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Study on Application of Homogenization Method in Structural Engineering

均质化方法在结构工程中的应用研究

基本信息

批准号：
06805040
负责人：
MITSUI Yasushi
金额：
$ 1.22万
依托单位：
Shinshu University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1994
资助国家：
日本
起止时间：
1994 至 1995
项目状态：
已结题

项目摘要

This research investigates the applicability of homogenization method to structural analysis by some numerical experiments, in detail. In order to analyze the stress of composite materials by means of FEM,effective coefficients of the materials, such as average elastic constants must be determined by some method. Homogenization method is one of mathematical means to obtain these constants. In this research, fiber-reinfored composite materials, sometimes used as thermal materials, is analyzed in detail. Due to the thermal insulating property that most fiber-reinforced composite materials possesses, ther application under high temperature circumstances, specially like using in space vehicles, is increasing. Consequently, it is quite necessary to establish a scientific and effective method to analyze heat stress and to deal with heat conduction. The research takes the advantage that the homogenization method is applicable to any cases that composite materials is fiber-reinforced in one, t … More wo or three directions, namely, it is not needed to consider geometrical limit so seriously. Hence this method is applicable for evaluation of average heat conduction rate and expand rate. A process to evaluate these parameters is given.In this term of project, research results gained are roughly summaried as follows :(1)The research shows that for elastic and thermal elastic problems, it is feasible to apply homogenization method to evaluate average elastic constants and heat expand coefficients. It is found that even local stress of the composite materials can also be obtained with a high degree of accuracy by this method.(2)With reference to unsteady heat conduction problems, if the heat conduction rate of inclusive materials is much higher than the one of fundamental materials, the constants can be evaluated exactly. Coversely, if the heat conduction rate of the former is much lower than the latter, the difference of average temperature can be found.(3)For heat conduction or its quasi-training problems, the research reveals that if heat conduction rate of fundamental is much higher than the one of inclusive materials, homogenization method is also feasible. Less

本研究借由数值实验，详细探讨均匀化方法于结构分析之适用性。为了用有限元法分析复合材料的应力，必须用某种方法确定材料的有效系数，如平均弹性常数。均匀化方法是求这些常数的数学方法之一。在这项研究中，纤维增强复合材料，有时被用作热材料，进行了详细的分析。由于纤维增强复合材料所具有的隔热性能，使其在高温环境下的应用，特别是在航天器上的应用日益增多。因此，建立一套科学有效的热应力分析方法和热传导处理方法是十分必要的。本研究的优点是均匀化方法适用于任何一种纤维增强复合材料的情况， ...更多信息两个或三个方向，即不需要如此认真地考虑几何限制。因此，该方法适用于计算平均导热率和膨胀率。（1）研究表明，对于弹性和热弹性问题，应用均匀化方法求解平均弹性常数和热膨胀系数是可行的。结果表明，该方法还可以得到复合材料的均匀局部应力，且精度较高。（2）对于非稳态热传导问题，如果包容材料的导热率远大于基本材料的导热率，则可以精确地求出常数。反之，如果前者的导热率远低于后者，则可以发现平均温度的差异。（3）对于热传导或其准训练问题，研究表明，如果基础材料的热传导率远高于包容材料的热传导率，则均匀化方法也是可行的。少