Computation of point load solutions for geo-materials exhibiting elastic non-homogeneity with depth
This paper presents analytical solutions and associated computational methods for the stresses and displacement field in elastic geo-materials induced by external loading concentrated at a point. The geo-materials can have their elastic properties exhibiting arbitrary variations in depth and keeping constant in lateral directions. Numerical results 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 external loading.
point loads geo-materials non-homogeneity analytical solution stress displacement integral transforms