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Lattice activation for air deposition of micrometer-grain Pb-Sn perovskite film realizing efficient and stable ideal-bandgap solar cells
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作者 Xiaojia Zhao Weiyin Gao +7 位作者 Jianxiong Yang Zelin Wang Zhenhuang Su Lingfeng Chao He Dong Xingyu Gao Yonghua Chen Chenxin Ran 《Journal of Energy Chemistry》 2025年第9期808-818,I0021,共12页
Lead-tin(Pb-Sn)perovskites with an ideal bandgap of 1.34-1.40 eV show great promise in perovskite solar cells(PSCs).Recently,to address the environmental pollution and Sn^(2+)oxidation problems of dimethyl sulfoxide,m... Lead-tin(Pb-Sn)perovskites with an ideal bandgap of 1.34-1.40 eV show great promise in perovskite solar cells(PSCs).Recently,to address the environmental pollution and Sn^(2+)oxidation problems of dimethyl sulfoxide,methylammonium acetate(MAAc)ionic liquid has been developed as an alternative to fabricate ideal bandgap MAPb_(0.7)Sn_(0.3)I_(3)(1.36 eV)film via hot-casting in air.However,the spontaneous crystallization of Pb-Sn perovskite initiated by heat-induced supersaturation is fast and random,setting critical challenges in regulating crystal growth during the film-forming process.Herein,a lattice activation strategy is developed to control the crystallization dynamics of MAPb_(0.7)Sn_(0.3)I_(3)in MAAc to produce films with micrometer-sized grains in air.FA is shown to activate the crystal lattice that facilitates the formation of intermediates and balances the crystal growth of MAPb_(0.7)Sn_(0.3)I_(3),producing films with a grain size of 2.78±0.17μm.Furthermore,4-fluoro-phenethylammonium and phenethylammonium are adopted to passivate the defects in the film and promote the energy level alignment at the top interface,respectively.The optimized PSC device achieved an efficiency of 18.24%with a short-circuit current of 29.84 mA/cm^(2),which are both the highest values in 1.36 eV Pb-Sn PSCs to date.Notably,the unencapsulated devices show excellent storage and air stability under various conditions. 展开更多
关键词 Pb-Sn perovskite Ideal bandgap Lattice activation Air deposition micrometer grains Stability
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Experimental Study on Electrical Breakdown for Devices with Micrometer Gaps 被引量:2
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作者 孟国栋 成永红 +1 位作者 董承业 吴锴 《Plasma Science and Technology》 SCIE EI CAS CSCD 2014年第12期1083-1089,共7页
The understanding of electrical breakdown in atmospheric air across micrometer gaps is critically important for the insulation design of micro & nano electronic devices. In this paper, planar aluminum electrodes with... The understanding of electrical breakdown in atmospheric air across micrometer gaps is critically important for the insulation design of micro & nano electronic devices. In this paper, planar aluminum electrodes with gaps ranging from 2μm to 40 #m were fabricated by microelectromechanical system technology. The influence factors including gap width and surface dielectric states were experimentally investigated using the home-built test and measurement system. Results showed that for SiO2 layers the current sustained at 2-3 nA during most of the pre-breakdown period, and then rose rapidly to 10-30 nA just before breakdown due to field electron emission, followed by the breakdown. The breakdown voltage curves demonstrated three stages: (1) a constantly decreasing region (the gap width d 〈5 μm), where the field emission effect played an important role just near breakdown, supplying enough initial electrons for the breakdown process; (2) a plateau region with a near constant breakdown potential (5 μm〈 d 〈10 μm); (3) a region for large gaps that adhered to Paschen's curve (d 〉10μm). And the surface dielectric states including the surface resistivity and secondary electron yield were verified to be related to the propagation of discharge due to the interaction between initial electrons and dielectrics. 展开更多
关键词 electrical breakdown micrometer gaps field emission surface dielectric states surface resistivity secondary electron yield
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Synthesis of Sub-micrometer Lithium Iron Phosphate Particles Using Supercritical Hydrothermal Method for Lithium Ion Batteries 被引量:5
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作者 刘学武 魏浩 +3 位作者 邓远富 汤洁 施志聪 陈国华 《Journal of Shanghai Jiaotong university(Science)》 EI 2012年第5期517-522,共6页
In this study,sub-micrometer LiFePO_4 particles with high purity and crystallinity were synthesized using supercritical hydrothermal method as the cathode material for lithium ion batteries.Experimental results show t... In this study,sub-micrometer LiFePO_4 particles with high purity and crystallinity were synthesized using supercritical hydrothermal method as the cathode material for lithium ion batteries.Experimental results show that templates and calcination time have significant impacts on the purity,particle size and morphology of LiFePO_4 particles.The as-prepared LiFePO_4 particles using polyvinyl pyrrolidone(PVP) template with additional one hour calcination at 700℃exhibit characteristics of good crystallinity,uniform size distribution,high capacity and cycling performance.The specific discharge capacities of 141.2 and 114.0mA·h/g were obtained at the charge/discharge rates of 0.1 and 1.0 C,respectively.It retained 96.0%of an initial capacity after 100 cycles at 1.0 C rate.The good electrochemical performance of the as-synthesized material is attributed to the synergistic factors of its reasonable particle size and surface areas and high crystallinity. 展开更多
关键词 LIFEPO4 sub-micrometer supercritical hydrothermal synthesis template
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Direct decarbonation of micrometer-scale layered double hydroxides without morphology damage 被引量:1
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作者 Kong Li Xu Guang Ming Chen Jian Quan Shen 《Chinese Chemical Letters》 SCIE CAS CSCD 2012年第7期805-808,共4页
A direct decarbonation route without obvious morphology damage was developed for large micrometer-scale layered double hydroxides(LDHs).First,we synthesized pure,hexagonal-shaped LDHs with lateral dimension of micro... A direct decarbonation route without obvious morphology damage was developed for large micrometer-scale layered double hydroxides(LDHs).First,we synthesized pure,hexagonal-shaped LDHs with lateral dimension of micrometer-size by the recently reported urea hydrolysis method.Then,using HNO_3-NaNO_3 mixed solution,the obtained LDH with carbonate anions in the interlayer(LDH_CO_3) was directly decarbonated to its nitrate form,LDH_NO_3,its morphology and particle size were still unchanged.Compared with the recently published two-step decarbonation method,the direct decarbonation reported herein is very convenient. 展开更多
关键词 Direct decarbonation Layered double hydroxides micrometer-scale
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Ultra-small microring resonator based on sub-micrometer fiber
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作者 董小伟 刘文楷 《Optoelectronics Letters》 EI 2012年第4期253-255,共3页
The transfer function of the microring resonator is deduced, and the effects of the normalized loss, coupling coefficient and surrounding media on the resonance performance are investigated thoroughly. Utilizing the i... The transfer function of the microring resonator is deduced, and the effects of the normalized loss, coupling coefficient and surrounding media on the resonance performance are investigated thoroughly. Utilizing the improved fused tapering tech- nique and ingenious self-coiling coupling method, a high-quality microring resonator (radius of about 500 I.tm) with larger extinction ratio (〉10 dB) and sharper resonance is designed and fabricated by a segment of continuous sub-micrometer fiber. The microring resonator constructed in this way demonstrates extremely small connection loss with communication fiber in contrast to the planar waveguide technology. 展开更多
关键词 micrometers
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Influences of sub-micrometer Ta and Co dopants on microstructure and properties of tungsten heavy alloys
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作者 谭兴龙 冷邦义 +4 位作者 邱绍宇 李强 何文艳 王传海 雷代富 《中国有色金属学会会刊:英文版》 CSCD 2004年第4期747-750,共4页
Tungsten heavy alloys are aggregates of particles of tungsten bonded with Ni/Fe or Ni/Cu via liquid-phase sintering. The sub-micrometer Ta Co powder was added to this aggregate to strengthen the bonding phase. It is f... Tungsten heavy alloys are aggregates of particles of tungsten bonded with Ni/Fe or Ni/Cu via liquid-phase sintering. The sub-micrometer Ta Co powder was added to this aggregate to strengthen the bonding phase. It is found that the main fr acture pattern of the alloys is cleavage of tungsten grains and ductile rupture of bond phase,leading to improved tensile strength and elongation. Dopant Ta ca n act as grain size inhibitor in tungsten heavy alloys. 展开更多
关键词 钨合金 高比重合金 合金化 显微结构 性能 粉末冶金
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Fracture behavior of sandstone with partial filling flaw under mixed-mode loading: Three-point bending tests and discrete element method
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作者 Dongdong Ma Yu Wu +4 位作者 Xiao Ma Xunjian Hu Wenbao Dong Decheng Li Lingyu Li 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第1期291-308,共18页
The fracture behavior of natural fracture in the geological reservoir subjected to filling property,affects the crack initiation and propagation under stress perturbation.Partial filling flaws were intermediate betwee... The fracture behavior of natural fracture in the geological reservoir subjected to filling property,affects the crack initiation and propagation under stress perturbation.Partial filling flaws were intermediate between open fractures and filled fractures,the fracture response may be worth exploring.In this work,the effect of the filling property of sandstone with partial filling flaws on the fracture behavior was systematically investigated based on three-point bending tests and the numerical approach of discrete element method(DEM).In the laboratory,semi-circular three-point bending tests were carried out with partial filling flaws of various filling strengths.Based on this,numerical simulations were used to further investigate the effect of the filling ratio and the inclination of the partial filling flaw on the mechanical and fracture responses,and the effect of the partial filling flaw under mixed-mode loading on the fracture mechanism was elucidated coupled with acoustic emission(AE)characteristics.The obtained results showed that the increase in filling strength and filling ratio of partial filling flaw led to an increase in peak strength,with a decreasing trend in peak strength with the inclination of partial filling flaw.In terms of crack propagation pattern,the increasing filling strength of the partial filling flaw induced the transformation of the fracture mechanism toward deflection,with a tortuosity path,while the filling ratio and inclination of partial filling flaw led to fracture mechanism change from deflection to penetration and attraction,accompanied with a larger AE event source in filler.Accordingly,the b-value based on the Gutenberg-Richter equation fluctuated between 5 and 4 at low filling ratio and inclination and remained around 5 at high filling ratio and inclination of partial filling flaw.Related results may provide an application prospective for reservoir stimulation using the natural fracture system. 展开更多
关键词 Partial filling flaw Mixed-mode loading Semi-circular three-point bending Acoustic emission(AE) B-VALUE
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Three-Point Bending Deformation Behavior of a High Plasticity Mg–2.6Er–0.6Zr Alloy Sheet
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作者 Yuanxiao Dai Yue Zhang +3 位作者 Mei Wang Jie Liu Yaobo Hu Bin Jiang 《Acta Metallurgica Sinica(English Letters)》 2025年第7期1109-1126,共18页
Bending is a crucial deformation process in metal sheet forming.In this study,the microstructural evolution of a highly ductile Mg–Er–Zr alloy sheet was examined in various bending regions under different bending st... Bending is a crucial deformation process in metal sheet forming.In this study,the microstructural evolution of a highly ductile Mg–Er–Zr alloy sheet was examined in various bending regions under different bending strains using electron backscatter diffraction and optical microscopy.The results show that the Mg–Er–Zr extruded sheet has excellent bending properties,with a failure bending strain of 39.3%,bending yield strength,and ultimate bending strength of 75.1 MPa and 250.5 MPa,respectively.The exceptional bending properties of the Mg–Er–Zr extruded sheets are primarily due to their fine grain size and the formation of rare-earth(RE)textures resulting from Er addition.Specifically,the in-grain misorientation axes(IGMA)and the twinning behaviors in various regions of the specimen during bending were thoroughly analyzed.Due to the polarity of the tensile twins and their low activation stress,a significant number of tensile twins are activated in the compression zone to regulate plastic deformation.The addition of Er weakens the basal texture of the sheet and reduces the critical resolved shear stress difference between non-basal slip and basal slip.Consequently,in the tensile zone,the basal and non-basal slips co-operate to coordinate the plastic deformation,effectively impeding crack initiation and propagation,and thereby enhancing the bending toughness of the Mg–Er–Zr sheet. 展开更多
关键词 Mg alloy sheet three-point bending Deformation mechanism In-grain misorientation axis(IGMA)
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Three-point bending behavior of aluminum foam sandwich with steel panel 被引量:8
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作者 祖国胤 卢日环 +4 位作者 李小兵 仲照阳 马幸江 韩明博 姚广春 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第9期2491-2495,共5页
Static three-point bending tests of aluminum foam sandwiches with glued steel panel were performed. The deformation and failure of sandwich structure with different thicknesses of panel and foam core were investigated... Static three-point bending tests of aluminum foam sandwiches with glued steel panel were performed. The deformation and failure of sandwich structure with different thicknesses of panel and foam core were investigated. The results indicate that the maximum bending load increases with the thickness of both steel panel and foam core. The failure of sandwich can be ascribed to the crush and shear damage of foam core and the delamination of glued interface at a large bending load, The crack on the foam wall developed in the melting foam procedure is the major factor for the failure of foam core. The sandwich structure with thick foam core and thin steel panel has the optimal specific bending strength. The maximum bending load of that with 8 mm panel and 50 mm foam core is 66.06 kN. 展开更多
关键词 aluminum foam sandwich three-point bending failure mode panel thickness
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双定子微米级气隙电机铁芯级进模的研制
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作者 汪一鸥 陈叶娣 黄敏高 《模具制造》 2026年第1期15-17,共3页
针对电机铁芯内外定子拼合间隙小,其级进模存在内定子易变形、铁芯易拉毛及叠铆顶杆加工易断裂等问题,通过采用10工步套冲内外定子优化排样图设计,运用收紧条保证内定子极高度一致,旋转内定子避免拼合处破孔,调整筋宽减少变形,制造工装... 针对电机铁芯内外定子拼合间隙小,其级进模存在内定子易变形、铁芯易拉毛及叠铆顶杆加工易断裂等问题,通过采用10工步套冲内外定子优化排样图设计,运用收紧条保证内定子极高度一致,旋转内定子避免拼合处破孔,调整筋宽减少变形,制造工装夹具防止顶杆断裂等方法,解决了上述问题。 展开更多
关键词 双定子 微米级 电机铁芯 级进模
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Breeding of Mycoplasmal pneumonia-negative Swine Population Using Combination Therapy,Segregated Early Weaning(SEW) and Three-point Production System
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作者 甘源 华利忠 +8 位作者 冯志新 熊祺琰 刘茂军 杜改梅 马庆红 王爱全 韦艳娜 姜平 邵国青 《Agricultural Science & Technology》 CAS 2015年第5期991-996,共6页
In order to explore a breeding method for mycoplasmal pneumonia-negative swine population, the purifying effects of combination therapy, SEW and three-point breeding and management system on Mycoplasma hyopneumoniae w... In order to explore a breeding method for mycoplasmal pneumonia-negative swine population, the purifying effects of combination therapy, SEW and three-point breeding and management system on Mycoplasma hyopneumoniae were investigated in this study. After the processes of screening pregnant sows, programmed therapy for sows, SEW, three-point breeding and management in the barrier isolation system and programmed therapy for piglets, the newly-bred piglets were monitored as long as four months by serum antibody detection of Mycoplasma hyopneumoniae and fluorescent quantitative PCR of nose swabs. The results showed that when the newlybred five batches of piglets were older than 35 d, they were all negative by serum antibody detection and nose swab antigen detection. Therefore, the combination therapy, SEW and three-point production and management system can effectively purify Mycoplasma hyopneumoniae, providing theoretical basis and clinical experience for the control and purification of domestic mycoplasmal pneumonia. 展开更多
关键词 SEW Early weaning Barrier system three-point breeding and management system Drug purification BIOSAFETY
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Three-point bending performance of a new aluminum foam composite structure 被引量:7
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作者 王宁珍 陈祥 +3 位作者 李奡 李言祥 张华伟 刘源 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第2期359-368,共10页
A new composite structure based on aluminum foam sandwich and fiber metal laminate was proposed. A layer of glass fiber was provided at the interface between the metal panel and the aluminum foam core in this composit... A new composite structure based on aluminum foam sandwich and fiber metal laminate was proposed. A layer of glass fiber was provided at the interface between the metal panel and the aluminum foam core in this composite structure, using adhesive technology to bond the materials together by organic glue in the sequence of metal panel, glass fiber, aluminum foam core, glass fiber and metal panel. The experimental results show that the new composite structure has an improved comprehensive performance compared with the traditional aluminum foam sandwiches. The optimized parameters for the fabrication of the new aluminum foam composite structure with best bending strength were obtained. The epoxy resin and low porosity aluminum foams are preferred, the thickness of aluminum sheets should be at least 1.5 mm, and the type of glass fiber has little effect on the bending strength. The main failure modes of the new composite structures with two types of glues were discussed. 展开更多
关键词 composite structure three-point bending strength aluminum foam sandwich glass fiber
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基于三针直径测量的分析与应用
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作者 李华 蔡忠发 +3 位作者 任卉 付天坤 徐德宇 赵云 《计量与测试技术》 2026年第2期159-163,共5页
本文针对三针直径测量的影响量,使用激光测径仪和数码光学计进行分析与试验验证。结果表明,采用激光测径仪,应将相同规格的三针作为标准,以减小激光扫描的中心位置发生变化而导致的加大激光扫描范围所产生的误差;采用数码光学计时,应控... 本文针对三针直径测量的影响量,使用激光测径仪和数码光学计进行分析与试验验证。结果表明,采用激光测径仪,应将相同规格的三针作为标准,以减小激光扫描的中心位置发生变化而导致的加大激光扫描范围所产生的误差;采用数码光学计时,应控制设备自身的最大允许误差、测量力的大小引起的变形量及标准器的不确定度,以满足相应规格的0级三针直径测量。 展开更多
关键词 三针直径测量 激光测径仪 光学计 扫描范围 变形量
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Heterogeneous Fracture Simulation of Three-point Bending Plain-concrete Beam with Double Notches 被引量:7
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作者 Chuanchuan Zhang Xinhua Yang +1 位作者 Hu Gao Hongping Zhu 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2016年第3期232-244,共13页
Plain concrete is regarded as a two-phase material comprising randomly distributed aggregates and mortar matrix. A series of three-point bending concrete beams with symmetric or asymmetric double notches are modeled u... Plain concrete is regarded as a two-phase material comprising randomly distributed aggregates and mortar matrix. A series of three-point bending concrete beams with symmetric or asymmetric double notches are modeled using the modified random aggregate generation and packing algorithm. The cohesive zone model is used as the fracture criterion and the cohesive el- ements are inserted into both the mortar matrix and the aggregate-mortar interfaces as potential micro-cracking zones. The dead and alive crack phenomena are studied experimentally and nu- merically; and the influences of notch location, aggregate distribution and gradation on fracture are numerically evaluated. Some important conclusions are given. 展开更多
关键词 concrete beam double notches three-point bending fracture cohesive zone model
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Three-point bending of honeycomb sandwich beams with facesheet perforations 被引量:3
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作者 Pengbo Su Bin Han +2 位作者 Zhongnan Zhao Qiancheng Zhang Tian Jian Lu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2018年第4期667-675,共9页
A novel square honeycomb-cored sandwich beam with perforated bottom facesheet is investigated under threepoint bending,both analytically and numerically.Perforated square holes in the bottom facesheet are characterize... A novel square honeycomb-cored sandwich beam with perforated bottom facesheet is investigated under threepoint bending,both analytically and numerically.Perforated square holes in the bottom facesheet are characterized by the area ratio of the hole to intact facesheet(perforation ratio).While for large-scale engineering applications like the decks of cargo vehicles and transportation ships,the perforations are needed to facilitate the fabrication process(e.g.,laser welding)as well as service maintenance,it is demonstrated that these perforations,when properly designed,can also enhance the resistance of the sandwich to bending.For illustration,fair comparisons among competing sandwich designs having different perforation ratios but equal mass is achieved by systematically thickening the core webs.Further,the perforated sandwich beam is designed with a relatively thick facesheet to avoid local indention failure so that it mainly fails in two competing modes:(1)bending failure,i.e.,yielding of beam cross-section and buckling of top facesheet caused by bending moment;(2)shear failure,i.e.,yielding and buckling of core webs due to shear forcing.The sensitivity of the failure loads to the ratio of core height to beam span is also discussed for varying perforation ratios.As the perfo-ration ratio is increased,the load of shear failure increases due to thickening core webs,while that of bending failure decreases due to the weakening bottom facesheet.Design of a sandwich beam with optimal perforation ratio is realized when the two failure loads are equal,leading to significantly enhanced failure load(up to 60%increase)relative to that of a non-perforated sandwich beam with equal mass. 展开更多
关键词 Honeycomb sandwich Facesheet perforation three-point bending Analytical model
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Modified laparoscopic Sugarbaker repair of parastomal hernia with a three-point anchoring technique 被引量:3
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作者 Di-Yu Huang Long Pan +2 位作者 Qi-Long Chen Xiao-Yan Cai Jie Fang 《World Journal of Clinical Cases》 SCIE 2018年第14期759-766,共8页
AIMTo retrospectively evaluate the safety and feasibility of a new modified laparoscopic Sugarbaker repair in patients with parastomal hernias.METHODSA retrospective study was performed to analyze eight patients who u... AIMTo retrospectively evaluate the safety and feasibility of a new modified laparoscopic Sugarbaker repair in patients with parastomal hernias.METHODSA retrospective study was performed to analyze eight patients who underwent parastomal hernia repair between June 2016 and January 2018. All of these patients received modified laparoscopic Sugarbakerhernia repair treatment. This modifed technique included an innovative three-point anchoring and complete su-turing technique to fix the mesh. All procedures were performed by a skilled hernia surgeon. Demographic data and perioperative outcomes were collected to eva-luate the safety and effcacy of this modifed technique.RESULTSOf these eight patients, two had concomitant incisional hernias. All the hernias were repaired by the modifed laparoscopic Sugarbaker technique with no conversion to laparotomy. Three patients had in-situ reconstruc-tion of intestinal stoma. The median mesh size was 300 cm2, and the mean operative time was 205.6 min. The mean postoperative hospitalization time was 10.4 d, with a median pain score of 1 (visual analog scale method) at postoperative day 1. Two patientsdeveloped postoperative complications. One patient had a pocket of effusion surrounding the biologic mesh, and one patient experienced an infection around the reconstructed stoma. Both patients recovered after conservative management. There was no recurrence during the follow-up period (6-22 mo, average 13 mo).CONCLUSIONThe modifed laparoscopic Sugarbaker repair could fx the mesh reliably with mild postoperative pain and a low recurrence rate. The technique is safe and feasible for parastomal hernias. 展开更多
关键词 Parastomal hernia three-point anchoring and suturing Sugarbaker repair Mesh ENTEROSTOMY
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Existence of Sign-changing Solution for Three-point Boundary Value Problems 被引量:4
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作者 LI Chun-yan SU Ya-juan 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期458-466,共9页
In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(... In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, f : R → R is continuous, strictly increasing and f(0) = 0. 展开更多
关键词 three-point boundary value problem sign-changing solution the fixed-point index theory
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A CATASTROPHE ANALYSIS ON THE STABILITY OF THE CRACK GROWTH IN THREE-POINT BENDING SPECIMENS 被引量:2
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作者 Wei Demin Fan Xuejun, Taiyuan Unversity of Technology, Taiyuan 030024 《Acta Mechanica Solida Sinica》 SCIE EI 1996年第2期179-183,共5页
This paper presents an attempt at the application of catastrophe theory to the stability analysis of J-controlled crack growth in three-point bending specimens. By introducing the solutions of J-integral in the comple... This paper presents an attempt at the application of catastrophe theory to the stability analysis of J-controlled crack growth in three-point bending specimens. By introducing the solutions of J-integral in the completely yielding state for the ideal plastic material, the critical condition of losing stability for the crack propagation in the specimen is obtained, based on the cusp catastrophe theory. The process of the crack growth from geometrical sense is described. 展开更多
关键词 crack growth STABILITY cusp catastrophe J-INTEGRAL three-point bending specimen
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TWO POSITIVE SOLUTIONS TO THREE-POINT SINGULAR BOUNDARY VALUE PROBLEMS 被引量:3
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作者 李宇华 梁占平 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期29-38,共10页
In this article, we consider the existence of two positive solutions to nonlinear second order three-point singular boundary value problem: -u′′(t) = λf(t, u(t)) for all t ∈ (0, 1) subjecting to u(0) = ... In this article, we consider the existence of two positive solutions to nonlinear second order three-point singular boundary value problem: -u′′(t) = λf(t, u(t)) for all t ∈ (0, 1) subjecting to u(0) = 0 and αu(η) = u(1), where η ∈ (0, 1), α ∈ [0, 1), and λ is a positive parameter. The nonlinear term f(t, u) is nonnegative, and may be singular at t = 0, t = 1, and u = 0. By the fixed point index theory and approximation method, we establish that there exists λ* ∈ (0, +∞], such that the above problem has at least two positive solutions for any λ ∈ (0, λ*) under certain conditions on the nonlinear term f. 展开更多
关键词 three-point singular boundary value problem positive solutions fixed point index
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On the Existence of Positive Solution for a Nonlinear Third-order Three-point Boundary Value Problem 被引量:6
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作者 姚庆六 《Northeastern Mathematical Journal》 CSCD 2003年第3期244-248,共5页
An existence theorem of positive solution is established for a nonlinear third-order three-point boundary value problem. Here, we concentrated on the case that the nonlinear term is neither superlinear nor sublinear, ... An existence theorem of positive solution is established for a nonlinear third-order three-point boundary value problem. Here, we concentrated on the case that the nonlinear term is neither superlinear nor sublinear, and is not asymptotic at zero and infinity. 展开更多
关键词 third-order ordinary differential equation three-point boundary value problem positive solution EXISTENCE
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