摘要
散粒体材料的力学性能具有较强的随机性,研究其对本构关系的影响很有必要。在散粒体增量型内时本构关系的基础上,考虑材料参数的随机性,利用小参数摄动法,分析了应力增量和材料参数的统计特征值之间的关系,探讨了各参数的随机性对应力的影响程度。首先推导了散粒体增量型内时本构关系的摄动表达式,然后对式中的各参数进行了确定,最后由材料参数的均值和方差得到了应力增量的均值和方差,并以一个算例验证了方法的可行性。
The mechanical performance of granular materials has much randomness, The influence of randomness on the constitutive relations for granular materials is studied. Based on incremental endochronic constitutive relations for granular materials, the relationship between the statistic eigenvalue of stress increment and that of material parameters is investigated by considering the randomness of material parameters and using the small parameter perturbation law. The influence of randomness of each parameter on the stress is discussed. The perturbation expression of incremental endochronic constitutive relations for granular materials is established and the parameters in the perturbation expression are determined. The mean value and variance of the stress increment are obtained from those of material parameters. An example is studied to verify the practicability of the method.
出处
《工程力学》
EI
CSCD
北大核心
2004年第6期97-101,共5页
Engineering Mechanics
基金
国家自然科学基金资助项目(59778026)
陕西省自然科学基金资助项目(97C10)
关键词
随机参数
散粒体
本构关系
内时
摄动
random parameters
granular materials
constitutive relations
endochronic
perturbation
