材料结构状态集合分析理论

STATE SET THEORY OF THE STRUCTURAL MATERIAL ANALYSIS

  • 摘要: 材料的结构性具有普遍性,材料的结构性研究是目前这一领域的研究难点和重点问题。材料结构状态集合分析理论是研究材料结构性问题的一种新的方法。材料结构状态集合分析理论是以材料结构的状态集合为研究对象,以材料的微结构元集合为基础,通过对材料微结构元配分函数的分析,建立起材料宏观层面上的材料结构状态集合函数方程,得到材料的整体宏观性能描述方法。根据对材料结构的宏观强度、材料结构的刚度和材料几何状态的变化,建立了材料结构状态集合函数的控制方程;通过材料微结构元集合的分布状态分析,建立了材料不同结构状态下的微结构元的配分函数方程;在对微结构元组构关系分析的基础上,建立了微结构元的具体分析方法和宏观参数之间的关系;讨论了材料结构状态集合分析理论下的若干理论问题及今后需要做的工作。

     

    Abstract: The structural properties of materials are universal. The structural study of materials is a difficult and important problem in this field. The theory of state set analysis of material structure is a new method to study the structural problems of materials. The theory of state set analysis of material structure is based on the collection of the state of material structure and the microstructure element set of material. Based on the analysis of the distribution function of the microstructure element of material, a set function equation of the state of material structure at the macro level is established. According to the macroscopic strength of material structure, the stiffness of material structure, the change of the geometrical state of material and the control equation of the state set function of material structure are established. By the analysis of the distribution state of the micro structure element of material, the partition function equation of the micro structure of material is formed. On the basis of the analysis of the micro structure element, the relationship between the micro structure and the macro structure parameters is established. Some theoretical problems in state set analysis of the material structure and the required future work are discussed.

     

/

返回文章
返回