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A boundary/domain element method for analysis of building raft foundations

机译：建筑物筏式基础分析的边界元法

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In this paper, a new boundary/domain element method is developed to analyse plates resting on elastic foundations. The developed formulation is then used in analysing building raft foundations. For more practical representation, the considered raft plate is treated as thick plate with free edge boundary conditions. The soil or the elastic foundation is represented as continuous media (follows the Winkler assumption). The boundary element method is employed to model the raft plate; whereas the soil is modelled using constant domain cells or elements. Therefore, in the present formulation both the domain and the boundary of the raft plate are discretized. The associate soil domain integral is replaced by equivalent boundary integrals along each cell contour. The necessary matrix implementation of such formulation is carried out and explained in details. The main advantage of the present formulation is the ability of analysing rafts on non-homogenous soils. Two examples are presented including raft on non-homogenous soil and raft for practical building applications. The results are compared with those obtained from other finite element and alternative boundary element methods to verify the validity and accuracy of the present formulation.
机译：在本文中，开发了一种新的边界/域元素方法来分析弹性基础上的板。然后将开发的公式用于分析建筑筏基础。为了更实际地表示，将考虑的筏板视为具有自由边缘边界条件的厚板。土壤或弹性地基表示为连续介质（遵循Winkler假设）。采用边界元法对筏板进行建模。而土壤是使用恒定域细胞或元素建模的。因此，在本发明中，筏板的区域和边界都是离散的。沿每个像元等值线的等效边界积分替换了相关的土壤域积分。进行并详细解释了这种配方的必要矩阵实现。本制剂的主要优点是能够分析非均质土壤上的筏。介绍了两个示例，包括非均质土壤上的筏和实际建筑应用中的筏。将结果与从其他有限元和替代边界元方法获得的结果进行比较，以验证本公式的有效性和准确性。

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