摘要
利用分形理论论证土石混合体的层次性,建立土石混合体的二维分形结构模型,提出粗、细料无标度区间粒度分维值的概念;通过100组筛分析实验分析土石混合体的粒度分形特征并分析其与含石量的关系;通过大型三轴试验分析土石混合体的粒度分维值与抗剪强度的关系。研究结果表明:土石混合体具有统计意义上的自相似性,一般存在2个粒度无标度区间,具有2个粒度分维值,但对于最优级配土石混合体是一维分形;土石混合体粒度分维值与含石量及强度之间均呈抛物线性关系,对于只具一维分形的土石混合体具有最大的密实度和抗剪强度。
Layers of earth-rock aggregate were proved with fractal geometry theory,double fractal model was set up and the concepts of granule and coarse grain granularity dimension value were put forward. The granularity fractal characters of earth-rock aggregate and relationships between granularity dimension value and rock content were analyzed by great mechanical sieving tests. Relationship between granularity dimension and shear strength of earth-rock aggregate was discussed by large three axes tests. The results show that earth-rock aggregate has self-similar in statistics which often has two non-scale ranges and two granularity dimension values,but it is 1-D fractal for earth-rock aggregate of optimal gradation. Relationships between granularity dimension value and rock content or strength property of earth-rock aggregate can be displayed with curves of parabola. Earth-rock aggregate with only 1-D fractal has the largest compactedness and shear strength.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2010年第3期1096-1101,共6页
Journal of Central South University:Science and Technology
基金
国家自然科学基金创新群体基金资助项目(50621403)
教育部新世纪优秀人才支持计划项目(NCET-05-0763)
关键词
土石混合体
分形
粒度分维值
含石量
抗剪强度
earth-rock aggregate
fractal
granularity dimension value
gravel content
shear strength
