【摘要】 根据饱和土Biot固结理论,采用特殊积分法在柱坐标系下,建立了饱和土体固结的轴对称边界元积分方程。首先通过全局形函数及虚密度函数表示饱和土体Navier方程中的孔压与孔隙流量方程中的瞬态项,从而得到特殊的孔压、位移及流量积分,然后在柱坐标系下将特殊解沿环向积分,得到饱和土体固结问题的轴对称边界元积分方程,最后通过算例与文献结果进行比较,验证此方法的正确性。更多还原

【Abstract】 Based on the Biot’s consolidation theory and according to the particular integrals method,the axisymmetric BEM formulation is developed for analyzing the consolidation of saturated soil in the cylindrical coordinates.By approximating the pore pressure loading term in the Navier equation and the transient terms in the pore fluid flow equation with known global shape functions and fictitious density functions,the particular integrals for displacement and pore pressure can be easily derived.In order to obtain the corresponding axisymmetric BEM formulation for analyzing the consolidation of the saturated soil,the particular integrals are rewritten in cylindrical coordinates by integrating along the circumferential direction.Numerical results for axisymmetric problems of soil consolidation are given and compared with the known results to demonstrate the validity and accuracy of the present formulation.更多还原