非对称载荷下裂纹的瞬态扩展

Transient Propagation of Cracks Under Asymmetrical Loads

本文研究在非对称突加集中载荷作用下,裂纹(平面应变)萌生并自相似扩展的问题。根据波动方程的函数不变解引入两个新的解析函数,然后运用Schwarz延拓原理并结合对复函数的奇性主部分析获得了解析解,算出了动应力强度因子。解答的极限情形与对应静裂纹的解吻合。

The problem of a crack (plane strain) opened by a asymmetrical concentrated loads applied abruptly, and propagating self-similarly has been investigated. Two new analytic functions are introduced on the basis of functionally-invariant solution of the wave equation. Analytic solutions are obtained by using Schwarz principle integrated with the analysis of the si rgularity of complex functions. Expressions for dynamic stress intensity factors are given. These expressions in its limit coincide with their counterparts for stationary cracks.