分形理论在陶瓷材料研究中的应用

阐述了近年来分形理论在陶瓷粉体、陶瓷材料的微观结构、晶体生长动力学以及预测陶瓷材料物理性能等方面的应用情况     

分形理论在陶瓷材料研究中的应用

介绍了分形理论的产生、分形维数的定义和几种常见的计算方法,主要包括：盒维数法、Hausdorff维数法和长度—面积关系公式法。并概述了分形理论在陶瓷材料研究中微观结构、晶体生长动力学和断裂行为等方面的应用情况。其中重点介绍了分形在陶瓷材料断裂行为研究中的国内外现状。     

分形论在无机材料研究中的应用

介绍了分形论在无机材料表面研究、无机薄膜材料、梯度功能材料及无机材料断裂研究等方面的应用情况,并展望了其在玻搪材料中的应用前景.     

分形理论在化学中的应用

分形理论是现代非线性科学中的一个重要的分支,是科学研究中一种重要的数学工具和手段,做为一门新兴交叉学科,它在自然科学和社会科学都有重要应用。本文分别从电沉积、催化、生物大分子、材料科学和金属腐蚀等方面阐述了分形理论在各学科的应用及最新研究进展。     

分形理论及其在无机材料研究中的应用

分形学是一门处于迅速发展的学科,是研究复杂性科学理论的重要组成部分,其影响范围和应用领域也在日益扩大.在材料科学领域,分形学是一种研究材料的数学工具.笔者介绍了分形学的基本理论,分形维数的测定方法以及其在材料的烧结、氧化,薄膜的生长,材料的磨损、断裂,陶瓷粉体和玻搪材料中的应用,并展望了分形学的发展前景.     

分形理论及其在絮凝中的应用

由于在许多学科中的迅速发展，分形已经成为一门描述自然界中许多不规则事物及现象的规律性学科。本文介绍了分形的概念、理论、以及在絮凝机理研究中的应用与一般方法。     

分形理论及其在絮凝中的应用

由于在许多学科中的迅速发展,分形已经成为一门描述自然界中许多不规则事物及现象的规律性学科。本文介绍了分形的概念、理论、以及在絮凝机理研究中的应用与一般方法。     

分形理论及其在化学和化工中的应用

分形（Ｆｒａｃｔａｌ）是一门正处于迅速发展中的新学科,其影响范围和应用领域也在日益扩大。本文简要介绍了分形理论的基本概念,以及分形应用于化学及化工领域中的研究进展情况。     

分形理论在润滑油添加剂合成研究中的应用

本文基于分形理论,利用图形处理软件对釜式法和超重力法合成的环烷酸钙的TEM照片进行处理,使用网格法对其分形维数进行了计算,并根据计算结果对不同合成条件下生成的环烷酸钙颗粒的形貌特征以及合成工艺进行了分析对比。结果表明:将分形理论应用于添加剂的产品的形态分析及合成工艺中,分形维数不仅被证明可以作为表征颗粒形貌特征及评价添加剂清净性能的重要参数,同时也与添加剂产品的合成工艺密切相关,可以间接作为评价添加剂合成工艺优劣的重要指标,同时从反应动力学和反应器结构两方面出发分析了添加剂颗粒成核的分形特征以及运动变化规律,说明添加剂合成过程不仅与物料的微观混合情况有关,同时也与反应器的组成结构关系密切。     

Texture and fractal analysis of silica-alumina glass ceramics

Using electron-microscopy micrographs, texture and fractal characteristics of the microstructure of silica-alumina glass ceramics are calculated at different temperatures. The relationship between the numerical characteristics of the intensity of liquation and crystallization processes of aluminosilicate glass ceramic samples and their thermal coefficients of linear expansion with the values of the fractal dimension and its derivatives is established for photomicrographs of the studied heat-treated samples.     

分形理论在耐火材料生产中的应用

介绍了分形理论在耐火材料生产过程中的应用 ,提出 :(1)在耐火材料破粉碎工序之前加一个冷却处理工序 ,应用分形理论研究矿石碎裂机制 ,可提高耐火原材料尤其是硬质耐火原料的破粉碎效率 ;(2 )研究粉体颗粒的分形结构 ,既可以预测超微粉体的流动性 ,也可以预测粉体在压制过程中的充填状况 ,从而改良粉体的制备、存储、输送和运输等过程 ;(3)建立受压状态下矿石的分形裂纹结构、矿石构造特征以及施加给矿石的应力应变方式这三者之间的联系 ,对完善磨矿工序中的前馈质量控制有帮助 ;(4 )确定分形级配的颗粒配比 ,将有利于提高材料的性能 ;(5 )在耐火材料中添加分形结构的弥散粒子或纤维 ,能有效提高耐火材料的强度和韧性 ;(6 )加强吸入粉尘分形结构研究 ,防治耐火材料行业的职业病。     

多孔陶瓷及其在清洁方面的应用

多孔陶瓷是一种新型材料,由于其具有化学稳定性等优良特性,而被广泛地应用于众多科学领域。综述了多孔陶瓷的特点、分类、制备工艺,并着重论述其在清洁方面的应用。展望多孔陶瓷的发展前景。     

Applications of ice‐templated ceramics

The freeze‐cast ceramics process involves the use of an aqueous slurry in which ice acts as a fugitive template, providing control of the morphology of the resultant green body, which is then sintered. Here, we report a variety of applications of ice‐templated ceramics, showcasing the versatility of the process. Applications include: as a suitable scaffold for silver loading and release at concentrations that could show antibacterial properties; as a component of a robust composite material with negative thermal expansion but reduced material cost; as thin porous structures for dye‐sensitized solar cells.     

Application of fractal theory for characterisation of crystalline deposits

The objective of this investigation was to study the mechanisms of mixed salt crystallisation fouling on heat transfer surfaces and to characterise the structure of the deposits formed on the heat transfer surfaces. The effects of various operating parameters such as solution composition and hydrodynamics of the system on crystallisation fouling of mixtures of calcium sulphate and calcium carbonate, which are the most common constituents of scales formed on heat transfer surfaces, were studied experimentally. After clarification of the effects of operating parameters on the deposition process, deposits on the heat transfer surfaces were collected for analysis. The crystalline samples were analysed using Scanning Electron Microscopy, X-Ray Diffraction and Ion Chromatography techniques. It was found that crystallisation fouling on heat transfer surfaces exhibits fractal geometry. Therefore, the concept of fractal theory was used to quantify the structure of the deposits by introducing a new quantity called the fractal dimension.     

On the fractal theory of the slow deflagration-to-detonation transition in gases

The basic equations of combustion hydrodynamics are formulated on the basis of notions such as the “normal flame velocity” and the “combustion surface”. In the general case of turbulent combustion, the combustion surface is represented as a fractal. It is shown that such a representation and the method of constructing the basic equations do not contradict the previous results obtained within the framework of the classical theory of combustion and the statistical theory of turbulence. The slow deflagration-to-detonation transition upon ignition at a closed end of a tube is studied. The results obtained correspond in order of magnitude to experimental data. Translated fromFizika Goreniya i Vzryva, Vol. 34, No. 1, pp. 70–78, January–February, 1998.     

分形理论分析填料塔内件的发展

综述了乱堆填料、规整填料和气液分布装置的发展概况,应用分形理论分析填料的几何结构对气液传质的影响,并提出了今后填料塔研究的方向.     

分形理论在混凝研究中的应用与展望

近几十年来,混凝技术领域研究在各方面均取得了较大的成果,呈现出十分活跃的发展趋势,并面临着突破性进展的前沿。尤其是分形理论的研究给人们提供了全新的观念与手段来处理自然界中扑朔迷离的无序混乱现象和无规形态诸多难题。作者对分形理论在混凝技术研究中的应用进行了较为全面的综述,以期推动混凝研究的进一步发展。     

Applications of laser holography in vibratory analysis of piezoelectric ceramics and transducers

In this paper the vibratory holograms of piezoelectric elements and transducers under resonance state are investigated by means of the time-average method of laser holography. Also investigated are a series of dynamic vibratory characteristics calculated from holograms, such as vibratory type, amplitude, relations between amplitude and excitation voltage, relations between amplitude and frequencies, amplitude distribution on the vibratory face etc. Suggestions are made on using the holography to examine the effects of transducer design, the improvement of technology, property and unanimity transducers, the determinations of various vibratory models of piezoelectric ceramic elements and the evaluations of qualities of piezoelectric elements.