A model for crack formation during active solid pyrolysis of a char-forming solid: crack patterns; surface area generation; volatile mass efflux

A model is developed for the formation and propagation of cracks in a material sample that is heated at its top surface, pyrolyses, and then thermally degrades to form char. In this work the sample is heated uniformly over its entire top surface by a hypothetical flame (a heat source). The pyrolysis mechanism is described by a one-step overall reaction that is dependent nonlinearly on the temperature (Arrhenius form). Stresses develop in response to the thermal degradation of the material by means of a shrinkage strain caused by local mass loss during pyrolysis. When the principal stress exceeds a prescribed threshold value, the material forms a local crack. Cracks are found to generally originate at the surface in response to heating, but occasionally they form in the bulk, away from ever-changing material boundaries. The resulting cracks evolve and form patterns whose characteristics are described. Quantities examined in detail are: the crack spacing in the pyrolysis zone; the crack length evolution; the formation and nature of crack loops which are defined as individual cracks that have joined to form loops that are disconnected from the remaining material; the formation of enhanced pyrolysis area; and the impact of all of the former quantities on mass flux. It is determined that the mass flux from the sample can be greatly enhanced over its nominal (non-cracking) counterpart. The mass efflux profile qualitatively resembles those observed in Cone Calorimeter tests.     

一类血吸虫病模型Hopf分支的频域分析

运用频域上的分支理论研究了一类血吸虫病传播模型的Hopf分支动态，严格证明了Hopf分支的存在性，运用四阶调和平衡方法推导出由Hopf分支产生的周期轨的近似解析表达式、频率和振幅。研究结果表明，被感染的钉螺由潜伏期进入易传染期的几率δ对人体内寄生虫数量有重要影响。     

交变磁场对磁性磨粒的作用分析

对处于交变磁场作用下的磁性磨料颗粒的受力和运动规律进行了分析和描述，为交变磁场作用下的磁粒研磨光整加工技术提供了新的思路和工艺选择。     

PLC在磁场压力机中的应用

提出一种采用PLC控制的压制钕铁硼(Nd-Fe-B)磁性材料的机电一体系统，并介绍了系统重要组成部分：压机主体和电控箱，给出了电控箱中各控制部分的电路及工作原理。实验证明本系统具有结构紧凑、操作方便、控制性能好等优点。     

因素空间理论与知识表示的数学框架（Ⅷ）─—变权综合原理

本文是文［１－７］的继续，研究变权综合问题，从确定变权的经验公式入手引出了变权原理，给出了变权的公理化定义，讨论了与之有关的均衡函数及其梯度向量。     

Cycle and circle tests of balance in gain graphs: Forbidden minors and their groups

We examine two criteria for balance of a gain graph, one based on binary cycles and one on circles. The graphs for which each criterion is valid depend on the set of allowed gain groups. The binary cycle test is invalid, except for forests, if any possible gain group has an element of odd order. Assuming all groups are allowed, or all abelian groups, or merely the cyclic group of order 3, we characterize, both constructively and by forbidden minors, the graphs for which the circle test is valid. It turns out that these three classes of groups have the same set of forbidden minors. The exact reason for the importance of the ternary cyclic group is not clear. © 2005 Wiley Periodicals, Inc. J Graph Theory     

二氧化硅材料的应用

本文概述了溶胶-凝胶法制备光学石英玻璃的工艺过程，并就二氧化硅在微晶玻璃和膜技术方面的应用热点课题进行了简介。     

密度测量实验中仪器的正确使用与巧读数据

结合实验仪器的结构特点与工作原理,分别介绍了游标卡尺、螺旋测微计和物理天平的正确使用以及巧读数据的方法和步骤,指出并分析了实验教学过程中,在使用游标卡尺、螺旋测微计和物理天平及读数中常见的一些错误和问题。     

谈影视作品与大学英语教学的整合

要提高大学英语教学质量，必须丰富教学手段。利用影视作品辅助大学英语教学是一种很好的教学手段。本文就影视作品的优势、具体的教学应用及应用中的注意事项进行探讨。     

声诱饵仿真试验系统

文章介绍了声诱饵仿真试验系统中的有关问题，包括：系统的组成、工作原理、对接装置结构等。建立了对接装置声耦合状态下的数学模型，对近场声压分布进行了仿真计算，得出了匹配材料厚度、发射和接收换能器的选取原则。