Study On Mechanical Properties Of Beams On 2D Saturated Porous Media Foundation

Porous media is a kind of material widely existing in nature.Its form is that solid matrix contains a large number of pores,which are filled with liquid or liquid-gas two-phase materials,and there is a fluid-solid coupling phenomenon.Because of the particularity and universality of its structure,the study of its mechanical properties has very important research value.In this paper,two-dimensional saturated porous media is taken as the research object.In the first half,based on the basic equation,the dynamic general solution of two-dimensional saturated porous media is obtained.The method of using the dynamic general solution to obtain the relationship between surface stress and displacement of porous media half-plane foundation is attempted.In the second half,the Airy stress function is applied to obtain W.The refined theory of porous medium beam on inkle foundation is introduced into the study of porous medium foundation.The approximate relationship between surface displacement and stress of porous medium foundation is obtained,and a new foundation theory is obtained.Firstly,starting from the motion equation of solid skeleton,the velocity equation of fluid and the continuity equation,by introducing undetermined function,the basic equation is decomposed and two sets of decoupled equations are obtained.The decoupled equations are analyzed and deduced separately.Using Lur'e operator matrix theory,three kinds of harmonic functions are obtained.The general solution of dynamics is expressed.The steady-state general solution can be obtained by using the degenerate time term of the dynamic general solution.The completeness of the solution is proved in this paper.Secondly,based on the dynamic general solution and the properties of the quasi-harmonic function,the analytical solution of transverse loads on half-plane porous media is studied to some extent.Thirdly,by introducing Airy stress function of plane problem,the displacement and stress fields of porous media structures expressed by six undetermined functions are derived systematically and directly.According to boundary conditions,the refinement theory of porous media beams on Winkle foundation is obtained.Finally,the research method of refinement theory is extended to the study of porous media foundation theory.Using the same research steps,the relationship between surface displacement and stress of porous media is obtained,and a two-parameter foundation theory is obtained.