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中文摘要：
通过复变函数论的方法，对Ⅰ型动态裂纹二个扩展问题的位错分布函数分别进行了研究。采用自相似函数的方法可以获得运动裂纹的应力、位移、动态应力强度因子及位错分布函数的解析表达式。应用该法可以迅速地将所讨论的问题转化为Riemann—Hilbert问题，而后一问题可以用通常的Muskhelishvili方法进行求解，并且可以相当简单地得到问题的闭合解。利用已求得的解并通过迭加原理，就可以很容易地求得任意复杂问题的解。
英文摘要：
By application of the approach of the theory of complex functions, dislocation distribution function of two propagation problems concerning mode I dynamic crack was studied. Analytical solutions on stresses, displacements, dynamic stress intensity factors as well as dislocation distribution function of moving crack are attained by the method, of self-similar functions. The problems researched can be transformed into Riemann-Hilbert problems and their closed solutions are obtained rather simply in this way. Making use of the gained solution and superposition theorem, the solution of arbitrary complex problems are readily acquired.
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