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采用积分变换、算子法研究了多层地基二维Biot固结问题,获得地基表面作用荷载时任意层内任意点应力(包括孔压)、位移(包括流体流量)的一般积分形式解。按照本文的方法也能获得多层地基Biot固结的“Mindlin问题”的解答。本文的结论可推广应用于边界元法求解多层二维Biot固结问题。
Integral transformation method and operator method are used to study the two-dimensional Biot consolidation problem of multi-layered soils. The general integral form solution of stress (including pore pressure) and displacement (including fluid flow) at any point in any layer on the ground surface is obtained. The solution to the “Mindlin problem” of Biot consolidation in multi-layered ground can also be obtained according to the method of this paper. The conclusion of this paper can be generalized and applied to the boundary element method to solve the multi-layer two-dimensional Biot consolidation problem.