水力压裂中多裂缝间相互干扰力学分析

将复变函数理论与位错理论相结合 ,在考虑了裂缝表面有流体压力作用且裂缝间存在相互干扰的情况下 ,建立了无限大介质中裂尖应力强度因子的数学模型 ,利用该模型可对水力压裂中多裂缝间的相互干扰进行力学分析。假设裂缝沿着垂直于局部最大周向拉应力方向扩展 ,应用数值方法对所建立的数学模型求解 ,得到裂尖的应力强度因子及转角。数值计算结果表明 ,裂缝间存在相互干扰时所产生的剪切应力强度因子远远小于法向应力强度因子。当两个裂缝尖端垂向距离为零时 ,法向应力强度因子达到最大值。两个裂缝尖端没交叠之前裂缝基本沿着轴线扩展 ;当尖端交叠面积较小时 ,两裂尖偏离自己的轴线向避开对方的方向扩展 ;当尖端交叠面积较大时 ,两裂缝向靠拢对方的方向扩展 ,最终将贯通在一起     

边界单元法三维应力分析计算程序

以三维弹性力学问题的基本解 (Kelvin解 )为基础开发了边界单元法三维弹性应力分析计算程序 ,并对其进行了验证。结果表明 ,该程序可用来求解三维弹性应力问题 ,尤其适用于三维应力集中问题。程序中采用动态分配内存 ,自动选点积分 ,并利用分块解法求解方程组 ,有效地节省了计算机资源 ,扩大了求解问题的规模。     

电弧喷涂铝及铝-锌涂层在动态腐蚀介质中的耐蚀性研究

对钢铁基体表面电弧喷涂铝及铝锌涂层进行了动态腐蚀实验 ,以失质量法计算了腐蚀速度 ,并探讨了腐蚀机理。采用SEM对铝及铝锌涂层腐蚀前后的外表形貌进行了观察 ,并对铝及铝锌涂层表面进行了能谱分析 ,采用电化学系统测试了涂层的自腐蚀电位。实验结果表明 ,在 3 %NaCl水溶液中铝涂层的耐蚀性优于铝锌涂层 ;其原因是铝涂层表面上氧化膜的自愈能力及自腐蚀电位高于铝锌涂层。研究还表明 ,铝及铝锌这些阳极涂层不仅能有效地保护它所覆盖的钢铁表面 ,还能保护暴露于腐蚀介质中的钢铁基体表面。在铝、铝锌涂层上刷涂有机涂料 ,有机涂料能渗透到金属涂层的孔隙中 ,将孔隙封闭。同时 ,有机涂层和金属涂层能构成复合涂层 ,其防腐效果更佳     

Asymptotic Approximations of Jacobi Polynomials and Their Zeros with Error Bounds

IntroductionUniform asymptotic expansions and error boundsof the (α,β>- 1 ) two- term approximations of theJacobi polynomials P(α,β)n ( cosθ) were obtained[1] .Their result wassin θ2α cosθ2βP(α,β)n ( cosθ) =Γ( n +α + 1 )n!θsinθ1/ 2 Jα( Nθ)Nα +θB0 (θ) Jα+1( Nθ)Nα+1+σ2 ,|σ2 |≤ E2 θ2 +αN -2 ,　 0≤θ≤ π2 ,where E2 is a construct.Baratella and Gatteschiused the first two terms of this expansion[2 ] toconstructa more accurate one- term approximation:x(θ)x′(θ)…     

Structural and Chemical Diversity of TI-Based Cuprate Superconductors

The first TI一based euprate supereonduetor,TI一Ba-Cu一(),was diseovered by 2.2.Sheng and A.M.Hermann仁1〕. TI beeomes supereondueting at 2.38 K.NumerousTI eompounds and alloys are supereondueting.TIMo6Ses has the highest transition temperature of1 2.2 K among all non一euprate Tl eontaining alloyand eompound supereonduetors.Before thediseovery of the euprate supereonduetors,some TIeontaining oxide supereonduetors were found,among whieh TI。.3W()3 has the highest transitiontemPerature,2.14 K. Sinee the diseovery of TI euPratesuPereonduetors,two distinet families have beenidentified.Soon after the diseovery of TI一Ba一Cu-(),supereonduetivity was eonfirmed in TI一Ba一Ca-Cu一()samples.The ehemieal eompositions anderystal struetures of those eompounds were workedout as T12BaZCu()6,T12BaZCaCuZ()。,andT12BaZCaZCu3OI。[2〕.This 15 the first family of TIeuPrate supereonduetors,whieh features two TIatoms in eaeh ehemieal formula.     

Oxidative Treatment of Some Reactive Dyes by Fenton Reagent

Nine kinds of reactive dye solutions: Reactive K-2RL, H-E2R, X-6B1Y, HE-4G, X-3B, K-2R,H-E7B, X-4RN and S-F3B were treated by usingFenton reagent. While the concentration of dye is 400mg/L, the FeSO_4 dosage 100-180 mg/L, H_2O_2 240～540 mg/L, that is the stoichiometric numbers of Fe~(2+)and H_2O_2. are between 1: 9～1: 12, pH=3, reaction     

Quantitative Analysis on Postponement Strategies of Decoupling Points in Mass Customization

The key to mass customizing effectively is postponingthe deco upling point of customer order in the supplynetwork. This paper focused on quantitative analysison postponement strategies of multiple decouplingpoints in mass customization to improve operating     

Emergent Property in Macromolecular Motion

In this paper, the model of inverse cascade fractal super-blocks along one direction (in the positive or negative) in the 3-dimensional space is developed to describe the self-similar motion in macromolecular system. Microscopically the cohesive and dispersed states of the motion blocks are co- existent states with vastly different probability of occurrence. Experimental results and theoretical analysis show that the microscopic cohesive state energy and dispersed state energy of each motion block are respectively equal to the macroscopic glassy state energy kTg and molten state energy kTm of the system. This singularity unveils topologically the non-integrability, mathematically the anholonomy, and macroscopically the emergent property. This singularity also reveals that the glass, viscoelastic and melt states are three distinct emergent properties of macromolecular motion from a macroscopic viewpoint. The fractal concept of excluded volume is introduced to depict the random motion at various scales in     

Computer Data Processing of the Hydrogen Peroxide Decomposition Reaction

Two methods of computer data processing, linear fitting and nonlinear fitting, are applied to compute the rate constant for hydrogen peroxide decomposition reaction. The results indicate that not only the new methods work with no necessity to measure the final oxygen volume, but also the fitting errors decrease evidently.