利用拉梅谐和函数理论，证明了共焦椭球成层分布三轴椭球体的外部引力位与均质三轴椭球体的外部引力位具有一致的形式。

The purpose of this paper is to give an analytical expression of a tri axes ellipsoid body's gravitation potential with layered, focus tri axes ellipsoidal density distribution.

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首先，给出含有半圆柱形弹性夹杂的弹性半空间表面上任意一点、承受时间谐和的出平面线源荷载作用时的位移函数。

Displacement function for an elastic half space with half cylindrical elastic inclusion bearing steady state line source force on horizontal surface is first given.

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