【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。更多还原

【Abstract】 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.更多还原