A Semi-Analytical Solution of Single-Phase Elastic Foundation Three-Dimensional Static Characteristics
Based on the single-phase elastic soil medium control equations and boundary conditions , by using the weighted residual method, a semi-analytical theory of elastic foundation three-dimensional static response was established. When the uniformly distributed loads were applied on the elastic half space foundation, the change rules of vertical displacement, lateral displacement, lengthways displacement were analyzed numerically, and compared with the theoretical solution . The result shows that foundation displacements are completely symmetrical or antisymmetrical about x = 0 plane and y = 0 plane. The maximum vertical displacement appears in the center of load range, the maximum lateral and lengthways displacements appear at the edge of load range, and the displacements get smaller far from the loads.
Qing Yang, Li Hua Zhu, Jing Jing He, Zeng Feng Yan and Rui Ren
C. Q. Cao et al., "A Semi-Analytical Solution of Single-Phase Elastic Foundation Three-Dimensional Static Characteristics", Advanced Materials Research, Vols. 368-373, pp. 2740-2743, 2012