The paper examines the elastic fields of displacements and stresses for a nonhomogeneous elastic half-space where the elastic parameters have a linear variation over a finite depth beyond which it is constant. The circular loading area is subjected to a uniform inclined load. The numerical method is developed by applying the fundamental solution of a layered elastic solid and integrating numerically it over the loading area. As a result, only the loading area needs to be discretized in using the proposed numerical method. Numerical examples of calculation of displacements are conducted, and excellent agreement with the existing closed-form solutions is obtained. The results obtained are used to understand the elastic fields induced by different types of loads in a nonhomogeneous medium.

中文翻译：

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圆形载荷作用下非均匀半空间的弹性场

本文研究了非均匀弹性半空间的位移和应力弹性场，该半空间中的弹性参数在有限的深度范围内具有线性变化，超过该范围即为常数。圆形加载区域承受均匀的倾斜载荷。通过应用层状弹性固体的基本解并在加载区域上进行数值积分来开发数值方法。结果，使用所提出的数值方法仅需要离散加载区域。进行了数值计算，并与现有的封闭形式解很好地吻合。获得的结果用于了解非均匀介质中不同类型的载荷引起的弹性场。