摘要
利用随机过程的谱展开理论及Hudson的裂纹介质模型构造一种裂纹数密度具有空间统计分布的随机介质模型的理论。利用Hudson理论的裂纹的微观参数(裂纹数密度)与裂纹介质的宏观性质(弹性常数)相联系的特点,模拟了二维指数型椭圆型随机介质。结果表明模型将裂纹的微观参数与裂纹介质的宏观性质直接联系起来,并且裂纹数密度对随机裂纹介质的各个弹性常数有不同程度的影响。
One model of random media is presented according to the theory of spectral factorization in stochastic process and Hudson's model of cracked medium. The advantage of Hudson's model is to make contact between the crack's microparameters (crack number density) with the macroproperties (elastic constants) of cracked media. Using this advantage, we present an ellipsoidal random model. The results show that the model outline the relationship between microproperties and the macroproperties of random media, and can flexibly and effectively describe real cracked media, and the crack number density has different effect on the elastic constants of random cracked media.
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
2003年第2期1-4,共4页
Journal of National University of Defense Technology
基金
国家自然科学基金资助项目(40074025)
教育部优秀青年教师资助计划项目
关键词
裂纹数密度
随机介质
谱展开
自相关函数
crack number density
random media
spectral-factorization
auto-correlation function
