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| 1 | The relation of Banach-Alaoglu theorem and Banach-Bourbaki-Kakutani-mulian theorem in complete random normed modules to stratification structure显示文摘Let (Ω,A,μ) be a probability space, K the scalar field R of real numbers or C of complex numbers,and (S,X) a random normed space over K with base (Ω,A,μ). Denote the support of (S,X) by E, namely E is the essential supremum of the set {A ∈ A : there exists an element p in S such that Xp(ω) > 0 for almost all ω in A}. In this paper, Banach-Alaoglu theorem in a random normed space is first established as follows: The random closed unit ball S*(1) = {f ∈ S* : Xf* 1} of the random conjugate space (S*,X*) of (S,X) is compact under the random weak star topology on (S*,X*) iff E∩A=: {E∩A | A ∈ A} is essentially purely μ-atomic (namely, there exists a disjoint family {An : n ∈ N} of at most countably many μ-atoms from E∩A such that E =∪n∞=1 An and for each element F in E∩A, there is an H in the σ-algebra generated by {An : n ∈ N} satisfying μ(F △H) = 0), whose proof forces us to provide a key topological skill, and thus is much more involved than the corresponding classical case. Further, Banach-Bourbaki-Kakutani-mulian (briefly, BBKS) theorem in a complete random normed module is established as follows: If (S,X) is a complete random normed module, then the random closed unit ball S(1) = {p ∈ S : Xp 1} of (S,X) is compact under the random weak topology on (S,X) iff both (S,X) is random reflexive and E∩A is essentially purely μ-atomic. Our recent work shows that the famous classical James theorem still holds for an arbitrary complete random normed module, namely a complete random normed module is random reflexive iff the random norm of an arbitrary almost surely bounded random linear functional on it is attainable on its random closed unit ball, but this paper shows that the classical Banach-Alaoglu theorem and BBKS theorem do not hold universally for complete random normed modules unless they possess extremely simple stratification structure, namely their supports are essentially purely μ-atomic. Combining the James theorem and BBKS theorem in complete random normed modules leads directly to an interesting phenomenum: there exist many famous classical propositions that are mutually equivalent in the case of Banach spaces, some of which remain to be mutually equivalent in the context of arbitrary complete random normed modules, whereas the other of which are no longer equivalent to another in the context of arbitrary complete random normed modules unless the random normed modules in question possess extremely simple stratification structure. Such a phenomenum is, for the first time, discovered in the course of the development of random metric theory. | GUO TieXin Key Laboratory of Information Mathematics and Behavior of Ministry of Education, Department of Mathemat-ics, Beihang University, Beijing 100083, China | 2008 | Science China Mathematics2008，51，9： | 18 |
| 2 | Alekseevskii-Tate revisited:An extension to the modified hydrodynamic theory of long rod penetration显示文摘The modified hydrodynamic theory of long rod penetration into semi-infinite targets was established independently by Alek-seevskii and Tate over forty years ago and since then many investigators contributed much to the development of the high speed penetration mechanics.However,in all the models proposed so far,the target resistance Rt is not well defined and usually determined by adjusting it until the predicted depth of penetration comes to an agreement with experimental data.In this paper,assumptions are first made about particle velocity and pressure profiles together with response regions in the target and then an extension is made to the modified hydrodynamic theory of long rod penetration into semi-infinite targets,in which Rt has explicit form and is dependent on penetration velocity as well as thermo-mechanical properties of target material.The present model is compared with long rod penetration tests for different material combinations.It transpires that the present model predictions are in good agreement with the experimental data and numerical simulations in terms of penetration depth although many assumptions and simplifications are introduced into the paper. | LAN Bin & WEN HeMing CAS Key Laboratory for Mechanical Behavior and Design of Materials,University of Science and Technology of China,Hefei 230027,China | 2010 | Science China(Technological Sciences)2010，53，5： | 14 |
| 3 | Analytical model for cratering of semi-infinite metallic targets by long rod penetrators显示文摘Analytical model is presented herein to predict the diameter of crater in semi-infinite metallic targets struck by a long rod penetrator. Based on the observation that two mechanisms such as mushrooming and cavitation are involved in cavity expansion by a long rod penetrator, the model is constructed by using the laws of conservation of mass, momentum, energy, together with the u-v relationship of the newly suggested 1D theory of long rod penetration (see Lan and Wen, Sci China Tech Sci, 2010, 53(5): 1364–1373). It is demonstrated that the model predictions are in good agreement with available experimental data and numerical simulations obtained for the combinations of penetrator and target made of different materials. | WEN HeMing, HE Yu & LAN Bin CAS Key Laboratory for Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei 230027, China | 2010 | Science China(Technological Sciences)2010，53，12： | 9 |
| 4 | Ultralight X-type lattice sandwich structure (Ⅱ):Micromechanics modeling and finite element analysis显示文摘The methods of homogenization and finite elements are employed to predict the effective elastic constants and stress-strain responses of a new type of lattice structure,the X-structure proposed by the authors in a companion paper. It is shown that in most cases the predictions by the equivalent homogenization theory agree well with the experimental and 3-dimensional finite element calculated results. The theoretical and numerical study supports the argument that the X-structure is superior to the pyramid lattice structure in terms of mechanical strength. | ZHANG QianCheng1,CHEN AiPing 2,CHEN ChangQing2,3 & LU TianJian2 1 State Key Laboratory for Mechanical Behavior of Materials,School of Material Science and Engineering,Xi’an Jiaotong University,Xi’an 710049,China 2 MOE Key Laboratory for Strength and Vibration,School of Aerospace,Xi’an Jiaotong University,Xi’an 710049,China 3 Department of Engineering Mechanics,AML,Tsinghua University,Beijing 100084,China | 2009 | Science China(Technological Sciences)2009，52，9： | 9 |
| 5 | Microstructure and Mechanical Properties of Nanocrystalline Tungsten Thin Films显示文摘Tungsten (W) thin films were prepared by magnetron sputtering onto Si (100) substrates. Their microstructures were characterized by X-ray diffraction (XRD), field emission scanning electron microscopy (FE-SEM) and transmission electron microscopy (TEM). The hardness and modulus were evaluated by nanoindentation. It is found that a 30 nm Cr sticking layer induces structure changes of deposited W film from β-W to α-W structure. In addition, remarkable hardness enhancement both for the deposited and annealed W films, were compared with that of bulk coarse-grained W, although their nanoindentation modulus is very close to that of corresponding bulk W. The intrinsic reasons that lead to structure changes and super hardness are discussed. | H.L. Sun, Z.X. Song, D.G. Guo, F. Ma and K.W. Xu State Key Laboratory for Mechanical Behavior of Materials, School of Materials Science and Engineering, Xi an Jiaotong University, Xi’an 710049, China | 2010 | Journal of Materials Science & Technology2010，26，1： | 6 |
| 6 | Novel strengthening methods for ultralightweight sandwich structures with periodic lattice cores显示文摘Recent development of ultralightweight lattice-cored sandwiches is reviewed,with focus placed on various novel fabrication methods introduced to strengthen these structures,covering not only research results published in the Science China Series E-Tech Sci,but also those in other domestic and overseas scientific journals. | LU TianJian 1 &ZHANG QianCheng 2 1 MOE Key Laboratory for Strength and Vibration,School of Aerospace,Xi’an Jiaotong University,Xi’an 710049,China 2 State Key Laboratory for Mechanical Behavior of Materials,School of Material Science and Engineering,Xi’an Jiaotong University,Xi’an 710049,China | 2010 | Science China(Technological Sciences)2010，53，3： | 5 |
| 7 | Influence of precipitation on the Portevin-Le Chatelier effect in Al-Mg alloys显示文摘In the alloy with solute content higher than the limiting solubility,the solute atoms that have failed to dissolve will precipitate from the solid solution and form precipitations.In this study, the Portevin-Le Chatelier(PLC) effects in annealed 5456 and 5052 aluminum alloys with different precipitation contents have been investigated under different applied strain rates.The results suggest that precipitations have significant effect on the PLC effect and the more the precipitations are, the greater the ... | Qi Hu,~(a))Qingchuan Zhang,~(b)) Shihua Fu,Pengtao Cao,and Ming Gong CAS Key Laboratory of Mechanical Behavior and Design of Materials,University of Science and Technology of China,Hefei 230027,China | 2011 | Theoretical & Applied Mechanics Letters2011，1，1： | 3 |
| 8 | Determination of Young's modulus by nanoindentation显示文摘A methodology for determining Youngs modulus of materials by non-ideally sharp indentation has been developed. According to the principle of the same area-to-depth ratio, a non-ideally pyramidal indenter like a Berkovich one can be approximated by a non-ideally conical indenter with a spherical cap at the tip. By applying dimensional and finite element analysis to the non-ideally conical indentation, a set of approximate one-to-one relationships between the ratio of nominal hardness/reduced Youngs modulus and the ratio of elastic work/total work, which correspond to different tip bluntness, have been revealed. The nominal hardness is defined as the maximum indentation load divided by the cross-section area of the conical indenter specified at the maximum indentation depth. As a consequence, Youngs modulus can be determined from a nanoindentation test only using the maximum indentation load and depth, and the work done during loading and unloading processes. The new method for determining Youngs modulus is referred to as pure energy method. The validity of the method was examined by performing indentation tests on five materials. The experimental results and the standard reference values are in good agreement, indicating that the proposed pure energy method is a promising substitution for the most widely used analysis models at present. | MA Dejun1, Chung Wo Ong2, LIU Jianmin1 & HE Jiawen3 1. Surface Engineering Research Institute, CMES, Beijing 100072, China 2. Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hong Kong, China 3. State Key Laboratory for Mechanical Behavior of Materials, Xian Jiaotong University, Xian 710049, China | 2004 | Science China(Technological Sciences)2004，47，4： | 3 |
| 9 | The effects of centrally administered fluorocitrate via inhibiting glial cells on working memory in rats显示文摘Although prefrontal and hippocampal neurons are critical for spatial working memory,the function of glial cells in spatial working memory remains uncertain.In this study we investigated the function of glial cells in rats' working memory.The glial cells of rat brain were inhibited by intracerebroventricular(icv) injection of fluorocitrate(FC).The effects of FC on the glial cells were examined by using electroencephalogram(EEG) recordings and delayed spatial alternation tasks.After icv injection of 10 μL of 0.5 nmol/L or 5 nmol/L FC,the EEG power spectrum recorded from the hippocampus increased,but the power spectrum for the prefrontal cortex did not change,and working memory was unaffected.Following an icv injection of 10 μL of 20 nmol/L FC,the EEG power spectra in both the prefrontal cortex and the hippocampus increased,and working memory improved.The icv injection of 10 μL of 50 nmol/L FC,the EEG power spectra in both the prefrontal cortex and in the hippocampus decreased,and working memory was impaired.These results suggest that spatial working memory is affected by centrally administered FC,but only if there are changes in the EEG power spectrum in the prefrontal cortex.Presumably,the prefrontal glial cells relate to the working memory. | WANG Lei1,2,LI Chao-Cui1,WANG Gong-Wu1 & CAI Jing-Xia1 1 Section of Brain and Behavior,Kunming Institute of Zoology,the Chinese Academy of Sciences,Kunming 650223,China 2 Graduate School of the Chinese Academy of Sciences,Beijing 100049,China | 2009 | Science China(Life Sciences)2009，52，8： | 2 |
| 10 | Vibration parameter measurement using the temporal digital hologram sequence and windowed Fourier transform显示文摘Real time digital recording and numerical reconstruction of a temporal digital hologram sequence have become feasible in recent years.They provide a new measurement method which enjoys the valuable advantages of being full-field,noncontact and high precision.In this paper,a combined method of temporal digital hologram sequence and windowed Fourier transform is proposed to measure the kinematic parameters of random vibration.A series of holograms are recorded by CCD camera and the original phase can be reconstructed by Fresnel reconstruction algorithm.The three-dimensional windowed Fourier transform is used to filter noise in phase and extract the instantaneous kinematic parameters of the specimen,such as the displacement,velocity and acceleration.An experiment is conducted on a chloroprene rubber latex membrane.Results demonstrate that the proposed method determines the vibration parameters precisely and enjoys many merits. | Chong Yang,1,2 and Hong Miao 1,1) Key Laboratory of Mechanical Behavior and Design of Materials (CAS) Department of Modern Mechanics,University of Science and Technology of China,Anhui 230027,China 2) Institute of Structural Mechanics Chinese Academy of Engineering Physics,Sichuan 621900,China | 2011 | Theoretical & Applied Mechanics Letters2011，1，5： | 2 |
| 11 | Melt-spun Al_(70-X)Si_(30)Mn_X (X=0,3,5,7,10) anode in lithium-ion batteries显示文摘Al70-XSi30MnX (X=0, 3, 5, 7, 10, mol%) ribbons were prepared by melt spinning. A supersaturated solid solution of Si and Mn in fcc Al and some microstructures consisting of nano grains were obtained. Some alloys with nano-sized grains exhibited high discharge capacities and favorable cycle properties. The capacity of more than 400 mAh/g could be obtained in melt-spun Al67Si30Mn3 alloy after 20 cycles and more than 300 mAh/g after 40 cycles. Li/Si and Li/Al compounds in the anodes of pure Al and pure Si were not detected in Al-Si-Mn alloys inserted by Li. It is considered that the formation of the supersaturated solid solution and refinement of microstructures have prevented the alloys from the forming the compounds with superfluous Li. As a result, the electrochemical properties have been improved. | SUN ZhanBo1, LI XuePeng1, WANG XiaoDong1, HU Qing1, ZHAO MingShu1, ZHU YaoMin2, LI Yan2 & SONG XiaoPing1 1 School of Science, State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, China 2 School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China | 2009 | Science China(Technological Sciences)2009，52，8： | 2 |
| 12 | Preparation and Properties of Macroporous Silicon Nitride Ceramics by Gelcasting and Carbonthermal Reaction显示文摘Macroporous silicon nitride (Si3N4) ceramics with high strength, uniform structure and relatively high porosity wereobtained by gelcasting and carbonthermal reaction in a two-step sintering technique. Microstructure and compositionwere investigated by scanning electron microscopy (SEM), transmission electron microscopy (TEM), X-ray diffraction(XRD). Open porosity, pore size distribution and basic mechanical performance were measured by Archimedes method,mercury intrusion porosimetry and three-point bending methods, respectively. SEM and TEM results revealed thatpores were formed by elongated β-Si3N4. SADP measurement proved the formation of SiC particles. The SiCgranules were beneficial for the formation of high ratio elongated β-Si3N4, and at proper amount, they also acted asreinforcement phase. Thermodynamic analysis indicated that the mechanisms of the reactions were mainly associatedwith liquid-solid reaction and gas-liquid reaction. | Wen ZHANG, Hongjie WANG+ and Zhihao JIN State Key Laboratory for Mechanical Behavior of Materials, School of Materials Science and Engineering, Xi’an JiaotongUniversity, Xi’an 710049, China | 2005 | Journal of Materials Science & Technology2005，21，6： | 2 |
| 13 | Theory of the firm: Managerial agency costs, and capital structure显示文摘 | Jensen M behavior C Meckling W H | 1976 | Journal of Economics1976，76，： | 1 |
| 14 | ferrocenyl-terminated hyperbranched polyester显示文摘 | Xiao Fengjuan Yin Changxiao Thermal behaviors of Wang Erxin | 2010 | J Inorg Organomet Polym2010，20，： | 1 |
| 15 | Nanomechanical of polydimethylsiloxane-filled a 显示文摘 | FANGT H WANGTH and surface behavior nanoporous anodic alumi Science 2009 44 (6) n KANG S H | 2009 | Journal of Materials2009，，： | 1 |
| 16 | The Use of Zebrafish Responses in Identifying Sublethal Exposures to Deltamethrin显示文摘 | Huang Y Zhang J Han X ( Danio rerio ) Behavioral | 2014 | Int J Environ Res Public Heahh2014，11，4： | 1 |
| 17 | a cathode material for rechargeable lithium batteries显示文摘 | Takahashi M Tobishima S Reaction behavior of LiFePO4 as Takei k | 2002 | Solid State Ionics2002，148，34： | 1 |
| 18 | Journal of Organizational Behavior显示文摘 | Moorman R H Blakely G L Individualism-collectivism as an individual difference predictor of organizational citizenship behavior | 1995 | 16:127-1421995，16，： | 1 |
| 19 | Part lI: Electrochemical analysis 显示文摘 | MOUANGA M BERCOT E Comparison of corrosion behavior of zinc in NaCI and NaOH solutions | 2010 | Corros Sci2010，52，： | 1 |
| 20 | by thermogravimetry (TG) and in a fixed bed reactor显示文摘 | MENG Meng HU Haoquan ZHANG Qiuming Pyrolysis behaviors of Tumuji oil sand | 2007 | Energy & Fuels2007，21，4： | 1 |
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