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以计算微观力学的分析观点,力图在清晰的物理、几何图像下,应用多域边界元数值算法,对工程机械中承力构件常见的合金材料微结构的弹性性质进行数值仿真。由仿真所获得的弹性应力应变数据,采用EDF统计量进行拟合优度检验,获得了材料微结构表观弹性参数的数值统计规律。为构造材料微结构的力学计算模型,本文采用概率计算几何方法生成其几何网络,应用MonteCarlo技术投放各晶粒的材料主轴方向。本文不仅尝试了在微结构尺度下进行力学分析的可能性,而且获得了诸多有积极意义的结论,这有助于建立在概率基础上的可靠性宏观强度设计。
In order to calculate the microscopic mechanics analysis point of view, trying to use the multi-domain boundary element numerical algorithm under the clear physical and geometric images to simulate the elastic properties of the common microstructure of the alloy bearing members in construction machinery. From the elastic stress and strain data obtained from the simulation, the goodness of fit test is carried out using the EDF statistics, and the numerical statistical rules of the apparent elastic parameters of the material microstructure are obtained. In order to construct the mechanics calculation model of the material microstructure, this paper uses the geometric method of probabilistic calculation to generate its geometric network, and uses the Monte Carlo technique to put the direction of the material principal axis of each grain. In this paper, not only the possibility of carrying out mechanical analysis at the microstructure scale but also the positive conclusions have been obtained, which contributes to the design of reliability macroscopic strength based on probability.