突变理论在单桩竖向承载力确定中的应用

Application of Catastrophe Theory in Ascertainment of Vertical Bearing Capacity of Single Pile

灌注桩竖向承载力确定的方法较多,但因延性破坏和脆性破坏难以区分,没有一个理想的公式。针对此问题,拟定了灌注桩受竖向荷载时的荷载与位移的关系曲线,并将其运用于突变理论,导出了单桩竖向承载力的计算公式,给出了延性破坏与脆性破坏的界定标准。

Although many kinds of theories are used to ascertain vertical bearing capacity of cast-in-place pile, it is difficult to distinguish ductility failure and brittle failure with these theories, and there is no the best formulation. To solve this problem, the load-displacement curve is supposed when the cast-in-place pile bears vertical load, and the curve is applied for the catastrophe theory. As a result, the formulation of the vertical bearing capacity of single pile is deduced, meanwhile, the dividing line between the ductility failure and brittle failure is demarcated.