QUALITATIVE ANALYSIS OF DYNAMICAL BEHAVIOR FOR AN IMPERFECT INCOMPRESSIBLE NEO-HOOKEAN SPHERICAL SHELL

IntroductionIn applications, it is commonly considered that the phenomena of cavity formation,growth and run-through of adjacent cavities occur in materials as precursors to failure. Thesephenomena are mainly due to instability of materials. On the other …     

Experimental and FEM study of windshield subjected to high speed bird impact

Both experimental and finite element model (FEM) results are presented for the dynamic strength behavior of windshield subjected to bird impact. The experimental data taken from a series of high speed photographs are compared with the numerical results predicted by using FEM in which the windshield was modeled entirely with solid elements and the bird body was approximately simulated by an elastic-plastic material with failure element behavior. Effective plastic strain and element pressure were adopted as the failure criteria and once the pressure or the effective plastic strain of an element reached the critical value, the element would lose the tensile resistance capability completely. The deflection and stress distribution in the windshield were obtained. It is shown that the result from the finite element analysis agrees with those from the full-scale bird impact test. The project supported by the National Natural Science Foundation of China (10272011)     

电流变液体黏性变化趋势的试验研究

以微观试验和流变性能试验为手段，分别研究零电场下和在电场作用下的电流变液体黏性变化规律．研究结果表明：零电场下电流变液体的黏性与Krieger-Dougherty公式具有很好的拟合效果，其中逾渗临界值强依赖于悬浮液体中固体颗粒的性质并随工作温度变化．在电场作用下，电流变悬浮液体的黏度随剪切速率的变化规律分为3个阶段：即呈线性的启动段、非线性的幂定律模型流动段和宾汉模型流动段．研究结果为电流变效应工程应用提供依据．     

三维漏斗中颗粒物质堵塞问题的数值实验研究

对于工程和实验中使用漏斗颗粒流而言,连续稳定的流量是必要的.当漏斗口较小时,很容易发生堵塞行为.堵塞现象对于交通流、疏散问题等也具有重要的意义.前人主要使用扰动的方法破坏漏斗中已有的堵塞,以便引起下一次堵塞,加快实验进程.本文利用自主开发的基于GPU(graphics processing unit)的密集颗粒流模拟程序,主要研究当三维漏斗开口打开后的第一次堵塞行为,不再引入扰动.详细讨论了漏斗开口尺寸、漏斗锥角等几何参数对坍塌规模的影响.发现对于坍塌规模的概率分布符合前人的研究结果,可以分为两部分:峰的左边呈幂函数上升形式,峰的右边呈指数衰减趋势.对于漏斗开口尺寸和漏斗锥角而言,均存在一个临界值使得堵塞不再发生.     

基于成本效用分析的电能替代实证研究

近年来的雾霾让人们逐渐意识到环境保护的重要性,国网公司基于我国“多煤、少气、贫油”的国情,提出了以电代煤的电能替代方案。本文以在电力和煤炭的使用过程中可获得的热值作为效用,以使用过程中所需要的年费用作为成本,建立了电能替代的成本效用模型,计算出实现电力和煤炭相互替代的排污费临界值,并通过一个算例进行了实证分析。分析结果表明:电价、单位电力排污量、燃煤设备寿命对排污费临界值有正向影响;煤价、单位燃煤排污量、电力设备寿命对其有负向影响。最后,在分析的基础上给出了电能替代的政策建议。     

球面上皱褶花样的演化

文章从理论和实验两方面研究了通过控制柔性衬底的曲率来调控球面上应力诱导之皱褶花样的可行性.研究以Ag内核/SiO2壳层微结构为对象.结果表明,当球形衬底的曲率较小且应力刚超过临界值时,皱褶花样为三角铺排的凹痕结构;而当应力进一步增大和/或衬底的半径增大时,则出现迷宫形的花样.皱褶的周期长度和临界屈曲应力都随衬底半径的增大而增大.此方向上的研究对于理解大自然中许多花样(比如花叶序与皱纹)的产生和演化具有重要的意义.     

LP问题的λ算法

本给出了求LP问题的最优解的λ算法，并指出了此法旋转运算的次数，此算法不需要基本可行解或对偶基本可行解。     

临界情况下模糊矩阵对策的性质

讨论临界情况下模糊矩阵对策的性抽，对模型问题各种情况给出了临界值c*的定义，证明了当d(f1,f2)＜ε≤c*时，模糊矩阵对策模型问题关于价值函数f1(x)、f2(x)具有连续依赖性和可调和性。     

Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case the simultaneous quenching can happen for any solution.