ANALYTIC SOLUTION TO PORO MECHANICAL PROBLEMS IN A HOLLOW AXISYMMETRIC DOMAIN
中空轴对称域多孔介质力学问题的解析解

An analytic solution of coupled poro mechanical problem in a finite hollow axisymmetric elastic medium is given. According to Biot theory, the coupled elastic poro mechanical equations are derived rigorously and it is demonstrated that in the axisymmetric problems the diffusion equation can be uncoupled. In the problem of infinite domain the uncoupled diffusion equation is homogeneous and only the diffusion coefficient is changed. In the problem of finite domain the uncoupled equation is nonhomogeneous. In fact, it is a linear differential integral equation and can be solved by variables separation method in time domain.