应力强度因子的区间分析方法

 传统上用来处理不确定性问题比较有效的方法是概率分析方法，本文应用区间分析方法对具有不确定参数的应力强度因子进行估计。该方法以区间数学为基础，将不确定参数描述为区间变量；再利用Taylor级数展开通过区间运算得到应力强度因子的区间范围，从而为工程设计提供可信的数据。区间分析方法优于传统的概率分析方法的是：它不需要预先知道关于不确定参数大量的统计数据信息，并且具有计算方法简便、实用和精度高的特点。最后，通过对两种裂纹情况的计算将区间分析方法和传统的概率分析方法进行比较，说明了该方法的有效性。

Interval Analysis for Stress Intensity Factors

Traditionally,the effective method to solve uncertain problems is the probabilistic analysis method.In this paper,the stress intensity factors with uncertain parameters are estimated by the interval analysis method.The interval analysis method is based on interval mathematics and described all the uncertain parameters in terms of interval numbers.Then by means of Taylor series expansion and interval calculation,we can obtain the interval ranges of stress intensity factors.This method can provide creditable data for engineering applications.The interval analysis method is better than the traditional probabilistic analysis method in that it does not require a large number of prior statistical data about the uncertain parameters,and the method is simple,easily applicable and the results highly precise.Finally,the solution of two cases of crack is used to illustrate that the interval analysis method is more effective as compared with the traditional probabilistic method.