摘要
本文应用文[1]建立的非饱和土固结的数学模型求解边值问题.借助Laplace变换和有限Fourier变换求得了一维问题的解析解,从控制方程同时解出了竖向位移、孔隙水压力和孔隙气压力,并给出了固结系数和固结度的理论公式.应用Galerkin权余法导出了二维固结问题的有限元方程,编制了8结点等参元FORTRAN程序CSU8,求解了平面应变固结问题,揭示了非饱和土固结的若干规律及数值分析的某些特点.这些成果为把本文的理论应用于工程实际提供了方便.
The present paper uses the mathematics model for consolidation ol un-;ai uraled soil developed in ref, [1] to solve boundary value problems. The analytical solutions for one-dimension consolidation problem are gained by making use of Laplace transform and finite Fourier transform. The displacement and (he pore water pressure as well as the pore gas pressure are found from governing equations simul-taneously. The theoretical formulae of coefficient and degree of consolidation at; also given in the paper. With the help of the Method of Galerkin duals, the finite element equations for tvro-dim玭sion consolid derived. A FORTRAN program named CSU8 using 8-nod<: isopar is designed. A plane strain consolidation problem is solved usin.i; and soma distinguishing features on consolidation of unsal us ad peculiarities on numerical analysis are revealed. These venient to apply the theory proposed by the author in
出处
《应用数学和力学》
CSCD
北大核心
1993年第8期687-698,共12页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助课题
关键词
固结度
瞬时沉降
非饱和土
有限元
pore water pressure
pore gas pressure
coefficitnl. of consol id ation degree of consolidation
initial settlement
finite element
