土体固结问题的一种边界元解法

Solution of Soil-body Concretion by Boundary Element Method

对饱和土体的Terzaqhi-Rendulic固结理论,采用稳态势问题(即Laplace方程)的基本解,并将时间变量和空间变量分离,导出了边界元的求解公式,可采用逐步积分求解.以二维问题为例,采用常数边界单元进行离散处理,编制了计算机程序.作为算例,计算了半无限大土体受均布载荷的固结问题,与解析解相比较,说明边界元方法是很有效的,同时该方法也能很方便地推广到解空间土体固结问题.

Following the TerzaqhiRendulic's concretion theory on saturation soilbody,using the fundamental solution to the potential problem(i.e. Laplace equation) and separating the variable of time from that of space,the disperse was progressed by the constant element and a computer program was edited for the twodimensional case.As an example ,the concretion of infinite big soilbody indicated that the method proposed was more valuable than the theoretical answer. The method can be easily further extended to the problem of space soil-body concretion.