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中文摘要：
对于Ⅰ型和Ⅱ型这样简单的裂纹问题，用Westergaard应力函数可以简单地求解出应力场及位移场；对于Ⅰ-Ⅱ复合型这样复杂的裂纹类型，很难甚至不可能寻求其Muskhelishvili应力函数．通过具体实例试图给出一种探求Ⅰ-Ⅱ复合型裂纹的Westergaard应力函数方法，经验证找到了两种应力函数之间必然的数理逻辑联系，并将两者统一起来，说明了两种方法对于求应力场及位移场的等效性．
英文摘要：
For some simple cracks problem such as Ⅰ and Ⅱ ,We could easily get their stress fields and displacement fields with Westergaard stress functions. For some complex types of cracks such as Ⅰ-Ⅱ, it was very difficult or impossible to get their Muskhelishvili stress functions. This paper tries to give a method to search for Westergaard stress functions of Ⅰ-Ⅱ and to find out the logical mathematical relationship between the two functions and then to unify them,and further to explane the equivalence between the two methods for stress fields and displacement fields.
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