借鉴结晶矿物学/粉体力学与工程中的配位数概念，基于Smith试验公式、Fisher经验公式和Young-Laplace公式，建立含水量、干密度或孔隙比等非饱和土的宏观状态量与两土颗粒之间水环体积、饱和角等微观状态变量之间的对应关系，从理论上推导并给出基质吸力的定量计算公式。计算结果表明：非饱和土基质吸力随含水量的增大而单调减小，二者表现为非线性关系；基质吸力与干密度或孔隙比表现为良好的线性关系，但在低含水量段，基质吸力随干密度的增大而增加的趋势明显，而在高含水量段，基质吸力则基本保持不变。计算结果与已有的试验结果吻合较好。%Referring to the concept of coordination number in crystallography and mineralogical science and powder material science and engineering,based on the formulas of Smith,Fisher and Young-Laplace,the corresponding relationship between macro variables such as water content,dry density,void ratio and micro variables such as saturation angle,volume between two soil particles,the quantitative calculation formula of matric suction is deduced. Calculation results show that:(1) Matric suction of unsaturated soil decreases with the increasing water content nonlinearly. (2) There is a linear correlation between matric suction and dry density,as well as void ratio. Matric suction increases with the increasing dry density at low water content while keeps no changes at high water content. The calculation result matches existing experimental results.
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