含裂纹半无限大板受集中力作用的应力强度因子

 本文釆用交替法求解了含边缘裂纹或内部裂纹或半无限长裂纹的半无限大板在板面内受集中力作用的应力强度因子。此法以平面弹性力学的两个问题为基础,而此两问题的解是已知的。第一个是裂纹表面受任意载荷的无限大板,第二个是半平面在边界上受任意载荷作用。然后交替地满足边界条件。计算结果已绘成曲线。

STRESS INTENSITY FACTORS FOR A SEMI-INFINITE PLATE WITH A CRACK UNDER CONCENTRATED FORCES

The stress intensity factors are obtained for a semi-infinite plate with a edge crack or an internal crack or a semi-infinite crack under concentrated forces at two points by the use of an alternating method. The method is based on two problems of the plane elastic theory. The first problem is an infinite plate with a centrical crack, which the faces are loaded with arbitrary distribution stress. The second problem. is the boundary of the half plate subjected to the arbitrary load. The solutions of these problems are obtained by a integral. For the first problem the solution is obtained by integrating the solution of an infinite plate with four symmetrically located normal forces on the crack faces. For the second problem, the solution is obtained by integrating the solution of a half plate with two symmetrically located normal forces on the boundary. Then the bounday conditions are satisfied alternatively. The integrals are evaluated by using Gruss rule with 32 nodes, and five iterations are used generally. The numerical iteration results are one percent more accurate. For some cases the results arc shown in curves.