有限宽偏心裂纹板在裂纹面受两对集中拉力作用时裂纹线的弹塑性解析解

ELASTOPLASTIC ANALYSIS OF A FINITE PLATE WITH AN ECCENTRIC CRACK LOADED BY TWO PAIRS OF CONCENTRATED TENSILE FORCES

在实际中偏心裂纹板的受力问题比中心裂纹板受力问题更为普遍。利用裂纹线场分析法简化了弹塑性断裂力学问题的复杂性和数学上的困难,求得了偏心裂纹板在裂纹面上受两对集中拉力作用时裂纹线附近弹塑性边界上的单位法向量、裂纹线附近的弹塑性应力场以及裂纹线上的塑性区长度随荷载的变化规律。在理想弹塑性情况下,该文中的理论解在裂纹线场附近是足够精确的。

It is commonly known that the situation of eccentric crack in finite plate is more common than that of centric crack in finite plate. The near crack line analysis method is thusly used to simplify its solutions and reduce its mathematical difficulty. The analytical solutions for an eccentric crack in a finite plate loaded by two pairs of concentrated tensile forces are obtained, which includes the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line and the law of the plastic zone along the crack line with external loads. The solutions are sufficiently precise near the crack line in elastic-perfectly plastic materials.