LAPLACIAN MATRIX
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作者 HE Fang-guo 《数学杂志》 2025年第1期1-12,共12页
This paper studies the problem of the spectral radius of the uniform hypergraph determined by the signless Laplacian matrix.The upper bound of the spectral radius of a uniform hypergraph is obtained by using Rayleigh ... This paper studies the problem of the spectral radius of the uniform hypergraph determined by the signless Laplacian matrix.The upper bound of the spectral radius of a uniform hypergraph is obtained by using Rayleigh principle and the perturbation of the spectral radius under moving the edge operation,and the extremal hypergraphs are characterized for both supertree and unicyclic hypergraphs.The spectral radius of the graph is generalized. 展开更多
关键词 spectral radius uniform hypergraph Signless Laplasian matrix
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Adaptive-basis decomposition-based low-rank network for efficient non-uniform motion deblurring
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作者 CHEN Lei XIONG Qingbo +1 位作者 ZHANG Wei LI Runde 《Optoelectronics Letters》 2025年第1期43-50,共8页
In this study,we present a unified sparsity-driven framework that significantly enhances motion deblurring performance by integrating two key components:a custom-designed dataset and a low-rank module(LRM).This framew... In this study,we present a unified sparsity-driven framework that significantly enhances motion deblurring performance by integrating two key components:a custom-designed dataset and a low-rank module(LRM).This framework leverages the inherent sparsity of per-pixel blur kernels to bolster both deblurring accuracy and model interpretability.Firstly,we propose an adaptive-basis decomposition-based deblurring(ADD)approach,which constructs a tailored training dataset to enhance the generalization capacity of the deblurring network.The ADD framework adaptively decomposes motion blur into sparse basis elements,effectively addressing the intricacies associated with non-uniform blurs.Secondly,an LRM is proposed to improve the interpretability of deblurring models as a plug-and-play module,primarily designed to identify and harness the intrinsic sparse features in sharp images.A series of ablation studies have been conducted to substantiate the synergistic advantages of combining the proposed ADD with the LRM for overall improvement in deblurring efficacy.Subsequently,we empirically demonstrate through rigorous experimentation that incorporating the LRM into an existing Uformer network leads to substantial enhancement in reconstruction performance.This integration yields a sparsity-guided low-rank network(SGLRN).Operating under the overarching principle of sparsity,SGLRN consistently outperforms state-of-the-art methods across multiple standard deblurring benchmarks.Comprehensive experimental results,assessed through quantitative metrics and qualitative visual evaluations,provide compelling evidence of its effectiveness.The overall deblurring results are available at Google Drive. 展开更多
关键词 NETWORK motion uniform
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The boundedness in a chemotaxis-haptotaxis system with ECM-dependent sensitivity
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作者 LIU Jiao LI Zhong-ping 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第1期20-32,共13页
This paper deals with a chemotaxis-haptotaxis system with ECM-dependent sensitivity under the Neumann boundary conditions in a smooth bounded domain.It is shown that the system possesses a globally bounded solution un... This paper deals with a chemotaxis-haptotaxis system with ECM-dependent sensitivity under the Neumann boundary conditions in a smooth bounded domain.It is shown that the system possesses a globally bounded solution under some conditions. 展开更多
关键词 global boundedness chemotaxis-haptotaxis ECM-dependent sensitivity
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My Views on School Uniforms
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作者 徐迪迪 《中学生英语》 2025年第18期6-6,共1页
At our school,we have to wear uniforms every day.The problem is that all my classmates think the uniforms are ugly.We think young people should look smart,because①we would like to wear our own clothes.Our teachers th... At our school,we have to wear uniforms every day.The problem is that all my classmates think the uniforms are ugly.We think young people should look smart,because①we would like to wear our own clothes.Our teachers think that if we do that,we will concentrate much②on our clothes than our studies.We don't agree. 展开更多
关键词 STUDIES school uniforms CLOTHING APPEARANCE
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L^(P) BOUNDEDNESS OF COMMUTATOR AND HÖRMANDER CONDITION
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作者 Qixiang YANG Haibo YANG +1 位作者 Chitin HON Tao QIAN 《Acta Mathematica Scientia》 2025年第5期2171-2189,共19页
For 1<p<∞,Coifman-Rochberg-Weiss established L^(p) boundedness of commutators of smooth kernels.Later,many works tried to weaken the smooth condition.In this paper,we extend these mentioned results to the case ... For 1<p<∞,Coifman-Rochberg-Weiss established L^(p) boundedness of commutators of smooth kernels.Later,many works tried to weaken the smooth condition.In this paper,we extend these mentioned results to the case of non-homogeneous but with strong H¨ormander condition.Our main skills lie in wavelet decomposition,wavelet commutators,Hardy-Littlewood maximal operator and Fefferman-Stein's vector-valued maximum function Theorem. 展开更多
关键词 WAVELETS COMMUTATOR Hardy space Hormander condition vector-valued max-imum function Lp boundedness
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Boundedness in Discontinuous Oscillations at Nonresonance
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作者 BIAN Jing-ke LIU Jie 《Chinese Quarterly Journal of Mathematics》 2025年第2期180-202,共23页
In this paper,In this paper,we first consider a specific discontinuous differential equation for a smooth and discontinuous(SD)oscillator x′′+2x(1-1√x^(2)+α^(2))=p(t),where p(t)is a given smooth 2π-periodic forci... In this paper,In this paper,we first consider a specific discontinuous differential equation for a smooth and discontinuous(SD)oscillator x′′+2x(1-1√x^(2)+α^(2))=p(t),where p(t)is a given smooth 2π-periodic forcing function andαis a real parameter.Inspired by this special discontinuous oscillator,we study a more general discontinuous oscillator x′′+ω^(2)x+ϕ(x)=p(t),whereω∈R^(+)\N andϕ(x)has one discontinuous point.We show that every solution of this general discontinuous oscillator is bounded when some conditions are satisfied. 展开更多
关键词 Non-smooth dynamical systems boundedness of solutions SD oscillator
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Theoretical and Experimental Investigations on Thickness Uniformity in Double-sided Lapping
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作者 Zhuolin Cai Zhe Yang +4 位作者 Bo Pan Jiale Lian Lianlin Wang Sergei Pronkevich Jiang Guo 《Chinese Journal of Mechanical Engineering》 2025年第3期151-163,共13页
The double-sided lapping process is extensively employed in the manufacturing of wafers,optical windows,and seal rings due to its high efficiency and ability to achieve precise flatness.However,limited research has ex... The double-sided lapping process is extensively employed in the manufacturing of wafers,optical windows,and seal rings due to its high efficiency and ability to achieve precise flatness.However,limited research has explored the thickness uniformity among different workpieces after double-sided lapping,and the underlying mechanism remains unclear.To address the demand for higher precision,this paper first analyzed the relative kinematic model between the workpiece and the lapping plate to clarify the causes of thickness variations among workpieces after double-sided lapping.Subsequently,a finite element method(FEM)model was developed to account for the pressure distribution on the workpiece surfaces at the initial stage of the process.The results indicate that the number of workpieces influences the final thickness variation.Then,various sets of thin copper plates with different thicknesses were lapped,and the findings revealed that five copper plates processed simultaneously exhibited more uniform thickness compared to the three plates.The experimental results align well with the theoretical analysis.Ultimately,a thickness variation of less than 6μm was achieved on five copper plates measuringΦ100×2.9 mm.This study presents a comprehensive analysis of the mechanisms influencing thickness uniformity in the double-sided lapping process and provides practical guidelines for optimizing the process to achieve stringent precision standards in industrial applications. 展开更多
关键词 Double-sided lapping Thickness uniformity Theoretical analysis FEM Thin copper plate
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Emulation of short-term and long-term synaptic plasticity with high uniformity in chalcogenide-based diffusive memristor device for neuromorphic applications
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作者 Haider Abbas Jiayi Li +3 位作者 Asif Ali Sajjad Hussain Jongwan Jung Diing Shenp Ang 《Journal of Materials Science & Technology》 2025年第13期99-107,共9页
Emerging bio-inspired computing systems simulate the cognitive functions of the brain for the realiza-tion of future computing systems.For the development of such efficient neuromorphic electronics,the emulation of sh... Emerging bio-inspired computing systems simulate the cognitive functions of the brain for the realiza-tion of future computing systems.For the development of such efficient neuromorphic electronics,the emulation of short-term and long-term synaptic plasticity behaviors of the biological synapses is an es-sential step.However,the electronic synaptic devices suffer from higher variability issues which hinder the application of such devices to build neuromorphic systems.For practical applications,it is essen-tial to minimize the cycle-to-cycle and device-to-device variations in the synaptic functions of artifi-cial electronic synapses.This study involves the fabrication of diffusive memristor devices using WTe_(2) chalcogenide as the main switching material.The choice of the switching material provides a facile so-lution to the variability problem.The greater uniformity in the switching characteristics of the WTe_(2)-based memristor offers higher uniformity for the synaptic emulation.These devices exhibit both volatile and nonvolatile switching properties,allowing them to emulate both short-term and long-term synaptic functions.The WTe_(2)-based electronic synaptic devices present a high degree of uniformity for the emula-tion of various essential biological synaptic functions including short-term potentiation(STP),long-term potentiation(LTP),long-term depression(LTD),spike-rate-dependent plasticity(SRDP),and spike-timing-dependent plasticity(STDP).A higher recognition accuracy of∼92%is attained for pattern recognition using the modified National Institute of Standards and Technology(MNIST)handwritten digits,which is attributed to the enhanced linearity and higher uniformity of LTP/LTD characteristics. 展开更多
关键词 Diffusive memristor Chalcogenide switching layer WTe_(2) uniformITY Neuromorphic computing
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Improvement of Mechanical Properties and Wall Thickness Uniformity of Hollow Ceramic Spheres by Biaxial Rotation Slurry Injection Technology
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作者 WANG Qiuyang ZHOU Jian +2 位作者 LIU Guizhen WANG Lin DING Zhongjun 《Journal of Wuhan University of Technology(Materials Science)》 2025年第3期619-626,共8页
Ceramic hollow spheres have great potential for deep-sea applications.However,the irregularity of the conventional molding process,among other reasons,results in low wall thickness uniformity of hollow spheres.To solv... Ceramic hollow spheres have great potential for deep-sea applications.However,the irregularity of the conventional molding process,among other reasons,results in low wall thickness uniformity of hollow spheres.To solve this problem,in this work,we developed a biaxial rotation grouting process for deep-sea ceramic hollow buoyancy spheres,which improves the drawbacks of the traditional rotary grouting method that results in poor wall thickness uniformity of the hollow spheres due to its irregular rotational processing.In this paper,an experimental study was carried out to investigate the effects of different rotational methods,rotational speeds,rotational time,solid phase content,etc.on the wall thickness uniformity of ceramic hollow spheres.The results show that the hollow floating balls prepared by the biaxial rotation method have the lowest wall thickness standard deviation(0.04)when the rotation speed is 60 rpm,the molding time is 8 min,and the solid phase content is 70 wt%.After the hydrostatic pressure test of 120 MPa,the hydrostatic compressive strength of hollow spheres prepared by the biaxial rotation method was increased by 31.67%compared with that of the traditional process. 展开更多
关键词 ceramic hollow sphere biaxial rotation monolithic molding wall thickness uniformity
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Uniformity of microbial injection for reinforcing saturated calcareous sand: A multi-test approach
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作者 Xinlei Zhang Yue Sun +3 位作者 Yumin Chen Lu Liu Wenwen Li Yi Han 《Biogeotechnics》 2025年第2期52-61,共10页
The mineralization process of microbial-induced calcium carbonate precipitation(MICP)is influenced by many factors,and the uniformity of the calcium carbonate precipitation has become the main focus and challenge for ... The mineralization process of microbial-induced calcium carbonate precipitation(MICP)is influenced by many factors,and the uniformity of the calcium carbonate precipitation has become the main focus and challenge for MICP technology.In this study,the uniformity of the saturated calcareous sand treated with MICP was in-vestigated through one-dimensional calcareous sand column tests and model tests.The coefficient of variation was employed in one-dimensional sand column tests to investigate the impact of injection rate,cementation solution concentration,and number of injection cycles on the uniformity of the MICP treatment.Additionally,model tests were conducted to investigate the impact of injection pressure and methods on the treatment range and uniformity under three-dimensional seepage conditions.Test results demonstrate that the reinforcement strength and uniformity are significantly influenced by the injection rate of the cementation solution,with a rate of 3 mL/min,yielding a favorable treatment effect.Excessive concentration of the cementation solution can lead to significant non-uniformity and a reduction in the compressive strength of MICP-treated samples.Conversely,excessively low concentrations may result in decreased bonding efficiency.Among the four considered con-centrations,0.5 mol/L and 1 mol/L exhibit superior reinforcing effects.The morphological development of calcareous sandy foundation reinforcement is associated with the spatial distribution pattern of the bacterial solution,exhibiting a relatively larger reinforcement area in proximity to the lower region of the model and a gradually decreasing range towards the upper part.Under three-dimensional seepage conditions,in addition to the non-uniform radial cementation along the injection pipe,there is also vertical heterogeneity of cementation along the length of the injection pipe due to gravitational effects,resulting in preferential deposition of calcium carbonate at the lower section,The application of injection pressure and a double-pipe circulation injection method can mitigate the accumulation of bacterial solution and cementation solution at the bottom,thereby improving the reinforcement range and uniformity. 展开更多
关键词 MICP Calcareous sand Reinforcement uniformity One-dimensional sand column tests Model tests
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Insights Into Improving the Li‐Ion Transference Number and Li Deposition Uniformity Toward a High‐Current‐Density Lithium Metal Anode
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作者 Subi Yang Seungho Lee +8 位作者 Min Sung Kang Kwang Chul Roh Jihoon Seo Dongsoo Lee Kwanghyun Kim Sangkyu Lee Sung Beom Cho Patrick Joohyun Kim Junghyun Choi 《Carbon Energy》 2025年第11期94-107,共14页
The practical application of lithium(Li)metal batteries(LMBs)faces challenges due to the irreversible Li deposition/dissolution process,which promotes Li dendrite growth with severe parasitic reactions during cycling.... The practical application of lithium(Li)metal batteries(LMBs)faces challenges due to the irreversible Li deposition/dissolution process,which promotes Li dendrite growth with severe parasitic reactions during cycling.To address these issues,achieving uniform Li‐ion flux and improving Li‐ion conductivity of the separator are the top priorities.Herein,a separator(PCELS)with enhanced Li‐ion conductivity,composed of polymer,ceramic,and electrically conductive carbon,is proposed to facilitate fast Li‐ion transport kinetics and increase Li deposition uniformity of the LMBs.The PCELS immobilizes PF6–anions with high adsorption energies,leading to a high Li‐ion transference number.Simultaneously,the PCELS shows excellent electrolyte wettability on both its sides,promoting rapid ion transport.Moreover,the electrically conductive carbon within the PCELS provides additional electron transport channels,enabling efficient charge transfer and uniform Li‐ion flux.With these advantages,the PCELS achieves rapid Li‐ion transport kinetics and uniform Li deposition,demonstrating excellent cycling stability over 100 cycles at a high current density of 12.0 mA cm^(-2).Furthermore,the PCELS shows stable cycling performances in Li–S cell tests and delivers an excellent capacity retention of 95.45%in the Li|LiFePO_(4) full‐cell test with a high areal capacity of over 5.5 mAh cm^(-2). 展开更多
关键词 Li metal batteries Li‐ion conductivity separator modification uniform Li deposition
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Shining light on fillers uniform dispersion of PVDF/garnet composite electrolytes for high-performance solid-state Li batteries: fundamentals, progress and perspectives
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作者 Yi-Hui Liu Fei Wang +4 位作者 Hao-Bo Wang Chun-Yang Kong Guang-Xin Wang Xian-Ming Liu Yong Liu 《Rare Metals》 2025年第9期5957-5979,共23页
Polyvinylidene fluoride(PVDF)/garnet composite polymer electrolytes(CPEs) have shown great potential in the development of solid-state lithium metal batteries(SSLMBs) due to their excellent flexibility, high ionic con... Polyvinylidene fluoride(PVDF)/garnet composite polymer electrolytes(CPEs) have shown great potential in the development of solid-state lithium metal batteries(SSLMBs) due to their excellent flexibility, high ionic conductivity and superior mechanical strength.However, uneven dispersion of garnet fillers in CPEs would lead to deterioration of lithium metal batteries(LMBs) performance and severely limit their widespread application. Considering the rapidly growing research of addressing above-mentioned issue, herein, recent progress in the design and fabrication of uniformly dispersed fillers in PVDF/garnet CPEs for high-performance SSLMBs is summarized. We firstly analyze the mechanism for the aggregation of inorganic fillers, and provide a detailed introduction to the strategies for solving the uneven dispersion of nanoparticles in solid electrolytes. Moreover, we also comprehensively summarize their applications in PVDF/garnet electrolytes and their impact on the electrochemical performance of SSLMBs. Finally, the application challenges and future prospects of PVDF/garnet CPEs in SSLMBs were also proposed to promote their further development. It is anticipated that this review could inspire ongoing research interest in rational designing and fabricating novel CPEs for high-performance SSLMBs. 展开更多
关键词 PVDF/garnet composite electrolytes Li metal battery uniform dispersion Mechanism Electrochemical performance
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Degradation of fully saturated uniform sand subjected to small-strain undrained cyclic shearing
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作者 Vedran Jagodnik Tea Sulovsky 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第10期6662-6677,共16页
In soil dynamics,cyclic tests on sands have been extensively studied over the past several decades.Among the natural materials most susceptible to strength loss due to earthquakes,sands are commonly tested under varyi... In soil dynamics,cyclic tests on sands have been extensively studied over the past several decades.Among the natural materials most susceptible to strength loss due to earthquakes,sands are commonly tested under varying loading,frequency,and drainage conditions.Traditionally,it has been assumed that pore pressure increases with constant strength loss once the threshold for pore pressure build-up is reached.However,recent studies have revealed that at small strains,the material initially hardens despite the generation of pore pressure.This paper presents the response and degradation of uniformly graded Drava River sand(DrOS018),similar to well-known sands such as Toyoura,Nevada or Ottawa sands,and the initial hardening phenomena that occur around threshold strains.Tests were conducted using a triaxial cyclic device at three relative densities and cell pressures(100 kPa,200 kPa,and 400 kPa)under undrained conditions.Strain-controlled tests were conducted at 0.1 Hz and 0.05 Hz using sinusoidal loading,with samples prepared by under-compaction.After crossing the threshold,the sand initially shows hardening(degradation index greater than 1)with up to a 35%increase in pore pressure,followed by strength degradation at higher strains.This study is critical for seismic design and safety,particularly for fully saturated sands in coastal and high water table areas.The findings enhance our understanding of liquefaction potential and site response,aiding more informed engineering practices by contributing to enhanced knowledge in soil dynamics and improved predictive models.The results support effective mitigation strategies and infrastructure resilience in earthquake-prone regions such as Croatia. 展开更多
关键词 Cyclic triaxial test uniform drava river sand Degradation index Normalized pore water pressure
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Seeking Harmony without Uniformity in Mutual Learning: Diversity of Civilisations from the Sinologists' Perspective
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《International Understanding》 2025年第2期28-29,共2页
On the morning of May 31st,the parallel forum"Seeking Harmony without Uniformity in Mutual Learning:Diversity of Civilisations from the Sinologists'Perspective"was held in Dunhuang.The forum was hosted b... On the morning of May 31st,the parallel forum"Seeking Harmony without Uniformity in Mutual Learning:Diversity of Civilisations from the Sinologists'Perspective"was held in Dunhuang.The forum was hosted by the Chinese Association for International Understanding and organised by Beijing Language and Culture University.Leading Sinologists and Chinese culture researchers from Europe,Asia and Latin America gathered to discuss the theme of civilisational diversity and explore pathways for coexistence and mutual enrichment. 展开更多
关键词 mutual learning civilisations parallel forum civilisational diversity diversity civilizations parallel forumseeking chinese culture researchers harmony uniformity
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