Investigation of Hole-Edge Crack Problem by a Combined Complex Variable and LeastSquare Method

摘要

A full field solution is developed for a region weakened by a hole with a pair ofcracks of different lengths emanating from the hole edge. Based upon Muskhelishvili's complex variable method, the solution is constructed in terms of stress functions in such a way that all the basic equations and the single value condition of displacements within the region, and the traction free condition on crack surfaces are satisfied exactly. The remaining boundary conditions are satisfied approximately by using the least square method in a boundary integral form. Calculations of K-values are made for a pair of cracks of different lengths and a single hole-edge crack in both infinite and finite plates. Information on the stress concentration (peak stress at the hole edge opposite to the single edge crack) is also included in the paper.