这份报纸在任意的点负担在笛卡儿的坐标系统导致的有弹性的分层的 geo 材料为压力和排水量地论述分析解决方案。点负担答案能被指不可分的变换和转移矩阵技术获得。然而,以前的答案通常在受到装载的 axisymmetric 的圆柱的坐标系统存在。在笛卡儿的坐标基于建议答案,解决不对称的问题并且在 multi-layered geo 材料与内部负担考虑条件是很容易的。而且,点负担答案能被用来为有弹性的问题的分析检查构造答案并且合并了到象边界元素方法那样的数字计划。在这份报纸讨论的结果显示在有高精确性和效率的点负担答案的评估没有问题,并且材料非同质由于邻近的装载在有弹性的地上有重要效果。
This paper presents analytical solutions for the stress and displacement field in elastic layered geo-materials induced by an arbitrary point load in the Cartesian coordinate system. The point load solutions can be obtained by referring to the integral transform and the transfer matrix technique. However, former solutions usually exist in the cylindrical coordinate system subjected, to axisymmetric loading. Based on the proposed solutions in the Cartesian coordinate, it is very easy to solve asymmetric problems and consider the condition with internal loads in multi-layered geo-materials. Moreover, point load solutions can be used to construct solutions for analytical examination of elastic problems and incorporated into numerical schemes such as boundary element methods. The results discussed in this paper indicate that there is no problem in the evaluation of the point load solutions with high accuracy and efficiency, and that the material non-homogeneity has a significant effect on the elastic field due to adjacent loading.