底面为曲面基础地基极限承载力上限解

为了解决曲面基础作用于土体的极限承载力问题，改进了 Prandtl 机构和 Hill 机构，利用极限分析理论，得到了底面为曲面基础地基极限承载力的上限解；通过两者的比较，以及与底面为平面基础地基极限承载力的比较，所得的上限解大于处于地基表面的平面基础地基极限承载力的上限解，小于埋深为基础宽度一半的平面基础地基极限承载力的上限解，研究结果可供地基承载力设计及计算参考。

Upper bound solutions of ultimate bearing capacity of curved footing

The bearing capacity of curved footing over foundation soil is considered.In order to solve the ultimate bearing capacity of curved footing on the soil,the Prandtl and the Hill mechanisms are improved.The kinematic approach of the limit analysis is used to calculate the average limit pressure under footings.Using the limit analysis methods,the upper bound solutions of the ultimate bearing capacity are obtained.By comparison,the solutions are greater than those of the ultimate bearing capacity of the plane footing and less than those of the ultimate bearing capacity of the plane footing with which the buried depth is half the width.The analytical solutions can be used for calculation of curved footing.