论文部分内容阅读
针对Biot固结基本方程的特点,在构建满足边界条件的位移和超静孔压试探函数的基础上,由Galerkin法建立了考虑孔隙流体可压缩性渗透各向异性层状土体中平面应变固结问题的半解析数值求解格式,并利用三角函数系的正交性实现了加权余量方程按不同级数项的解耦。在此基础上,编制相应计算程序实现了半解析数值方程的求解。通过算例对比分析验证了半解析数值方法的正确性,并说明了其处理渗透各向同性、孔隙流体可压缩性和土体层状的能力。
Aiming at the characteristics of Biot consolidation equations, based on the construction of displacement function and hyperaculated pore pressure test function that satisfies the boundary conditions, a Galerkin method is established to consider the plane strain strain in the compressible and permeable anisotropic layered soils The problem of semi-analytical numerical solution of the problem, and the use of trigonometric functions of the orthogonality of the weighted residual equations to achieve the decoupling of different series of terms. On this basis, the corresponding calculation program is compiled to solve the semi-analytical numerical equation. The correctness of the semi-analytical numerical method is verified through numerical examples and its ability to deal with permeable isotropy, compressibility of pore fluid and layered soil is demonstrated.