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Painlevéanalysis and analytic solutions of a generalized(3+1)-dimension variable-coefficient nonlinear evolution equation in fluid mechanics and plasma physics 认领 引用
1
作者 Hao-Qing Chen Guang-Mei Wei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第6期14-27,共14页
In this paper,a generalized(3+1)-dimension variable-coefficient nonlinear evolution equation is investigated,which serves as a model for describing nonlinear wave behaviors in shallow water,ion-acoustic wave fluid mec... In this paper,a generalized(3+1)-dimension variable-coefficient nonlinear evolution equation is investigated,which serves as a model for describing nonlinear wave behaviors in shallow water,ion-acoustic wave fluid mechanics and plasma physics.The Painlevéintegrability is tested by the Weiss,Tabor and Carnevale(WTC)method with the simplified form of Krustal.The bilinear form of the equation is derived through the application of the Hirota bilinear method.Building on the bilinear equation,a broad range of analytical solutions are then obtained,including X-shaped and Y-shaped soli ton solutions,lump solution,breather solution,and interaction solutions.In addition,another type of soliton solution,periodic solution,and ratio of trigonometric functions are derived. 展开更多
关键词 (3+1)-dimension nonlinear evolution equation Painlevéintegrability Hirota bilinear method soliton solution lump solution breather solution
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The externally forced Boussinesq equation and its Wronskian and soliton-like solutions 认领 引用
2
作者 Liyang Xu Xiaojun Yin +1 位作者 Na Cao Shuting Bai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第1期30-36,共7页
This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive ... This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive the nonlinear Boussinesq equation with external sources.We demonstrate the existence of explicit zero-order and first-order Wronskian solutions for the model equation whenα4=0.Furthermore,using a modified Jacobi elliptic function method,we obtain soliton-like solutions for bothα4=0 andα4≠0.Analysis of these solutions reveals that the generalizedβ-plane approximation and shear flow are significant factors in inducing nonlinear Rossby waves,and that external sources play a crucial role in influencing Rossby wave behavior. 展开更多
关键词 rossby waves boussinesq equation Wronskian solutions soliton-like solutions
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ANALYSIS ON EXACT SOLUTIONS FOR THE INCOMPRESSIBLE EULER EQUATIONS IN RN 认领 引用
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作者 Xinglong WU Boling GUO 《Acta Mathematica Scientia》 SCIE CSCD 2026年第4期1827-1840,共14页
The present is concerned with the study of blow-up and global existence of the spherically symmetric solutions for the incompressible Euler equations in RN for any dimension N≥2.The approach is to construct explicit ... The present is concerned with the study of blow-up and global existence of the spherically symmetric solutions for the incompressible Euler equations in RN for any dimension N≥2.The approach is to construct explicit solution with spherical symmetry to study certain blow-up and no blow-up phenomena of solutions to the incompressible Euler equation in RN. 展开更多
关键词 the incompressible Euler equations blow-up phenomena global existence of solution spherically symmetric solutions the asymptotic behavior
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MULTIPLICITY OF NORMALIZED SOLUTIONS FOR NONLINEAR KIRCHHOFF-TYPE PROBLEMS 认领 引用
4
作者 Liping XU Haibo CHEN 《Acta Mathematica Scientia》 SCIE CSCD 2026年第3期1248-1268,共21页
This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN)... This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN),where f∈C(R,R),a,b>0 are constants,μ∈R is not fixed and instead appears as a Lagrange multiplier and m>0 is a given constant.In a mass subcritical case,using a version of the minimax theorem([32,Theorem 2.1])for a class of constrained even functionals,we demonstrate the existence of one nonradial normalized solution when N≥4.Additionally,if N≥4 and N≠5,we obtain multiple nonradial normalized solutions.Moreover,the existence of infinitely many radial normalized solutions is explored for N≥2.Furthermore,all solutions discussed above are sign-changing.As a supplementary result,we also prove the nonexistence of nontrivial solutions.Lastly,we analyze the asymptotic behavior of all solutions obtained above as b→0. 展开更多
关键词 Kirchhoff-type equations multiple nonradial and radial normalized solutions sign-changing solutions asymptotic behavior
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Vision Sensing for Intelligent Driving:Technical Challenges and Innovative Solutions 认领 引用 被引量：1
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作者 Xinle Gong Zhihua Zhong 《Engineering》 SCIE EI CSCD 2026年第2期18-22,共5页
1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition... 1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition data,assisting driving decisions,and enabling autonomous driving functions.Compared with other in-vehicle perception sensors,vision sensors deliver more detailed and comprehensive environmental information,offering vital data to support intelligent driving decision-making and control[1].Therefore,the accuracy and reliability of visual perception directly influence the safety and performance of intelligent driving systems,making it a central factor in achieving truly intelligent and autonomous vehicles.Fig.1 illustrates the vision sensing in intelligent driving. 展开更多
关键词 innovative solutions vision sensing vision sensors intelligent driving systemsproviding vehicle vision sensors road condition autonomous driving intelligent driving
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HRR-PINN:A Deep Learning Method for Solving Complex Data-Driven Solutions 认领 引用
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作者 Huijuan Zhou Yong Chen 《Chinese Physics Letters》 SCIE EI CAS CSCD 2026年第4期14-20,共7页
Physics-informed neural networks(PINNs)have emerged as powerful tools for data-driven solutions of partial differential equations.However,when solving complex solutions with a sharp gradient or waveform mutation regio... Physics-informed neural networks(PINNs)have emerged as powerful tools for data-driven solutions of partial differential equations.However,when solving complex solutions with a sharp gradient or waveform mutation region,the traditional PINNs method frequently has significantly higher prediction errors in critical regions than in other areas because of randomly or uniformly distributed sampling points.To overcome the limitations of PINNs in solving complex solutions,we propose a high-residual region resampling PINN(HRR-PINN)method.The HRR-PINN method uses a two-stage paradigm.Pre-training focuses on global modeling to obtain the residual of the network training,which is helpful for achieving a more precise sampling optimization.Secondary training focuses on computational resources of critical regions to specialize in optimizing high-residual regions based on the global results of pretraining,that is,adding new points in high-residual regions and removing low-residual points from the original set.To illustrate the effectiveness of the HRR-PINN method,we applied it to single-periodic solutions,rogue wave solutions on single-periodic backgrounds,and double-periodic solutions of the second-type derivative nonlinear Schr¨odinger equation.Numerical experiments show that the HRR-PINN method significantly optimizes the distribution of sampling points and reduces prediction errors.This confirms the effectiveness for solving complex solutions with abrupt waveform changes or sharp gradients of the HRR-PINN method. 展开更多
关键词 waveform mutation regionthe Physics Informed Neural Networks High Residual Region Resampling complex solutions Partial Differential Equations sharp gradient complex solutionswe
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Analytical solution for longitudinal seismic response of variable stiffness tunnel with isolation layers under shear waves 认领 引用
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作者 LIU Xiang YANG Jiao-jiao +3 位作者 LI Kui-chen LU Tong JIANG An-nan FANG Qian 《Journal of Central South University》 SCIE EI CAS CSCD 2026年第6期2844-2867,共24页
Seismic isolation design typically emphasizes transverse responses of tunnels,with comparatively limited research on longitudinal isolation responses.Previous analytical solutions for isolation response are inapplicab... Seismic isolation design typically emphasizes transverse responses of tunnels,with comparatively limited research on longitudinal isolation responses.Previous analytical solutions for isolation response are inapplicable to variable stiffness tunnels.To address research gaps,analytical solutions for longitudinal seismic responses of variable stiffness tunnels with isolation layers are proposed.The solution can be applied to engineering practice.The mechanical model of isolation layers is developed using the Kelvin model.The variable stiffness tunnel is simplified as two semi-infinite beams embedded in homogeneous and isotropic soil layers.Governing equations are solved using integral transformations and continuity conditions.Analytical expressions are obtained by introducing displacement phase angles to simulate traveling wave effects.The proposed analytical solutions are validated through comparisons with results from existing literature and verified using numerical simulations.Parametric sensitivity analyses are conducted to investigate effects of tunnels with and without an isolation layer,isolation layer thickness and elastic modulus,tunnel stiffness ratio,and wavelength and amplitude of shear waves on seismic responses of variable stiffness tunnels.Changes in stiffness have a more significant effect on internal forces than displacements.Additionally,isolation layer's thickness and elastic modulus can be optimized through our method to balance structural performance and economic efficiency. 展开更多
关键词 isolation layer variable stiffness tunnel analytical solution seismic response shear waves
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Preparation of high-modulus sodium silicate solution and high Al/Si alumina-bearing concentrate from activated roasting clinker of coal fly ash 认领 引用
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作者 WANG Peng QI Tian-gui +5 位作者 LI Xiao-bin WANG Yi-lin SHEN Lei-ting LIU Gui-hua PENG Zhi-hong ZHOU Qiu-sheng 《Journal of Central South University》 SCIE EI CAS CSCD 2026年第2期647-661,共15页
Simultaneously preparing sodium silicate solution with high modulus and obtaining aluminum concentrate with high Al/Si ratio from activated roasting clinker is the key to a new method for clean utilization of coal fly... Simultaneously preparing sodium silicate solution with high modulus and obtaining aluminum concentrate with high Al/Si ratio from activated roasting clinker is the key to a new method for clean utilization of coal fly ash.This study systematically investigates the leaching mechanism of SiO2 from activated roasting clinker in sodium silicate solution and proposes an optimized leaching process.The colloidal particles formed by the condensation of siloxane groups increase the diffusion resistance of the leaching agent in the capillary pores,and the SiO2 deep inside the pores is difficult to contact with the leaching agent,which is an important reason for the insufficient leaching of SiO2 in high modulus sodium silicate solution.A two-stage countercurrent leaching process proposed can simultaneously prepare sodium silicate solution with modulus greater than 2.5 and aluminum concentrate with high Al/Si ratio exceeding 11.This work provides a potential application solution for the development of clean and economically feasible technologies for the utilization of fly ash. 展开更多
关键词 coal fly ash activated roasting cristobalite sodium silicate solution leaching mechanism
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Corrosion Behavior of FeCrxMnAlCu High-Entropy Alloys in 3.5wt% NaCl Solution 认领 引用
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作者 Feng Li Zhang Xian +4 位作者 Ma Kai Zhao Yanchun Ling Yajun Liu Ruilong Fu Xuan 《稀有金属材料与工程》 SCIE EI CAS CSCD 北大核心 2026年第4期877-889,共13页
In this study,FeCrxMnAlCu(x=0,0.5,1.0,1.5,2.0)high-entropy alloys were fabricated using vacuum arc melting,and the corrosion behavior of these alloys in 3.5wt%NaCl solution at room temperature was investigated by e... In this study,FeCrxMnAlCu(x=0,0.5,1.0,1.5,2.0)high-entropy alloys were fabricated using vacuum arc melting,and the corrosion behavior of these alloys in 3.5wt%NaCl solution at room temperature was investigated by electrochemical dynamic potential polarization curves and immersion experiments.The microstructure results show that the high-entropy alloy with x=0 has a body-centered cubic phase structure,whereas the high-entropy alloys with x=0.5–2.0 have a mixed face-centered cubic+body-centered cubic dual-phase structure.The corrosion results show that the corrosion resistance of the high-entropy alloy is increased with the increase in Cr content.Among them,the high-entropy alloy with x=2.0 exhibits the optimal corrosion resistance:the highest self-corrosion potential(Ecorr=−0.354 V vs.Ag/AgCl),the smallest self-corrosion current density(Icorr=1.991×10−6A·cm−2),and the smallest corrosion rate(0.0292 mm/a).The composite passivation film of oxides and hydroxides is formed on the surface of the corroded high-entropy alloys,and the Cr2O3content is increased with the increase in Cr content,which effectively improves the stability and protective properties of the passivation film. 展开更多
关键词 corrosion resistance high-entropy alloy passivation film salt solution corrosion
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Orthogonal Optimization of Solution Treatment and Aging Process for TB18 Titanium Alloy and Toughness Regulation Mechanism 认领 引用
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作者 Gao Huixian Li Ke +7 位作者 Shao Shan Yang Haoxue Li Qinqin Zhao Yanru Luo Wenzhong Feng Yong Lei Qiang Liu Xianghong 《稀有金属材料与工程》 SCIE EI CAS CSCD 北大核心 2026年第4期841-855,共15页
To investigate the effect of solution treatment and aging process parameters on the microstructure and mechanical properties of TB18 titanium alloy,process optimization research was conducted based on the mixed-level ... To investigate the effect of solution treatment and aging process parameters on the microstructure and mechanical properties of TB18 titanium alloy,process optimization research was conducted based on the mixed-level orthogonal experiment design of factor levels.Results show that through range analysis,the significance order of process parameters is determined as follows:solution cooling method>solution temperature>aging time>aging temperature>solution time.Considering the strength-ductility matching and engineering application requirements,the benchmark parameters are selected as solution time of 1 h,solution cooling method of air cooling(AC),aging temperature of 525℃,and aging time of 4 h.Furthermore,the effects of solution temperature in the range of 790–870℃ on the impact toughness and micro-fracture characteristics of the alloy were studied.The results reveal that the larger the area of shear lip and fibrous zone,and the smaller the area of radiation zone,the better the toughness of the alloy.With the increase in solution temperature,the length of secondary cracks on the fracture surface increases,the number of dimples increases,and the toughness is enhanced.Based on the collaborative optimization of strength and toughness,the optimal heat treatment process for TB18 alloy is determined as 870℃/1 h,AC+525℃/4 h,AC. 展开更多
关键词 TB18 titanium alloy solution and aging orthogonal test toughness microstructure
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Optimal combination of substrate supply amount coupled with nutrient solution management program for cucumber planting 认领 引用
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作者 Zhen Kang Zhaoxi Jiang +5 位作者 Zhaolong Liu Peng Wang Caihong Zhang Maozhou Yuan Mengqi Bai Xiaohui Hu 《Horticultural Plant Journal》 SCIE CAS CSCD 2026年第1期136-148,共13页
Substrate and nutrient supply are essential for vegetable cultivation in greenhouse.The strategies for plant nutrient supply vary depending on the cultivation methods or substrate dosages employed.With the development... Substrate and nutrient supply are essential for vegetable cultivation in greenhouse.The strategies for plant nutrient supply vary depending on the cultivation methods or substrate dosages employed.With the development of mechanization,wide-row spacing substrate cultivation became an optimize mode of the greenhouse cucumber cultivation,aligning with the trend of intelligent agriculture.To determine the optimal nutrient solution supply amount(NS)and supply frequency(SF)for promoting the integrated growth of cucumber under wide-row spacing substrate cultivation,we explored the effects of substrate supply amount(SS),NS,and SF on cucumber yield,quality,and element utilization efficiency.A five-level quadratic orthogonal rotation combination design with three experimental factors(NS,SF,and SS)was implemented for 23 coupling treatments over three growing seasons,including spring(2022S and 2023S)and autumn(2022A).The technique for order preference by similarity to ideal solution(TOPSIS)combining weights based on game theory was applied to construct cucumber comprehensive growth evaluation model.Single and two experimental factors analyses revealed significant effects of single factors and the coupling of NS-SS,NS-SF and SS-SF on the integrated growth of cucumber for all three growing seasons.For the NS-SF-SS combination,the optimal parameters for comprehensive cucumber growth were determined as follows:levels of-1.68 for NS,-0.7 for SF,and-1.682 for SS in 2022A;-0.43 for NS,-0.06 for SF,and 0.34 for SS in 2022S;0.3 for NS,-0.02 for SF,and 0.04 for SS in 2023S.Furthermore,for SS ranges of 2.00-3.01,3.01-4.50,4.50-5.99,5.99-7.00(L·plant-1),the corresponding NS and SF intervals maximizing cucumber integrated growth in spring were:0.28-0.30(L·plant-1)and 6(times·d-1),0.26-0.30(L·plant-1)and 6(times·d-1),0.25-0.30(L·plant-1)and 6(times·d-1),0.23-0.30(L·plant-1)and 6(times·d-1),respectively.With the same SS,the corresponding NS and SF intervals that maximized cucumber integrated growth in autumn were:0.10(L·plant-1)and 8(times·d-1),0.18(L·plant-1)and 7(times·d-1),0.30(L·plant-1)and 6(times·d-1),0.49(L·plant-1)and 5(times·d-1),respectively.The results provide a theoretical basis for solution management,and further in-depth research on cucumber cultivation. 展开更多
关键词 Cucumis sativus L. Comprehensive growth Irrigation frequency Nutrient solution Substrate supply amount Wide row spacing
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Analytical solution for longitudinal responses of tunnels under combined effects of seismic waves and strike-slip faulting 认领 引用
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作者 Jie Tang Manchao He +2 位作者 Yafei Qiao Hanbing Bian Chun Zhu 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2026年第2期1266-1289,共24页
Strong seismic excitation and fault dislocation are likely to occur simultaneously in high-intensity seismic zones,causing severe damage to tunnels crossing active fault zones.This paper aims to develop a novel analyt... Strong seismic excitation and fault dislocation are likely to occur simultaneously in high-intensity seismic zones,causing severe damage to tunnels crossing active fault zones.This paper aims to develop a novel analytical solution to determine the longitudinal mechanical responses of tunnels subjected to the combined effects of seismic waves and strike-slip faulting.Adopting the elastic springbeam model,the seismic waves are modelled as shear horizontal(SH)waves and the fault dislocation follows an S-shaped pattern;the superposition principle for free-fielddisplacements caused by both effects is assumed.In addition,the transmission and reflectionof seismic waves at the fault-rock geological interface and the tangential contact conditions at the tunnel-rock interface are considered.The analytical model is validated against numerical simulations,confirmingits accuracy in calculating tunnel responses.Moreover,a parametric study is conducted to evaluate the impact of key factors,including fault displacement,fault zone width,fault dip angle,earthquake frequency,rock conditions,tunnel lining stiffness,and tangential contact conditions,on tunnel responses.Compared with each effect alone,the combined effects of seismic waves and strike-slip faulting significantlychange the tunnel deformation and internal forces,leading to increased tunnel responses,especially within the fault zone and near the fault-rock interfaces.Depending on specificparameters,tunnel responses can be classifiedinto seismic-dominated,faulting-dominated,and seismic-faulting coupled responses on the basis of the relative contributions of each effect.The proposed analytical solution can be applied to quickly predict the longitudinal mechanical behaviour of tunnels under such combined effects in engineering applications. 展开更多
关键词 Strike-slip faulting Longitudinal tunnel response Analytical solution Seismic waves Wave transmissions and reflections
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Synthesis and Magnetic Properties of Mn/Fe/Co Binary Solid Solution in the A-site of V2SnC-MAX Phases 认领 引用
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作者 YAN Ming DENG Yuxiao +2 位作者 YAN Zhuanlong LI Hongyu CAO Mengyang 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS CSCD 2026年第2期353-363,共11页
This study reported the synthesis of magnetic solid solutions V2(AxBySn1-x-y)C(where A and B are Mn,Fe,or Co)MAX phases.These materials were prepared by incorporating magnetic elements into the V2SnC MAX p... This study reported the synthesis of magnetic solid solutions V2(AxBySn1-x-y)C(where A and B are Mn,Fe,or Co)MAX phases.These materials were prepared by incorporating magnetic elements into the V2SnC MAX phase via pressure-less sintering at 1000℃for 3 hours.XRD analysis reveals that the composition with x=y=0.2 exhibits a shift of diffraction peaks to higher angles,indicating lattice parameter changes,and achieves the highest phase purity with the maximum solid solution limit,further increases in the dopant content led to the formation of impurities.While the solid solution of magnetic elements preserves the characteristic layered structure of the MAX phase,it successfully induces magnetic properties.The magnetic transition temperatures for these solid solutions ranges from 61 to 200 K.Specifically,V2(MnxCoySn1-x-y)C demonstrated hard magnetic characteristics,with a high saturation magnetization(6.536 emu/g)and large remanence(4.236 emu/g).In contrast,V2(MnxFeySn1-x-y)C and V2(FexCoySn1-x-y)C exhibits soft magnetic behavior,evidenced by their narrow hysteresis loops and low coercivity.Their saturation magnetization values are 3.80 and 1.784 emu/g,respectively.The distinctly"S"-shaped hysteresis loop of V2(FexCoySn1-x-y)C further confirms its soft magnetic nature. 展开更多
关键词 V2SnC solid solution pressure less sintering magnetic MAX phase density functional theory
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Analytical solutions on dynamic response of a thin-walled curved beam subjected to two-axle moving load with variable speed 认领 引用
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作者 Xiaoyong Lv Liupeng Li +1 位作者 Zhiwu Yu Peng Liu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第2期237-251,共15页
This paper proposes the analytical solutions involving damping effects for the dynamic response of a simply supported thin-walled curved beam under uniformly variable two-axle moving loads in four directions:vertical,... This paper proposes the analytical solutions involving damping effects for the dynamic response of a simply supported thin-walled curved beam under uniformly variable two-axle moving loads in four directions:vertical,torsional,radial,and axial.The warping stiffness and damping of the thin-walled beam were comprehensively considered in the vibration control equations.Unlike traditional one-axle load cases,this study employs a more realistic two-axle vehicle load model.Based on the modal superposition method,the control vibration equations for thin-walled curved beams in-plane and out-ofplane under variable speed moving loads were solved using a combination of the Fourier sine transform method,the Galerkin method,and the Laplace transform method.Analytical solutions for the dynamic responses were derived in integral form,facilitating direct numerical computation.The proposed computational method’s effectiveness and accuracy were validated against published research.Subsequently,the dynamic responses of the thin-walled curved beam under one-axle and two-axle moving load models were compared,and the effects of initial load velocity,load acceleration,and center angle of the curved beam on the dynamic responses were investigated through extensive parameter research.The research results provide valuable insights into the structural behavior of thin-walled curved beams under the moving loading with variable speed. 展开更多
关键词 Thin-walled curved beam Dynamic response Variable speed Two-axle moving load Analytical solution
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Analytical solution for heat conduction in multi-layered geomaterials with thermal resistance:A case study of nuclear waste repository 认领 引用
15
作者 Xiangyun Zhou Xun Xu +2 位作者 De'an Sun You Gao Minjie Wen 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2026年第7期5711-5730,共20页
Heat conduction in multi-layered geomaterials was a pervasive phenomenon in various engineering applications,such as nuclear waste repositories,energy piles,and abandoned oil wells.The incomplete contact between adjac... Heat conduction in multi-layered geomaterials was a pervasive phenomenon in various engineering applications,such as nuclear waste repositories,energy piles,and abandoned oil wells.The incomplete contact between adjacent geomaterials will impede the heat transfer at interfaces,known as the interfacial thermal resistance effect.In this regard,a two-dimensional axisymmetric mathematical model for transient heat conduction in multi-layered geomaterials with interfacial thermal resistance was established.Employing Green's function formalism,the thermal transport system was mathematically resolved through a closed-form analytical solution that provides continuum-level characterization of thermal evolution across all spatial-temporal coordinates.A numerical model for threelayered geomaterials and a benchmark test for double-layered geomaterials were constructed to verify the analytical solution.Finally,the solution was applied to simulate the temperature evolutions in a nuclear waste repository with three-and four-layered barrier systems with interfacial thermal resistance.The results indicated that the existence of interfacial thermal resistance caused heat accumulation at interfaces,thereby resulting in an increase in overall temperature within the repository.Moreover,the temperature rises in the bentonite block layer and bentonite granule layer were obviously greater than that in the surrounding rock.Due to the interfacial thermal resistance effect,a notable temperature difference was observed at the interfaces.Specifically,for every increment of 0.03(K m2)/W in interfacial thermal resistance,the temperature difference increased by 1.5℃.A comparative analysis of temperature fieldsin repositories with three-and four-layered barrier systems revealed that the gap between the canister and bentonite block significantlyaffects the peak temperature in the buffer layer. 展开更多
关键词 Analytical solution Multi-layered geomaterial Heat conduction Interfacial thermal resistance Nuclear waste repository
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In-situ stress solution theory for borehole overcoring technique incorporating time-dependent effect of stress relief and its applications 认领 引用
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作者 Daohong Xia Shengjun Miao +5 位作者 Lianjun Chen Yuan Li Zejing Liu Rongmin Zhang Pengjin Yang Pengcheng Li 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2026年第1期187-203,共17页
In-situ stress is a key parameter for underground mine design and rock stability analysis.The borehole overcoring technique is widely used for in-situ stress measurement,but the rheological recovery deformation of roc... In-situ stress is a key parameter for underground mine design and rock stability analysis.The borehole overcoring technique is widely used for in-situ stress measurement,but the rheological recovery deformation of rocks after stress relief introduces errors.To improve accuracy,this study proposes an in-situ stress solution theory that incorporates time-dependent stress relief effects.Triaxial stepwise loadingunloading rheological tests on granite and siltstone established quantitative relationships between instantaneous elastic recovery and viscoelastic recovery under different stress levels,confirming their impact on measurement accuracy.By integrating a dual-class elastic deformation recovery model,an improved in-situ stress solution theory was derived.Additionally,accounting for the nonlinear characteristics of rock masses,a determination method for time-dependent nonlinear mechanical parameters was proposed.Based on the CSIRO hollow inclusion strain cell,time-dependent strain correction equations and long-term confining pressure calibration equations were formulated.Finally,the proposed theory was successfully applied at one iron mine(736 m depth)in Xinjiang,China,and one coal mine(510 m depth)in Ningxia,China.Compared to classical theory,the calculated mean stress values showed accuracy improvements of 6.0%and 9.4%,respectively,validating the applicability and reliability of the proposed theory. 展开更多
关键词 In-situ stress solution theory Borehole overcoring technique Time-dependent effect of stress relief Viscoelastic recovery strain of rock In-situ stress measurement
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Symplectic electrothermomechanical buckling solutions for two-dimensional decagonal piezoelectric quasicrystal cylindrical shells 认领 引用
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作者 Xin SU Yuhang LI +3 位作者 Jufang JIA Xinsheng XU Andi LAI Zhenhuan ZHOU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2026年第7期1549-1568,共20页
Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electr... Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electrothermomechanical buckling behavior remains a challenging analytical problem.This paper presents a symplectic electrothermomechanical buckling model for two-dimensional(2D)decagonal PQC cylindrical shells.By using the symplectic mathematics and Donnell's thin shell theory,the governing buckling equations for axially compressed PQC cylindrical shells are reformulated into a Hamiltonian system.Consequently,the original buckling problem is transformed into a symplectic eigenproblem that can be solved directly,obviating the necessity of trial functions.By use of the symplectic eigenfunction expansion,analytical symplectic buckling equations are obtained,allowing the critical buckling loads and buckling mode shapes to be solved simultaneously.The results indicate that,in addition to the geometry,voltage,and temperature,the phonon-phason-electric coupling inherent in PQC materials significantly influences the critical buckling loads.These analytical results provide a reliable reference for validating other computational approaches. 展开更多
关键词 piezoelectric quasicrystal(PQC)cylindrical shell buckling symplectic method analytical solution
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Hydromechanical modeling of CO2 injection into a saline aquifer:Analytical solution and fault-related seismicity assessment 认领 引用
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作者 Yan Zou Bing Bai +3 位作者 Hongwu Lei Mingyao Wei Haiqing Wu Derek Elsworth 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2026年第7期5125-5145,共21页
The injection of substantial quantities of carbon dioxide into subsurface reservoirs may alter the stress state of geological formations,potentially reactivating pre-existing faults and triggering induced seismicity.C... The injection of substantial quantities of carbon dioxide into subsurface reservoirs may alter the stress state of geological formations,potentially reactivating pre-existing faults and triggering induced seismicity.Comprehensive hydromechanical coupling analytical approaches for predicting CO2 injectioninduced earthquakes remain underdeveloped.This study proposed an analytical solution for fullycoupled hydromechanical modeling of a saline aquifer due to CO2 injection and applied it to the assessment of fault-related seismicity induced by CO2 geological storage.Firstly,we derived the analytical solutions for pore pressure buildup and stress change,considering not only pore pressure diffusion but also poroelastic stressing and caprock stiffness.Then,we quantifiedthe relative seismicity rates from Coulomb failure stress change using Dieterich's rate-and-state seismicity model.Subsequently,we investigated the occurrence rates and exceedance probabilities of CO2 injection-induced earthquakes with different magnitudes according to a hybrid physical-statistical approach.Finally,we conducted a series of parametric studies to reveal the influenceof several factors on induced seismicity.The results demonstrate several key findings.First,the proposed analytical solutions showed good agreement with multiphysics multiphase numerical simulation.Second,the traditional pure-hydraulic diffusion model overestimated the relative seismicity rate compared to the fully-coupled hydromechanical poroelastic model under a normal faulting stress regime.Third,the newly presented formula for the radius of the perturbed region was appropriate in reflectingthe spatial-temporal evolution of seismicity rate.Finally,among the factors,the CO2 injection rate had the largest impact on the occurrence rate and exceedance probability of induced earthquakes.In summary,this study established a comprehensive framework for evaluating CO2 injection-induced seismicity according to fully-coupled hydromechanical analytical solutions. 展开更多
关键词 Carbon dioxide(CO2)geological storage Injection-induced earthquake Poroelastic effect Analytical solution Probabilistic seismic risk assessment
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THE GLOBAL EXISTENCE OF A STRONG SOLUTION FOR THE COMPRESSIBLE NAVIER-STOKES/ALLEN-CAHN SYSTEM WITH A VAN DER WAALS EQUATION OF STATE 认领 引用
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作者 Yazhou CHEN Qiaolin HE +1 位作者 Yi PENG Xiaoding SHI 《Acta Mathematica Scientia》 SCIE CSCD 2026年第4期1733-1750,共18页
In this paper,we investigate the well-posedness of the Navier-Stokes/Allen-Cahn system for compressible van der Waals immiscible two-phase fluids.This kind of immiscible two-phase flow has the characteristic that the ... In this paper,we investigate the well-posedness of the Navier-Stokes/Allen-Cahn system for compressible van der Waals immiscible two-phase fluids.This kind of immiscible two-phase flow has the characteristic that the two phases remain independent and have a clear diffusion interface;the pressure is given by the famous van der Waals equation of state,which is nonmonotonic with respect to density.Both physical observation and numerical calculation show that the non-monotonicity of the pressure leads to the phase transition of the fluids.For the Cauchy problem of compressible Navier-Stokes/Allen-Cahn van der Waals fluids in one space dimension,we establish the global existence and uniqueness of the strong solution for initial density without vacuum states.These conclusions partially confirm the numerical results for the van der Waals fluid given by Hsieh-Wang[SIAM J.Appl.Math.(1997)].The proof is given by an elementary but technical L2energy method.It should be pointed out that the artificial viscous term about density introduced by Hsieh-Wang,which had to be added to control the short wave-length instability,is no longer needed in our conclusions. 展开更多
关键词 compressible Navier-Stokes equations Allen-Cahn equation strong solution van der Waals equation ofstate immiscible two-phase flow
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Break the fused ring:a novel MR-TADF skeleton for solution-processed pure-red OLEDs 认领 引用
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作者 Shen Xu Ye Tao Runfeng Chen 《Science China Materials》 SCIE EI CAS CSCD 2026年第7期4303-4304,共2页
Luminogens with high quantum efficiencies and color purity are pivotal for high-quality display with wide color gamut[1,2].After the breakthroughs of noble-metal-based organometallic phosphorescence[3,4]and traditiona... Luminogens with high quantum efficiencies and color purity are pivotal for high-quality display with wide color gamut[1,2].After the breakthroughs of noble-metal-based organometallic phosphorescence[3,4]and traditional donor-acceptor type thermally activated delayed fluorescence(TADF)[5,6]in achieving 100%internal quantum efficiencies(IQEs),multiresonance TADF(MR-TADF)is recognized as the next milestone in organic light-emitting diodes(OLEDs)since the pioneering work of Hatakeyama et al.[7]. 展开更多
关键词 pure red oleds skeleton noble metal based organometallic phosphorescence mr tadf color purity thermally activated delayed fluorescence tadf quantum efficiencies solution processed
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