从统计资料不足的角度出发，研究一种岩土工程隐式功能函数非概率可靠性方法，作为概率可靠性方法的有益补充。首先利用系列区间扩展函数降低区间相关性，建立基于子区间法的隐式函数区间解的迭代程序；然后采用试验设计的方法，从全面设计的角度建立统计优化模型搜索最优解，达到一个目标区间内获得一个简单计算方案的目的；最后通过对功能函数中应力函数的区间解设置置信区间，形成有限计算代价下的偏向于绝对安全的隐式功能函数非概率可靠性模型。通过岩土工程中最小支护阻力函数演示该方法的具体操作程序。工程算例结果表明，由此得到的最小支护阻力上限值与蒙特卡洛模拟法最大值的相对误差为0.83%，偏向于绝对安全。

From the point of view of insufficient statistical data, a non-probabilistic reliability method for implicit performance function of geotechnical engineering is developed, which is a useful complement to the probabilistic reliability method. Firstly, we use the series of interval extension functions to reduce the interval correlation, and establish the iterative program for implicit function interval solution based on the subinterval method. Then, the experiment design is utilized to establish the statistical optimization model from the point view of comprehensive design to search the optimal solution and further to achieve a target range. Finally, by setting the confidence interval for the interval solution to stress function in the performance function, the non-probabilistic reliability model of the implicit performance function with limited computational cost is obtained. Moreover, through the solution for external function of support pressure, the detailed operation procedures of the non-probabilistic method are demonstrated. The results of the engineering examples show that the relative error between the maximum support resistance obtained by the proposed method and the maximum value of Monte-Carlo simulation is 0.83%, and the proposed method has a preference for absolute security.