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针对计算随机颗粒分布复合材料弹性位移/力学场时,采用样本求力学性能期望值需要花费大量时间和内存的问题,给出了一种计算颗粒随机分布复合材料弹性位移场的均匀化方法,并且获得了均匀化位移场与期望位移场之间的一种理论误差,首先由复合材料的特性定义了均匀化理论的随机场和概率空间,然后结合单胞内颗粒随机分布复合材料的特性做了一些合理假设得到了在整个颗粒随机分布复合材料组成区域上的期望位移场与均匀化位移场之间的一种理论估计,最后对此法所具有的优点、适应范围,缺点、以及需要改进的地方做了进一步讨论。
Aiming at the problem of calculating the elastic displacement / mechanical field of random composites with random particles, it takes a great deal of time and memory to calculate the expected value of the mechanical properties of the composites. A method to calculate the elastic displacement field of the composites with randomly distributed particles is given and obtained A theoretical error between the uniform displacement field and the expected displacement field is obtained by first defining the random field and the probability space of the homogenization theory from the properties of the composite materials and then making some combination of the characteristics of the random distribution of the composite particles Reasonable assumption has been obtained in the region of the particle composition of random composite materials expected displacement field and uniform displacement field between a theoretical estimate, and finally the advantages of this method, the scope of adaptation, shortcomings, and the need for improvement Made further discussion.