偏心裂纹板受剪应力作用下的弹塑性解析解

利用裂纹线场方法对岩石材料偏心裂纹板受剪应力作用时进行了弹塑性分析,并且获得了理论解.这个解包括:裂纹线附近弹塑性边界上的单位法向矢量,裂纹线附近的弹塑性解析解、最大塑性区长度、裂纹线上的塑性区长度随荷载的变化规律及其承载力.该分析不受小范围屈服假设的限制,并且不附加假设条件,其结果在裂纹线附近足够精确.

Elastic-plastic Analytical Solution for an Eccentric Crack Loaded by Shear Forces in a Finite Rock Plate

The near crack line analysis method is used to investigate an eccentric crack loaded by shear forces in a finite plate,and the analytical solution are obtained.The solutions include: the unit normal vector of the elastic-plastic boundary near the crack line,the elastic-plastic stress fields near crack line,law that the length of the plastic zone along the crack line is varied with an external loads,the maximum lengths of the plastic zone,the bearing capacity of a finite plate with an eccentric crack loaded by shear forces.The results are sufficiently precise near the crack line because the assumptions of the small scale yielding theory have not been made and no other assumption have been taken.