柱孔扩张问题的解析解及应用

本文在引入参数Irr的基础上，推导了圆柱孔扩张的解析解和相应的弹、塑性区应力、位移表达式，并对沉桩挤土产生的桩侧水平位移进行预估，发现采用圆柱孔扩张理论的预估值与实测值能较好地吻合，但在地表附近和桩端区域有较大误差,沿桩长方向土体变形的塑性区域类似开口向上的喇叭形，变形区域随着土体深度的增加而逐渐减小，弹塑性交界处的径向应力σR和环向应力σθ为常数，与交界处半径R无关。

An Analytical Solution of Cylindrical Cavity Expansion and its Application

Based on the introduction of the parameter I rr , an analytical solution of cavity expansion is inferred together with the corresponding expressions of stress and displacement in elastic and plastic zone respectively. The laterally horizontal displacements of the pile installation are predicted and it is found that they are good agreement with the test values. But the differences in the ground surface and the vicinity of the pile toe are large. The deformation zone in longitudinal direction is similar to the shape of bugle. And the scope of plastic zone decreases with the increase of the depth. It is shown that the radial stress and the circumferential stress are constants, independent of the radius at the boundary of the elastic plastic zone.