Stress and Displacement Fields in Nonhomogeneous Foundations under Complicated Loads
|School||Shandong University of Science and Technology|
|Keywords||generalized Kelvin solution complicated loads nonhomogeneous foundations stress and displacement fields|
For the foundation soil deposited naturally, it is always layered and nonhomogeneous. So, a layered foundation model is put forward, and it can well reflect the characteristics of every layer of soil. On one hand, the layered foundation is very universal in geotechnical engineering because of geology activities; on the other hand, there are all kinds of buildings with different sizes of loading fields and different shapes of loads. From these two aspects, calculations and analysis aiming at complicated loads and nonhomogeneous foundations is carried out.Adopting generalized Kelvin solutions, this paper calculates stresses and displacements at given points by integrating in the whole field. So, this method can calculate all components of stresses and displacements at any point; by adopting the generalized solution of layered materials and meshing only in loading field, the accuracy is advanced correspondingly.By discretizing the loading field with eight-node isoparametric elements, the calculating mesh is formed. This kind of element is of good adaptability, it can analyze non-uniform loads accurately, and adapt to loads with complicated boundaries.In order to verify the accuracy of this method, two examples with analytic solution are calculated and compared with the ones by the method of this paper. It can be found that the accuracy of the proposed method is very high, and the error range between numerical and analytic solutions is very small, so this method can be used to the calculation and analysis in actual engineering. Then two foundation models in engineering are introduced. Aiming at these two models, their stress and displacement fields are calculated and analyzed by the method of this paper. The stress and displacement fields of nonhomogeneous foundations under uniform loads, non-uniform loads and loads with irregular boundaries are calculated and analyzed in order to find some information with directing meanings to actual engineering.