集中力作用在弹性半无限平面内的Melan解研究

针对长条形基坑开挖的变形问题，通过对Melan给出的集中力作用在弹性半无限平面内应力解的研究，发现其不满足弹性力学相容方程。对此，利用弹性力学中平衡方程、应力几何方程结合位移边界条件，给出了集中力作用在弹性半无限平面内应力修正解，推导出相应的位移解，并利用有限元ABAQUS计算结果验证位移解的正确性，同时说明了应力修正解的正确性。

Study on Revised Melan’s Solution of Concentrated Force Acting in Elastic Semi-infinite Plane

For the deformation caused by excavation of long strip foundation pit, the stress solution given by Melan about concentrated force acting in elastic semi-infinite plane was studied, and found out not to meet the compatible equation of elastic mechanics. Accordingly, the equilibrium equations of elastic mechanics and the stress geometric equation were used with the displacement boundary conditions to give the revised solution thereof and deduce the corresponding displacement solution; and then in view of the result calculated by finite element ABAQUS, the displacement solution was proved to be correct, simultaneously, the revised stress solution to be correct also.