无侧限抗压强度试验结果的复杂度分析

岩土工程试验数据的数学物理关系与规律性探索是目前较难解决的问题,基于此利用组成论中的复杂度分析方法对无侧限抗压强度试验曲线进行了分析,并依据最复杂原理从数学关系上推导证明了分布函数的具体表达式。分析结果表明,无侧限抗压强度试验结果符合极值分布规律,理论分布函数与实测数据吻合较好,分布函数的表达式是在限制条件下得到的,这使数学推导过程有了明确的物理意义,有利于认识原位试验深刻的数学物理关系。以上结论的得出对复杂性分析应用于各种离散、变异系数高、不确定试验数据的深入分析具有积极意义。

Analysis on Complex of Unconfined Compression Strength Test Data

The mathematical-physical relationship and rules of geotechnical engineering test data are scabrous problems which have not been solved preferably.The unconfined compression strength data and curve were analysed by using complex method from the constitution theory.Based on most complex principle,the distribution function was calculated and proved.The analysis results show that(1) the data of unconfined compression strength test meet the extreme value distribution and the measured data;(2) as the formula of distribution function was obtained under constrict conditions,the derivation process has explicit physical meaning,and it is helpful to grasp the mathematical-physical relationship of in-situ soil test.This indicates that the complex method is significant for analysis of various test data which are discrete,variable and uncertain.