SELF-ADAPTIVE STRATEGY FOR ONE-DIMENSIONAL FINITE ELEMENT METHOD BASED ON ELEMENT ENERGY PROJECTION METHOD

Based on the newly-developed element energy projection (EEP) method for computation of super-convergent results in one-dimensional finite element method (FEM), the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach.     

粘弹性顶板岩层下煤柱岩爆的尖点突变与滞后

本文针对粘弹性顶板下煤柱岩爆问题建立了一个简单力学模型；用尖点突变理论讨论了岩爆的非稳定机制，阐明比值ｋ（ｔｃ）／λ１和外力功对系统岩爆的作用；说明了岩爆滞后是由于控制参量变化需要经过一段滞后时间才满足分叉集方程所致；并对影响岩爆滞后时间的因素进行了讨论．     

稀土配位聚合物{(H_2prz)[Ln_2(pzdc)_4(H_2O)_2]·5H_2O}_n(Ln=Eu,Tb)的合成、结构和性质

以Ln(NO3)3、H2pzdc(2,3-吡嗪-二羧酸)和prz(哌嗪)为原料,在水热条件下得到了2个结构新颖的稀土配位聚合物{(H2prz)[Ln2(pzdc)4(H2O)2]·5H2O}n(Ln=Eu(1),Tb(2))。对它们进行了元素分析、红外光谱、粉末X-射线衍射、热重等分析,并用X-射线衍射测定了它们的单晶结构。2个配合物的晶系都属于三斜晶系,P1空间群。研究了它们的荧光性质,固体荧光实验测试结果表明,2个配合物在室温下均表现出相应稀土离子的特征荧光发射。     

夸克模型和原子核

本文评述了近年来从夸克模型出发研究原子核的种种尝试,着重讨论了应用夸克型模解释核力的各种方案。     

高剪切率的Couette流下液氩流体热导率的分子动力学模拟

基于平衡分子动力学(EMD)模拟方法,对Lees-Edwards周期性边界条件作一修正并成功地应用其形成具有高恒定剪切率的Couette流动,最后通过Green-Kubo公式计算得到了剪切流下液氩流体的热导率。计算结果,表明在剪切流下液氩流体的热导率仍然表现为各向同性,同时还发现流动方向的热导率不随流动剪切率的增加而发生变化,并且该值跟静态下液氩的热导率(λ=0.132 Wm~(-1)K~(-1))基本一致。     

一种合成N-苯基苯并咪唑的新方法

成功开发出一种直接合成N-苯基苯并咪唑的新方法.在不使用金属催化剂与强碱的条件下,通过苯并咪唑与二苯基碘三氟甲磺酸盐的反应合成了目标化合物,采用1H NMR与13C NMR技术对目标化合物进行了表征,并确定了最佳反应条件.在苯并咪唑与二苯基碘三氟甲磺酸盐的物质的量比为1∶1.2、溶剂乙醇/二甲苯的体积比为1∶4、反应温度为120℃、反应时间为24h的最佳反应条件下,使目标化合物的产率达到了52.0％,并回收了等量的碘苯.此外,通过高效液相色谱技术进行跟踪监测,对该反应的机理进行了探讨.