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Prediction of Critical Conditions for Dynamic Recrystallization in 316LN Austenitic Steel 被引量:7
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作者 Xin-gang LIU Li-ge ZHANG +3 位作者 Rong-sheng QI Lei CHEN Miao JIN Bao-feng GUO 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2016年第3期238-243,共6页
Hot compression experiments conducted on a Gleeble-3500thermo-mechanical simulator and metallographic observation tests were employed to study the critical conditions of dynamic recrystallization(DRX)of 316 LN auste... Hot compression experiments conducted on a Gleeble-3500thermo-mechanical simulator and metallographic observation tests were employed to study the critical conditions of dynamic recrystallization(DRX)of 316 LN austenitic stainless steel.The true stress-true strain curves of 316 LN were obtained at deformation temperatures ranging from 900℃to 1 200℃and strain rates ranging from 0.001s-1 to 10s-1.Based on the above tests,the critical conditions of DRX were determined and compared with those obtained from work-hardening theory and the Cingara-McQueen flow stress model.Furthermore,the microstructure was observed to validate the calculated results.The ratio of critical strain to peak strain(εc/εp)for 316 LN was determined,and the quantitative relationship between the critical strain and the deformation parameters of 316 LN was elucidated.The results demonstrated that the onset of DRX corresponds to the constant normalized strain hardening rate(Γ),namely,the critical strain hardening rateΓcfor316LN is equal to 0.65. 展开更多
关键词 316LN austenitic stainless steel hot deformation dynamic recrystallization critical condition
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Mechanism analysis on pillar instability induced by micro-disturbance under critical condition 被引量:2
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作者 李江腾 曹平 《Journal of Central South University of Technology》 2005年第3期346-348,共3页
A simplified mechanical model of ultra-high pillar was established and its potential energy expression was derived under axial load on the basis of energy theory. Under critical conditions according to the nonlinear t... A simplified mechanical model of ultra-high pillar was established and its potential energy expression was derived under axial load on the basis of energy theory. Under critical conditions according to the nonlinear theory, the critical behaviors and the forming mechanism of pillar instability were discussed by external disturbance , such as stresses waves by blasting , axial force eccentricity ratherish and imperfections in pillar. The results show that the micro-disturbances attenuate with time and they are independence each other when pillar is in the stability state. Their effects on the stability of system are inessential. The correlation degree of disturbances increases sharply and various micro-disturbances are relative and nested reciprocally when the system is in critical state and they also cooperate with each other, which induces system to reach a new state. 展开更多
关键词 ultra-high pillar STABILITY potential energy critical condition micro-disturbance
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Critical condition study of borehole stability during air drilling 被引量:1
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作者 Deng Jingen Zou Linzhan +4 位作者 Tan Qiang Yan Wei Gao Deli Zhang Hanlin Yan Xiuliang 《Petroleum Science》 SCIE CAS CSCD 2009年第2期158-165,共8页
The purpose of this paper is to establish the existence of the critical condition of borehole stability during air drilling. Rock Failure Process Analysis Code 20 was used to set up a damage model of the borehole exca... The purpose of this paper is to establish the existence of the critical condition of borehole stability during air drilling. Rock Failure Process Analysis Code 20 was used to set up a damage model of the borehole excavated in strain-softening rock. Damage evolution around the borehole was studied by tracking acoustic emission. The study indicates that excavation damaged zone (EDZ) is formed around borehole because of stress concentration after the borehole is excavated. There is a critical condition for borehole stability; the borehole will collapse when the critical damage condition is reached. The critical condition of underground excavation exists not only in elastic and ideal plastic material but in strainsoftening material as well. The research is helpful to developing an evaluation method of borehole stability during air drilling. 展开更多
关键词 Borehole stability air drilling critical condition
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Study on critical conditions for rock failure by means of group renormalization
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作者 MENG Xiang-rui GAO Zhao-ning WANG Xiang-qian 《Journal of Coal Science & Engineering(China)》 2009年第1期50-54,共5页
A study of the characteristics of the accumulative rock failure and its evolution byapplication of the group renormalization method were presented. In addition, the interactionand long-range correlated effects between... A study of the characteristics of the accumulative rock failure and its evolution byapplication of the group renormalization method were presented. In addition, the interactionand long-range correlated effects between the immediate neighboring units was studied.The concept of mechanical transference for model OFC, employed in the study ofself-organized criticality, and the coefficient a were introduced into the calculation model forgroup renormalization. With the introduction, mechanisms for the drastic increase and decrease of failure intensity of rocks were investigated under similar macro-conditions. 展开更多
关键词 group renormalization rock failure critical condition
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Hot deformation characteristics of as-cast high-Cr ultra-super-critical rotor steel with columnar grains 被引量:4
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作者 Zong-ye Ding Qiao-dan Hu +1 位作者 Long Zeng Jian-guo Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2016年第11期1275-1285,共11页
Isothermal hot compression tests of as-cast high-Cr ultra-super-critical(USC) rotor steel with columnar grains perpendicular to the compression direction were carried out in the temperature range from 950 to 1250... Isothermal hot compression tests of as-cast high-Cr ultra-super-critical(USC) rotor steel with columnar grains perpendicular to the compression direction were carried out in the temperature range from 950 to 1250°C at strain rates ranging from 0.001 to 1 s^(-1). The softening mechanism was dynamic recovery(DRV) at 950°C and the strain rate of 1 s^(-1), whereas it was dynamic recrystallization(DRX) under the other conditions. A modified constitutive equation based on the Arrhenius model with strain compensation reasonably predicted the flow stress under various deformation conditions, and the activation energy was calculated to be 643.92 kJ ×mol^(-1). The critical stresses of dynamic recrystallization under different conditions were determined from the work-hardening rate(θ)–flow stress(σ) and-θ/σ–σ curves. The optimum processing parameters via analysis of the processing map and the softening mechanism were determined to be a deformation temperature range from 1100 to 1200°C and a strain-rate range from 0.001 to 0.08 s^(-1), with a power dissipation efficiency η greater than 31%. 展开更多
关键词 rotor steel columnar grains dynamic recrystallization constitutive models critical conditions processing maps
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Model of critical strain for dynamic recrystallization in 10%TiC/Cu-Al_2O_3 composite 被引量:4
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作者 杨志强 刘勇 +1 位作者 田保红 张毅 《Journal of Central South University》 SCIE EI CAS 2014年第11期4059-4065,共7页
Using the Gleeble-1500 D simulator, the hot deformation behavior and dynamic recrystallization critical conditions of the 10%Ti C/Cu-Al2O3(volume fraction) composite were investigated by compression tests at the tempe... Using the Gleeble-1500 D simulator, the hot deformation behavior and dynamic recrystallization critical conditions of the 10%Ti C/Cu-Al2O3(volume fraction) composite were investigated by compression tests at the temperatures from 450 °C to 850 °C with the strain rates from 0.001 s-1 to 1 s-1. The results show that the softening mechanism of the dynamic recrystallization is a feature of high-temperature flow true stress-strain curves of the composite, and the peak stress increases with the decreasing deformation temperature or the increasing strain rate. The thermal deformation activation energy was calculated as 170.732 k J/mol and the constitutive equation was established. The inflection point in the lnθ-ε curve appears and the minimum value of-(lnθ)/ε-ε curve is presented when the critical state is attained for this composite. The critical strain increases with the increasing strain rate or the decreasing deformation temperature. There is linear relationship between critical strain and peak strain, i.e., εc=0.572εp. The predicting model of critical strain is described by the function of εc=1.062×10-2Z0.0826. 展开更多
关键词 10%Ti C/Cu-Al2O3 composite hot deformation constitutive equation dynamic recrystallization critical condition
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Experimental study on how the settings of plasma affect its effectiveness of suppression of thermoacoustic oscillations in a Rijke tube
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作者 Jiangge DENG Ting LI Chicheng GAO 《Chinese Journal of Aeronautics》 2025年第6期304-317,共14页
Thermoacoustic instabilities,frequent in a wide range of combustors,arise from the intricate coupling between the flame's unsteady heat release and the combustor acoustic.The application of plasma,characterized by... Thermoacoustic instabilities,frequent in a wide range of combustors,arise from the intricate coupling between the flame's unsteady heat release and the combustor acoustic.The application of plasma,characterized by its substantial local energy addition and radical generation,has demonstrated potential in disrupting this coupling and thereby mitigating thermoacoustic oscillations.Notably,open-loop control using discharge plasma has been successfully implemented to suppress self-excited oscillations in a Rijke tube setup.Considering the broader context of a complex system that integrates both thermoacoustic systems and discharge plasma,experiments were done to see its performance in stability under different arrangement and discharge repetition rates of discharge plasma.These experimental investigations identified critical operating conditions essential for complete suppression:(A)the optimal location of discharge actuations,and(B)the minimum energy required for complete suppression.Moreover,the impact of discharge plasma,particularly when tuned to the eigenfrequencies of oscillations within the thermoacoustic system.was thoroughly examined.The insights gained from these successful suppression trials are instrumental in guiding the strategic design of both physical arrangement and electrical configurations for the control of combustion instabilities via discharge plasma.Furthermore,through the photographing of the swinging arcs and their thermal disturbances by high-speed camera and highspeed schlieren,the characteristics of arcs'thermal disturbances and the reasons affecting its suppression effectiveness were determined. 展开更多
关键词 Thermoacoustic instabilities Microsecond discharge plasma Open-loopactive control Thermal disturbance critical operation conditions
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Access to emergency medical services in Beijing:integrating web mapping application programming interfaces and empirical Bayesian Kriging interpolation analysis
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作者 Haolin Zhu Mo Xu +2 位作者 Luying Zhu Sijia Tian Jinjun Zhang 《World Journal of Emergency Medicine》 2025年第3期266-268,共3页
Emergency medical services (EMS) are a vital element of the public healthcare system in China,^([1])providing an opportunity to respond to critical medical conditions and save people’s lives.^([2])The accessibility o... Emergency medical services (EMS) are a vital element of the public healthcare system in China,^([1])providing an opportunity to respond to critical medical conditions and save people’s lives.^([2])The accessibility of EMS has received considerable attention in health and transport geography studies.^([3])One of the optimal gauges for evaluating the accessibility of EMS is the response time,which is defined as the time from receiving an emergency call to the arrival of an ambulance.^([4])Beijing has already reduced the response time to approximately12 min,and the next goal is to ensure that the response time across Beijing does not exceed 12 min (the information comes from the Beijing Emergency Medical Center). 展开更多
关键词 emergency medical services public healthcare system web mapping application programming interfaces empirical bayesian kriging interpolation analysis ACCESSIBILITY respond critical medical conditions response time
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Value of Optimization of Emergency Nursing Process in Improving Rescue Efficiency of Emergency Critically Ill Patients
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作者 HE Xiaojia LAN Jie MA Xiu 《外文科技期刊数据库(文摘版)医药卫生》 2021年第6期189-191,共5页
Objective: to explore the value of optimizing the emergency nursing process in improving the rescue efficiency of emergency critically ill patients. Methods: 100 emergency critically ill patients in our hospital from ... Objective: to explore the value of optimizing the emergency nursing process in improving the rescue efficiency of emergency critically ill patients. Methods: 100 emergency critically ill patients in our hospital from March 2020 to February 2021 were selected and randomly divided into groups. 50 cases in the conventional first aid group were given nursing routine, while 50 cases in the emergency care process group were given emergency care flow optimization. The satisfaction, rescue time and rescue success rate of the two groups were compared. Results: the satisfaction degree of the emergency nursing process group was higher than that of the conventional first aid group, the rescue time was shorter than that of the conventional first aid group, and the rescue success rate was higher than that of the conventional first aid group (P < 0.05). Conclusion: the optimization of emergency nursing process for emergency critically ill patients can achieve better results, and can improve the success rate of rescue and patient satisfaction. 展开更多
关键词 emergency nursing process optimization emergency patients in critical condition rescue efficiency
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A Review on Rill Erosion Process and Its Influencing Factors 被引量:13
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作者 SUN Liying FANG Haiyan +2 位作者 QI Deli LI Junlan CAI Qiangguo 《Chinese Geographical Science》 SCIE CSCD 2013年第4期389-402,共14页
Rills are frequently observed on slope farmlands and rill erosion significantly contributes to sediment yields. This paper focuses on reviewing the various factors affecting rill erosion processes and the threshold co... Rills are frequently observed on slope farmlands and rill erosion significantly contributes to sediment yields. This paper focuses on reviewing the various factors affecting rill erosion processes and the threshold conditions of rill initiation. Six factors, including rainfall, runoff, soil, topography, vegetation and tillage system, are discussed. Rill initiation and network are explored. Runoff erosivity and soil erodibility are recognized as two direct factors affecting rill erosion and other types of factors may have indirect influences on rill erosion through increasing or decreasing the effects of the direct factors. Certain conditions are necessary for rill initiation and the critical conditions are different with different factors. Future studies should be focused on 1) the dynamic changes of rill networks; 2) the combined effect of multiple factors; and 3) the relationships of threshold values with other related factors. 展开更多
关键词 rill initiation rill erosion rill network critical condition
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Mechanism of brittle-ductile transition of a glass-ceramic rigid substrate 被引量:10
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作者 Yu-li Sun Dun-wen Zuo Hong-yu Wang Yong-wei Zhu Jun Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2011年第2期229-233,共5页
The hardness, elastic modulus, and scratch resistance of a glass-ceramic rigid substrate were measured by nanoindentation and nanoscratch, and the fracture toughness was measured by indentation using a Vickers indente... The hardness, elastic modulus, and scratch resistance of a glass-ceramic rigid substrate were measured by nanoindentation and nanoscratch, and the fracture toughness was measured by indentation using a Vickers indenter. The results show that the hardness and elastic modulus at a peak indentation depth of 200 nm are 9.04 and 94.70 GPa, respectively. These values reflect the properties of the glass-ceramic rigid substrate. The fracture toughness value of the glass-ceramic rigid substrate is 2.63 MPa?m1/2. The material removal mechanisms are seen to be directly related to normal force on the tip. The critical load and scratch depth estimated from the scratch depth profile after scratching and the friction profile are 268.60 mN and 335.10 nm, respectively. If the load and scratch depth are under the critical values, the glass-ceramic rigid substrate will undergo plastic flow rather than fracture. The formula of critical depth of cut described by Bifnao et al. is modified based on the difference of critical scratch depth 展开更多
关键词 brittle-ductile transition critical conditions glass ceramics NANOINDENTATION NANOSCRATCH
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Sealing Performance and Optimization of a Subsea Pipeline Mechanical Connector 被引量:4
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作者 Li-Quan Wang Zong-Liang Wei +2 位作者 Shao-Ming Yao Yu Guan Shao-Kai Li 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2018年第1期142-155,共14页
Researchers seldom study the optimum design of a mechanical connector for subsea oil-gas pipeline based upon the sealing performance. An optimal design method of a novel subsea pipeline mechanical connector is present... Researchers seldom study the optimum design of a mechanical connector for subsea oil-gas pipeline based upon the sealing performance. An optimal design method of a novel subsea pipeline mechanical connector is presented. By analyzing the static metal sealing mechanism, the critical condition of the sealing performance is established for this connector and the formulation method of the contact pressure on the sealing surface is created. By the method the minimum mean contact pressure of the 8.625 inch connector is calculated as 361 MPa, which is the constraint condition in the optimum design of connector.The finite element model is created in ANSYS Parametric Design Language(APDL) and the structure is optimized by the zero-order method, with variance of contact pressure as the objective function, and mean contact pressures and plastic strains as constraint variables. The optimization shows that variances of contact pressure on two sealing surfaces decrease by 72.41% and 89.33%, respectively, and mean contact pressures increase by 31.18% and 52.84%, respectively. The comparison of the optimal connectors and non-optimal connectors in the water pressure experiments and bending experiments shows that the sealing ability of optimized connectors is much higher than the rated pressure of 4.5 MPa, and the optimal connectors don’t leak under the bending moment of 52.2 kN·m.This research provides the formulation to solve contact pressure on the sealing surface and a structure optimization method to design the connectors with various dimensions. 展开更多
关键词 Mechanical connector Sealing mechanism Sealing performance critical condition Minimum mean contact pressure Variance
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Mechanism of Downcutting Erosion of Debris Flow over a Movable Bed 被引量:3
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作者 Pan Hua-li Huang Jiang-cheng Ou Guo-qiang 《Journal of Mountain Science》 SCIE CSCD 2015年第1期243-250,共8页
The phenomenon of debris flow is intermediate between mass movement and solid transport. Flows can be sudden, severe and destructive. Understanding debris flow erosion processes is the key to providing geomorphic expl... The phenomenon of debris flow is intermediate between mass movement and solid transport. Flows can be sudden, severe and destructive. Understanding debris flow erosion processes is the key to providing geomorphic explanations, but progress has been limited because the physical-mechanical properties, movement laws and erosion characteristics are different from those of sediment-laden flow. Using infinite slope theory, this research examines the process and mechanism of downcutting erosion over a moveable bed in a viscous debris flow gully. It focuses specifically on the scour depth and the critical slope for viscous debris flow,and formulas for both calculations are presented.Both scour depth and the critical conditions of downcutting erosion are related to debris flow properties(sand volume concentration and flow depth) and gully properties(longitudinal slope,viscous and internal friction angle of gully materials,and coefficient of kinetic friction). In addition, a series of flume experiments was carried out to characterize the scouring process of debris flows with different properties. The calculated values agreed well with the experimental data. These theoretical formulas are reasonable, and using infinite slope theory to analyze down cutting erosion from viscous debris flow is feasible. 展开更多
关键词 Debris flow Down cutting erosion Infinite slope theory critical conditions Flumeexperiments
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Factors driving riverbed scouring and sedimentation in the Bayangaole to Toudaoguai reaches of the Upper Yellow River 被引量:2
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作者 HOU Suzhen WANG Ping +1 位作者 GUO Yan HU Tian 《Journal of Geographical Sciences》 SCIE CSCD 2016年第9期1305-1320,共16页
The Inner Mongolia reaches of the Yellow River face problems of severe sedimen-tation caused by a variety of complex factors.The sedimentation process in those reaches has been characterized using the sediment balance... The Inner Mongolia reaches of the Yellow River face problems of severe sedimen-tation caused by a variety of complex factors.The sedimentation process in those reaches has been characterized using the sediment balance method,and the key factors affecting the process have been analyzed using the correlation analysis method.The results show that during the period 1952-2012 the Bayangaole(Bayan Gol)to Toudaoguai reaches in Inner Mongolia have undergone successive processes of accumulative sedimentation,then relative balance,and then accumulative sedimentation once again.The total annual sedimentation is 12.0341×10^(8)m^(3),of which accumulations from July to October account for 95.1%and the reaches from Sanhuhekou to Toudaoguai account for 98.5%.The main factor affecting scouring and sedimentation of the Bayangaole to Sanhuhekou reaches is the combined water and sediment condition.The critical conditions for equilibrium are an incoming sediment co-efficient〈0.007 kg·s·m^-6 and a flow discharge〉700 m^(3)·s^(-1).The main factor affecting scouring and sedimentation of the Sanhuhekou to Toudaoguai reaches is the incoming sediment from the tributaries on the south bank and the combined water and sediment condition of the main stream.The critical conditions of the main stream for maintaining equilibrium status are a flow discharge of the main stream exceeding 800 m^(3)·s^(-1)and a comprehensive incoming sediment coefficient〈0.005 kg^(-3)·m^(-6).The incoming sediment from the tributaries has little impact on the main stream when the annual sediment load is less than 0.1×10^(8)t.The incoming sediment coefficient of the main stream and the incoming sediment from the tributaries both play vital roles in the riverbed evolution of the Inner Mongolia reaches,but the latter contributes the most. 展开更多
关键词 Inner Mongolia Yellow River riverbed evolution sedimentation quantity incoming sediment coefficient critical conditions
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Critical firing conditions for titanium alloys by molten droplet ignition 被引量:1
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作者 Lin Chen Yu Dong +2 位作者 Yun-Qi Tong Mei-Jun Liu Guan-Jun Yang 《Corrosion Communications》 2023年第3期33-43,共11页
Reliable service of indispensable titanium alloys in aeroengines is limited by titanium fire with unclear critical conditions.In this study,critical conditions in the form of parameter phase diagrams for secondary bur... Reliable service of indispensable titanium alloys in aeroengines is limited by titanium fire with unclear critical conditions.In this study,critical conditions in the form of parameter phase diagrams for secondary burning were determined by molten droplet ignition.Finite element analysis(FEA)reveals that the molten droplet size(R_(0)),relative oxygen content(P_(r)),and initial temperature(T_(0))significantly affect titanium fire following power exponential laws.In addition,P_(r) and T_(0)affect ablation synergically,and a unified empirical relationship for critical ablation of titanium alloy is established.Furthermore,the critical T_(0)of a typical TC4 alloy under 20% P_(r) is higher than 973 K,which explains the reliable service performance of TC4 alloy at≤873 K in compressors in commerical air engines.In addition,the critical empirical conditions are consistent with the FEA results,and the deviation occurs due to oxidation at T_(0)≥673 K.Moreover,the ablated TC4 alloy can be divided into five characteristic zones,and loose and porous oxide scales are formed at the front of the titanium fire.The present study points the way towards long-lifetime services of TC4 alloys through sound titanium fire protection strategies. 展开更多
关键词 Titanium fire Ablation Molten droplet ignition critical conditions Scaling law
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Flume Experiment on Stream Blockage by the Debris Flow From Tributary
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作者 He, Yiping Guo, Zhixue +2 位作者 Li, Yong Cui, Peng Wang, Zhaoyin 《四川大学学报(工程科学版)》 EI CAS CSCD 北大核心 2005年第S1期64-70,共7页
Stream blockage by the debris flow from tributary valleys is a common phenomenon in mountainous area,which takes place when large quantities of sediment transported by debris flow reaches a river channel causing its c... Stream blockage by the debris flow from tributary valleys is a common phenomenon in mountainous area,which takes place when large quantities of sediment transported by debris flow reaches a river channel causing its complete or partial blockage.The dam formed by debris flow may causes upstream and downstream flooding,and presents great threat to people and property.Because of the catastrophic influence on people and property,debris-flow dam has attracted many attentions from the researchers and local adm... 展开更多
关键词 Debris flow BLOCKAGE critical condition flume experiment
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Nonlinear dynamical behavior of shallow cylindrical reticulated shells
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作者 王新志 梁从兴 +2 位作者 韩明君 叶开沅 王钢 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第2期151-156,共6页
By using the method of quasi-shells , the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell are founded. By using the method of the sep... By using the method of quasi-shells , the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell are founded. By using the method of the separating variable function, the transverse displacement of the shallow cylindrical reticulated shells is given under the conditions of two edges simple support. The tensile force is solved out from the compatible equations, a nonlinear dynamic differential equation containing second and third order is derived by using the method of Galerkin. The stability near the equilibrium point is discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function. The existence of the chaotic motion of the single-layer shallow cylindrical reticulated shell is approved by using the digital simulation method and Poincare mapping. 展开更多
关键词 reticulated shells method of quasi-shells chaotic motion critical condition
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Thermal explosion of a reactive gas mixture at constant pressure for non-uniform and uniform temperature systems
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作者 Saad A.El-Sayed 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2022年第10期1842-1851,共10页
In this study,the approximate and exact solutions for the stationary-state of the solids model with neglecting reactant consumption for both non-uniform and uniform temperature systems were applied on gas ignition und... In this study,the approximate and exact solutions for the stationary-state of the solids model with neglecting reactant consumption for both non-uniform and uniform temperature systems were applied on gas ignition under a constant pressure condition.The criticality conditions for a slab,an infinite cylinder,and a sphere are determined and discussed using dimensionless temperatures under constant ambient and surface temperatures for a non-uniform temperature system.Exact solution for a Semenov model with convection heat loss was also presented.The solution of the Semenov problem for constant volume or density as a solid and constant pressure were compared.The critical parameterδis calculated and compared with those of Frank-Kamenetskii solution values.The validation of the calculated ignition temperatures with other exact solution and experimental results were offered.The relation between critical parameters form Semenov and F.K.models solution was introduced. 展开更多
关键词 Thermal explosion Approximate solution critical conditions Distributed and uniform temperature systems
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The Existence of a Weak Solution of Inhomogeneous Quasilinear Elliptic Equation with Critical Growth Conditions 被引量:4
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作者 Li Gongbao Zhou Huansong Wuhan Institute of Mathematical Sciences Academia Sinica P. O. Box 71007 Wuhan, 430071 China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1995年第2期146-155,共10页
In this paper, we get the existence of a weak solution of the following inhomogeneous quasilinear elliptic equation with critical growth conditions: where N≥2, f(x,u)~|u|<sup>m-1</sup>e<sup>b|u|&... In this paper, we get the existence of a weak solution of the following inhomogeneous quasilinear elliptic equation with critical growth conditions: where N≥2, f(x,u)~|u|<sup>m-1</sup>e<sup>b|u|<sup>γ</sup></sup>at +∞, with γ=N/N-1, m≥1, b】0. 展开更多
关键词 LIM The Existence of a Weak Solution of Inhomogeneous Quasilinear Elliptic Equation with critical Growth conditions MATH
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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS 被引量:5
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作者 李麟 唐春雷 《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期155-170,共16页
In this paper, we study a class of p(x)-biharmonic equations with Navier boundary condition. Using the mountain pass theorem, fountain theorem, local linking theorem and symmetric mountain pass theorem, we establish... In this paper, we study a class of p(x)-biharmonic equations with Navier boundary condition. Using the mountain pass theorem, fountain theorem, local linking theorem and symmetric mountain pass theorem, we establish the existence of at least one solution and infinitely many solutions of this problem, respectively. 展开更多
关键词 p(x)-biharmonic variable exponent Cerami condition critical points variational method
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